Question 1 :
_____ suggested that the ships should be marked with load lines.<br>
Question 2 :
He was a professor of mathematics at St. Petersburg University, Prof. of anatomy and physics at the University of Groningen, and prof. of physics, anatomy and botany at the University of Basle. But he is most famous for what is known as 'Bernouilli's theorem'. Name the outstanding mathematician- of a well-known Swiss family.
Question 3 :
Which of the following is not the contribution of Sir Issac Newton?
Question 4 :
What is the study of the modern theory of the strong forces between quarks?
Question 5 :
Assertion: Assertion : In physics, we attempt to derive the properties of a bigger, more complex system from the properties and interactions of its constituent simpler parts.
Reason: Reason : This approach is called unification and is at the heart of physics.
Question 6 :
In which year did Hahn and Meitner discover the phenomenon of neutron-induced fission of uranium. ?
Question 7 : <p>Which Indian scientist is known for his crucial role in the development of Indias missile and nuclear weapons programmes?</p>
Question 8 :
Assertion: Assertion : The basic laws of electromagnetism govern all electric and magnetic phenomena.
Reason: Reason : The attempts to unify fundamental forces of nature reflect the quest for unification.
Question 9 :
The force of gravity cannot act at a distance. State true or false.<br/>
Question 10 :
Assertion: Assertion : If we perform an experiment in our laboratory today and repeat the same experiment on the same objects under identical conditions after a year, the results are found to be the same.
Reason: Reason : The laws of nature do not change with time.
Question 13 :
A person walks $100$m, holding a suitcase of weight $100$N. The work done by the applied force is _________J.
Question 14 :
Name the latest theory of fundamental physics in which the basic entity is a one-dimensional object as against the 'zero-dimensional' points representing the elementary particles.
Question 18 :
Nuclear power plant is example of invention related to which field ?<br>
Question 20 :
The man who is known as the Father of Experimental Physics is
Question 22 :
Which of the following books is not written by Werner Heisenberg?
Question 23 :
The first husband-wife team to get the Nobel Prize for Physics was.
Question 25 :
The branch of science which deals with nature and natural phenomena is called
Question 26 :
Which of the following class of forces is different from others?<br>
Question 27 :
'Raman Effect' is named after which of the following Indian scientists?
Question 29 :
State whether given statement is True or False.<br/>Science is Classified into various branches like physics, chemistry, biology, medical science, agriculture science ?<br/>
Question 32 :
Pick out the correct statement about the strong nuclear force from the following.<br>$S1$ : It is charge independent.<br>$S2$ : It is the strongest force in nature.<br>$S3$ : Its range is very large.<br>$S4$ : It is responsible for the stability of nuclei.
Question 33 :
Which of the following does not depict the correct link between technology and physics. ?
Question 35 :
Marie Curie is credited to the development of which of the following element ?
Question 36 :
A stone thrown upward with a speed 'u' from the top of the tower reaches the ground with a velocity '3u'. The height of the tower is :-
Question 37 :
A bus moving with a speed of $10m/s$ on a straight road. A scooterist wishes to overtake the bus in $100s$. If the bus is at a distance of $1km$ from the scooterist, with what speed should the scooterist chase the bus?
Question 38 :
A stone is dropped from a tower. It was found that it covered a distance of $45m$ during its last second of the fall. Calculate the time of the fall and the height of the tower? $\left( g=10m{ s }^{ -2 } \right) $
Question 39 :
A body is thrown up with an initial velocity u and it covers a maximum height of h, then h is equal to
Question 40 :
A ball is thrown vertically upward with speed $10$ m/s and it returns to the ground with speed $8$ m/s. A constant air resistance acts. The maximum height attained by the ball is?
Question 41 :
A body projected vertically upwards with a velocity u return to the starting point in 4second .If $g=10m^{-2}$ the value of u is $(m/s)$:-
Question 42 :
Two stones are dropped from the top of a tower at half a second apart. The time after dropping the first stone at which the distance between the two stones is 20 m is $(g = 10 ms^{-2})$
Question 43 :
A ball thrown in the air reaches a height of 10 m and drops down to the ground. Find the time taken by the ball to complete this entire journey.
Question 44 :
Two particles A and B having different masses are projected from a tower with same speed. A is projected vertically upward and B vertically downward. On reaching the ground.<br>
Question 45 :
A helicopter is flying south with a speed of $50\, km h^{-1}$. A train is moving at the same speed towards east. The relative velocity of the helicopter as seen by the passengers in the train will be towards
Question 46 :
The position of an object moving along x-axis is given by x = a + $bt^2$, where a = 8.5 m and b = 2.5 m $s^{-2}$ and t is measured in seconds. The average velocity of the object between t = 2 s and t = 4 s is
Question 47 :
Two towns A and B are connected by a regular bus service with a bus leaving in either direction every T minutes. A man cycling with a speed 20 $km \ h^{-1}$ in the direction A to B notices that a bus goes past him every 10 min in the direction of his motion, and every 2 min in the opposite direction. The speed of the bus on the road is:
Question 48 :
Assertion: A person seated in a moving train is a rest with respect to another train moving in the opposite direction.
Reason: If the train covers equal displacement in equal intervals of time then it moves with uniform acceleration.
Question 49 :
Raindrops falling vertically down appear to fall at $45^{\circ}$ on a man when he moves horizontally at $5 ms^{-1}$ and $30^{\circ}$ with vertical when he reduces his speed. His new speed is (in $ms^{-1}$)
Question 50 :
Two forces 3N and 4N act on a body of mass 5 kg at right angles. The acceleration of the body is
Question 51 :
How long will the ball take to reach its starting point? (in seconds)
Question 52 :
If the distance travel by a uniformly accelerated particle in $pth, qt$ and $rth$ second are $a, b$ and $c$ respectively. Then
Question 53 :
A bucket placed in the open where the rain is falling vertically. If a wind begins to blow horizontally at double the velocity of the rain, how will the rate of filling of the bucket change?
Question 54 :
A body is projected vertically up with u. Its velocity at half its maximum height is?
Question 55 :
The acceleration, $a$, of a particle depends on displacement, $s$, as $a=s+5$. It is given that initially $s=0$ and $v=5 m/{ s }$. Then, the expression for velocity $v$ as a function of $s$ is :<br/>
Question 56 :
A particle starts from the origin with a velocity of 10 m/s and moves with a constant acceleration till the velocity increases to 50 m/s. At that instant, the acceleration is suddenly reversed. What will be the velocity of the particle, when it returns to the starting point?
Question 57 :
A man is driving at the speed $40 mph$ when he see an obstacle at distance $300 ft$ ahead of his position. The driver applies the brakes and decelerates at $10 ft/s^2$ How long does it take him to stop the vehicle? (in s)
Question 58 :
A man is driving at the speed $40 mph$ when he see an obstacle at distance $300 ft$ ahead of his position. The driver applies the brakes and decelerates at $10 ft/s^2$.How far from the obstacle will the driver be when he finally stops? (in metres)
Question 59 :
Two cars 1 & 2 starting from rest are moving with speeds $V_1 $ and $V_2 m/s (V_1 > V_2),$ car 2 is ahead of car '1' by 'S' metres when the driver of car '1' sees car '2'. What minimum retardation should be given to car '1' to avoid collision.
Question 60 :
A particle moves in circle of radius $9m$. Its linear speed is given by $v=3t$. What is the net acceleration of the partical at $T=2\ sec$.
Question 62 :
Is it possible to have an accelerated motion with a constant speed? Name such type of motion.<br>
Question 64 :
In uniform circular motion, the velocity vector and acceleration vector are:
Question 65 :
At the top of the trajectory of a projectile, the acceleration is :
Question 66 :
A ball is thrown with a velocity $6 \hat{j}$ with an acceleration $6 \hat{i}+2 \hat{j}$. The velocity of the ball after $5\ seconds$ is
Question 67 :
The angular elevation of an enemy's position on a hill of height $h$ is $\theta$. What should be the minimum speed of the projectile in order to shell the enemy ? <br>
Question 68 :
The motion of a body is given by the equation $\dfrac{dv}{dt} = 6 - 3v$ where v is the speed in $ m \ s^{-1}$ and t is time in s. The body is at rest at t = 0. The speed varies with time as
Question 69 :
If a person $A$ is moving with velocity $2Km/h$, person $B$ is moving withe velocity $3km/h$ and the angle between the direction of movements of $A$ and $B$ is ${60}^{o}$, then the velocity of $A$ relative to $B$ in the direction of $A$ is
Question 70 :
A train of $150 \ m$ length is going towards north direction at a speed of $10\;ms^{-1}$. A parrot flies at a speed of $5\ ms^{-1}$ towards south direction parallel to the railway track. The time taken by the parrot to cross the train is equal to:
Question 71 :
A body is projected horizontally from a point above the ground and motion of the body is described by the equation $x=2t, y=5t^2$ where $x,$ and $y$ are horizontal and vertical coordinates in meter after time $t$. The initial velocity of the body will be
Question 72 :
An aircraft executes a horizontal loop of radius $1\ km$ with a steady speed of $900\ kmh^{-1}$. Find its centripetal acceleration.
Question 73 :
The magnitude of a vector which results on addition of two vectors $6 \hat {i}+7 \hat {j}$ and $3 \hat {i}+4 \hat {j}$:
Question 74 :
A stone is field to one end of string $50\ cm$ long and is whirled in a horizontal circle with constant speed. If the stone makes $10$ revolutions in $20\ s$, then what is the magnitude of acceleration of the stone:-
Question 75 :
Starting from rest, the acceleration of a particle is $a=2(t-1)$. The velocity of the particle at $t=5\,s$ is:-
Question 76 :
Two particles projected from the same point with same speed u at angles of projection $\alpha$ and $\beta$ strike the horizontal ground at the same point. If ${ h }_{ 1 }$ and ${ h }_{ 2 }$ are the maximum heights attained by projectiles, $R$ be the range for both and ${ t }_{ 1 }$ and ${ t }_{ 2 }$ be their time of flights respectively, then 
Question 77 :
The velocity vector of a particle moving in the xy plane is given by v=ti +xj. If initially , the particle was at origin then the equation of trajectory of the projectile is:
Question 78 :
If the vectors $3\overrightarrow { p } +\overrightarrow { q } ;5\overrightarrow { p } -3\overrightarrow { q } $ and $2\overrightarrow { p } +\overrightarrow { q } ;4\overrightarrow { p } -2\overrightarrow { q } $ are pairs of mutually perpendicular vectors then $sin\left( \overrightarrow { p } \wedge \overrightarrow { q } \right) $ is
Question 79 :
The displacement (s) of a particle moving along a straight line is related to time $t$ as $s=at^{3}+bt^{3}+ct$, where $a,b$ and $c$ are constants. What is the ratio of its initial velocity and initial acceleration?
Question 80 :
A pulley $1m$ in diameter rotating at $600 r.p.m.$ is brought to rest in $80\ s$. By constant force of friction on its shaft. How many revolutions does it moves?
Question 81 :
A particle moves in the $x-y$ plane with only an $x$-component of acceleration of $2ms^{-2}$. The particle starts from the origin at $t = 0$ with an initial velocity having an $x$-component of $8ms^{-1}$ and $y$-component of $-15 \ ms^{-1}$. Velocity of particle after time $t$ is :
Question 82 :
A boat moving perpendicular to the bank with a velocity of $7.2$ km/h. The current carries it $150$m downstream, find the velocity of the current.(The width of the river is $0.5$ km).
Question 83 :
A car is moving with speed $10m/s$ on a circle path of radius $2m$. If speed is increasing at the rate of $10m/s^{2}$. The acceleration of car is
Question 84 :
A particle starts from the origin of coordinates at time $t=0$ and moves in the $xy$ plane with a constant acceleration $\alpha$ in the $y$-direction. It's equation of motion is $y=\beta { x }^{ 2 }$. It's velocity component in the $x$- direction is <br/>
Question 85 :
Consider the lines: <br/>$\displaystyle L_{1}:\dfrac{x+1}{3}= \dfrac{y+2}{1}= \dfrac{z+1}{2}$ and $\displaystyle L_{2}:\frac{x-2}{1}= \dfrac{y+2}{2}= \dfrac{z-3}{3}$.The unit vector perpendicular to both $\displaystyle L_{1}$ and $\displaystyle L_{2}$ is
Question 86 :
Let $\overrightarrow{a}$ and $\overrightarrow{b}$ be unit vectors inclined at an variable angle $\theta \left( \theta \epsilon \left( 0,\frac{\pi}{2} \right)(\frac{\pi}{2}, \pi) \right).$<br>Let $g(\theta)= {\int}_{-(\overrightarrow{a}.\overrightarrow{b})^2}^{-\lambda} f^2(x)dx+ {\int}_{\lambda}^{|\overrightarrow{a}\times \overrightarrow{b}|^2} f^2(x)dx-\frac{2}{\lambda}, where \lambda > 0 , $is function satisfying $ \displaystyle f(x)+f(y)=\frac{x+y}{xy}, x, y\epsilon R-[0] \; and \; h(\theta)=-g(\theta)+|\overrightarrow{a}\times \overrightarrow{b}|^2.(\overrightarrow{a}. \overrightarrow{b}_1)^2, \overrightarrow{b}_1 = 2\overrightarrow{b}$<br>If $|g(\theta)|$ is attaining its minimum value, then minimum distance between origin and the point of intersection of lines $\overrightarrow{r}\times \overrightarrow{a}=\overrightarrow{a}\times \overrightarrow{b}$ and $\overrightarrow{r}\times \overrightarrow{b} = \overrightarrow{b}\times \overrightarrow{a}$ is
Question 87 :
A particle moves in the xy-plane with constant acceleration a directed along the negative y-axis. The equation of path of the particle has the form $\displaystyle y= bx-cx^{2},$ where $b$ and $c$ are positive constants. The velocity $v$ of the particle at the origin of coordinates will be
Question 89 :
The resultant of two forces P and Q is of magnitude P. If P be doubled, the resultant will be Inclined to Q at an angle
Question 90 :
Assertion: In projectile motion at any two positions $\displaystyle \frac{\vec{v}_{2}-\vec{v}_{1}}{t_{2}-t_{1}}$ always remains constant.
Reason: The given quantity is average acceleration, which should remain constant as acceleration is constant.
Question 91 :
If a car and a truck are moving with same momentum, the velocity of car is ........... the velocity of truck.<br/>
Question 92 :
A body of mass $5 kg$ undergoes a change in speed from $20$ to $0.20 {m}/{s}$. The momentum of the body would
Question 93 :
If a force of $250 N$ acts on a body, the momentum required is $125 Kg $m/s. The period for which the force acts on the body is
Question 94 :
A dog weighting $5\ kg$ is standing on a flat boat so that it is $10\ m$ from the shore. The walks on the boat towards the shore and then halts. The boat weights $20\ kg$ and one can assume that then no friction between it and the water. How far is the dog from the shore at the end of this time ?
Question 95 :
The action and reaction force referred to in the third law
Question 98 :
A man in a minivan rounds a circular turn at a constant speed. Which of the following would cause the minivan to experience less acceleration ?
Question 99 :
When a bullet is fired from a rifle its momentum become $20\ kg\ m/s$. If the velocity of the bullet is $1000\ m/s$ what will be its mass?
Question 100 :
A car is traveling at a high speed when it banks into a sharp left turn.<br>Which of the following statements best describes the reason a passenger in the vehicle is pressed outwards against the right side of the vehicle?
Question 101 :
A train weighting ${ 10 }^{ 7 }N$ is running on a level track with uniform speed of $36\ km/h$. The frictional force is $0.5\ kgf$ per quintal. What is the power of the engine?
Question 102 :
It is easier to roll a barrel full of coal tar than to pull it because
Question 103 :
A block $X$ kept on an inclined surface just begins to slide, if the inclination is $\theta_{1}$. The block is replaced by another block $Y$ and it is found that it just begins to slide, if the inclination $\theta_{2}$ if ( $\theta_{2} > \theta_{1}$). Then
Question 104 :
A block of mass $m$ slides down an inclined plane of inclination $\theta$ with uniform speed. The coefficient of friction between the block and the plane is $\mu$. The contact force between the block and the plane is
Question 105 :
A mass of 2 kg at rest travels for 4 seconds with an acceleration of 1.5 m $s^{-2}$. Find the gain of the momentum of the body.
Question 106 :
A $520$ gram block is sliding to the right on a surface that exerts a frictional force with coefficient of kinetic friction $\mu=0.400$. It collides with a horizontal spring with spring constant $k=18.0 {kg}/{{s}^{2}}$ which compresses by $12.0 cm$ as the block comes to rest.<br>What was the initial speed of the block?
Question 107 :
A stone ties to a rope is rotated in a vertical circle with uniform speed. If the difference between the maximum and minimum tension in the rope is $20\ N$, mass of the stone in $kg$ is:<br> ($\displaystyle g=10{ ms }^{ -2 }$)
Question 108 :
The velocity of a particle at highest point of the vertical circle is $\sqrt{3rg}$. The tension at the lowest point, if mass of the particle is $m$, is<br/>
Question 109 :
A car is travelling along a flyover bridge which is a part of vertical circle of radius $10\ m$. At the highest point of it if the normal reaction on the car is half of its weight, the speed of car is:<br/>
Question 110 :
If action and reaction were to act on the same body then <br>
Question 111 :
Which of the following statements for a rigid object undergoing pure translational motion are<b> </b>false?<br/>
Question 112 :
A bend in a level road  has a radius of $10 m$. Calculate the maximum speed which a car turning this bend may have without skidding. ($\mu\, =\, 0.81$)
Question 113 :
A horizontal force just sufficient to  move a body of mass $4kg$ lying on a rough horizontal surface, is applied on it . Coefficients of static and kinetic friction are $0.8$ and $0.6$ respectively. If the force continues to act even after the body has started moving, the acceleration of the body is:<br/> $(g=10\ ms^{-2})$
Question 114 :
An object is placed on the surface of a smooth inclined plane of inclination $\theta$. It takes time $t$ to reach the bottom. If the same object is allowed to slide down a rough inclined plane of same inclination $\theta $, it takes times nth to reach the bottom where $n$ number greater than $1$. The coefficient of friction $\mu$ is given by:
Question 115 :
A simple pendulum is released from rest with the string in horizontal position. The vertical component of the velocity of the bob becomes maximum, when the string makes an angle $\displaystyle \theta $ with the vertical. The angle $\displaystyle \theta $ is equal to
Question 116 :
A ball tied to the end of the string swings in a vertical circle under the influence of gravity.
Question 117 :
A stone of mass $1\ kg$ tied to a light inextensible string of length $L = \dfrac{10}{3}\ m$, whirling in a circular path in a vertical plane. The ratio of maximum tension in the string to the minimum tension in the string is $4$. If g is taken to be $10\ m/s^2$ the speed of the stone at the highest point of the circle is
Question 118 :
A block slides down on an inclined plane of slope angle $\theta$ with constant velocity. It is then projected up on the same plane with initial velocity $V_0$. How far up the incline will it move before coming to rest<br>
Question 119 :
A heavy block of mass $M$ is slowly placed on a conveyer belt moving with a speed $v$. The coefficient of friction between the block and the belt is $\mu$. Through what distance will the block slide on the belt ? <br/>
Question 120 :
A small mass slides down an inclined plane of inclination $\theta$ with the horizontal. The co-efficient of friction is $\mu\, =\, \mu\, x$ where x is the distance through which the mass slides down and $\mu$ a constant. Then the speed is maximum after the masscovers a distance of:
Question 121 :
What is the actual frictional force when the man has climbed $1.0$ m along the ladder?
Question 122 :
A solid sphere, a hollow sphere and a solid cylinder, all having equal mass and radius, are placed at the top of an incline and released. The friction coefficients between the objects and the incline are equal and but not sufficient to allow pure rolling. Greastest time will be taken in reaching the bottom by
Question 123 :
A block rests on a rough inclined plane making an angle of $30^{0}$ with the horizontal. The coefficient of static friction between the block and the plane is 0.8. If the frictional force on the block is 10 $\mathrm{N}$, the mass of the block (in kg) is $($take $\mathrm{g}=10\mathrm{m}\mathrm{s}^{-2})$: <br>
Question 124 :
Five identical balls each of mass $m$ and radius $r$ are strung like beads at random and at rest along a smooth, rigid horizontal thin rod of length $L$, mounted between immovable supports. Assume $10r < L$ and that the collision between balls or between balls and supports are elastic. If one ball is strung horizontally so as to acquire a speed $v$, the average force felt by the support is:<br/>
Question 125 :
A cricket ball of mass $0.25 kg$ with speed $10 m/s$ collides with a bat and returns with same speed within $0.01s$. The force acted on bat is (in $N$):
Question 126 :
An unbanked curve has a radius of $60\ m$. The maximum speed at which a car can make a turn if the coefficient of static friction is $0.75$, is:
Question 127 :
Assertion: STATEMENT-1 : If the mass of the colliding particles remains constant, then the linear velocity of the individual particles change during collision along common normal direction.
Reason: STATEMENT-2 : A pair of equal and opposite impulses act along common normal direction.
Question 128 :
To avoid slipping while walking on ice, one should take smaller steps because:<br>
Question 129 :
A car is travelling along a circular curve that has a radius of 50 m. If its speed is 16 m/s and is increasing uniformly at $\displaystyle 8 m/s^{2},$ determine the magnitude of its acceleration at this instant.
Question 130 :
A wheel of radius r rolling on a straight line, the velocity of its centre being v. At a certain instant the point of contact of the wheel with the grounds is M and N is the highest point on the wheel(diametrically opposite to M). The incorrect statements is?
Question 132 :
When $24.25\times { 10 }^{ 3 }$ is rounded off to three significant figures, it becomes :
Question 133 :
The accuracy in the measurement of the diameter of hydrogen atom measured as $1.06 \times { 10 }^{ -10 }$ m is :
Question 134 :
The distance traveled by a body in time $'t'$ is given by $x=a+bt+{ ct }^{ 2 }$ where $x$ is distance, $t$ is time $a, b$ and $c$ are constants. The dimensional formula for $a, b$ and $c$ respectively are :
Question 135 :
The value of $\sqrt { 2 } $ in correct significant digits is :
Question 136 :
The least count of a stop watch is $\dfrac{1}{5}$ second. The time of $20$ oscillations of a pendulum is measured to be $25$ seconds. The maximum percentage error in the measurement of time will be
Question 137 :
According to theory of significant figures $\left( 2.0 \right) ^{ 10 }$ is :
Question 138 :
A student measure the thickness of an object by three different instruments and gets the result as 0.5 cm, 0.50 cm, 0.500 cm. State the one which is more accurate.
Question 139 :
The dimensions of $\dfrac{(velocity)^2}{radius} $ are the same as that of:
Question 143 :
What is the order of magnitude of the distance of a quasar from us if light takes 2.9 billion years to reach us ?
Question 144 : Match List I with List II and select the correct answer using the codes given below the list<table class="wysiwyg-table"><tbody><tr><td>List I</td><td>List II</td></tr><tr><td>P. Boltzmann constant</td><td>1. $[ML^2T^{-1}]$</td></tr><tr><td>Q. Coefficient of viscosity</td><td>2. $[ML^{-1}T^{-1}]$</td></tr><tr><td>R. Planck constant</td><td>3. $[MLT^{-3}K^{-1}]$<br/></td></tr><tr><td>S. Thermal conductivity</td><td>4. $[ML^2T^{-2}K^{-1}]$</td></tr></tbody></table>
Question 145 :
The radius of the sphere is 1.41 cm. The volume of sphere to an appropriate number of significant figures will be:
Question 146 :
Which of the following relations for the displacement of a partide undergoing simple harmonic motion is not correct dimensionally?
Question 147 :
A physical quantity X is related to four measurable quantities a, b, c and d as given, X = $a^2b^3c^{5/2}d^{-2}$. The percentage error in the measurement of a, b, c and d are 1%, 2%, 2% and 4% respectively. What is the percentage error in quantity X?
Question 148 :
In equation $ y=x^2 cos^22 \pi\dfrac{\beta y'}{\alpha} $, if the units of $ x,\alpha,\beta $ are $ m,s^{-1} $and $ ({ms}^{-1})^{-1} $ respectively, then units of <i>y</i> and <i>y</i>' are
Question 150 :
The radius of a hydrogen atom is $0.5\mathring{A}$. Find the order of magnitude of volume of $1$ mole hydrogen in $m^3$. Given that 1 mole of hydrogen has $6.02 \times 10^{23}$ hydrogen atoms.<br/>
Question 152 :
With due regard to significant figures, add the following:<br>a. 953 and 0.324<br>b. 953 and 0.625<br>c. 953.0 and 0.324<br>d. 953.0 and 0.374
Question 153 :
A student measures the time period of $100$ oscillations of a simple pendulum four times. The data set is $90\ s, 91\ s, 95\ s$ and $92\ s$. If the minimum division in the measuring clock is $1\ s$, then the reported mean time should be:
Question 154 :
The length $ \ell $, breadth b and thickness t of a block of wood were measured with the help of a measuring scale. The results with permissible errors are $ \ell $ = 15.12 $ \pm $ 0.01 cm, t = 5.28 $ \pm $ 0.01 cm. $ b $ = 10.15 $ \pm $ 0.01 cm. The percentage error in volume upto proper significant figures is :
Question 155 :
A physical quantity $X$ is given by $X = \dfrac {2k^{3}l^{2}}{m\sqrt {n}}$<br>The percentage error in the measurements of $k, l, m$ and $n$ are $1$%, $2$%, $3$% and $4$% respectively. The value of $X$ is uncertain by
