Question 1 :
The slope of velocity-time graph for particle moving with uniform velocity is equal to

Question 3 :
A wheel spins on its axis at a constant rate and hasn't yet made a complete rotation.Which of the following statements is correct?

Question 4 :
Suppose a boy is enjoying a ride on a merry-go-round which is moving with a constant speed of $10\ ms^{-1}$. It implies that the boy is :<br/>

Question 5 :
A particle is kept fixed ona uniformly rotating tum-table. As seen from the ground,the particle goes in a circle, its speed is 10 cm/s and acceleration is $10\, cm/s^2$.The particle is now shifted to anew position to make the radius half ofthe original value. The new values of thespeed and acceleration willbe

Question 6 :
A body falls freely from a tower and travels a distance of $40\ m$ in its last two seconds. The height of the tower is (take $g = 10\ m/s^{2})$.

Question 7 :
A car moving along a circular path of radius R with uniform speed covers an angle $\theta$ during a given time t. What is its average velocity?

Question 8 :
If a particle is moving in such a way that it's average acceleration turns out to be different for a number of different time intervals, the particle is said to have variable acceleration. The acceleration can vary in magnitude, or in direction or both. In such cases we find acceleration at any instant, called the instantaneous acceleration. It is defined as $\vec { a } =\underset { \Delta t=0 }{\text{lim} } \cfrac { \Delta \vec { v }&#160; }{ \Delta t } =\cfrac { d\vec { v }&#160; }{ dt } $<br/>That is acceleration of a particle at time $t$ is the limiting value of $\cfrac { \Delta v }{ \Delta t } $at time $t$ as $\Delta t$ approaches zero. The direction of the instantaneous acceleration $\vec { a } $ is the limiting direction of the vector in velocity $\Delta v$.<br/><br/><br/>A particle is moving along a straight line with $10\ m{ s }^{ -1 }$. It takes a U-turn in $5\ s$ and continues to move along with the same velocity $10\ m{ s }^{ -1 }$. Find the magnitude of average acceleration during turning.<br/>

Question 9 :
A particle is projected from suitable height from ground with velocity $\vec{u} = (8\hat{i} + 6\hat{j})$. Take y-axis along vertical and x-axis along horizontal. At what time velocity is perpendicular to initial velocity? $(g = 10m/s^2)$

Question 10 :
A stone is dropped from the top of a tower and one second later, a second stone is thrown vertically downward with a velocity $\displaystyle 20 m/s$.The second stone will overtake the first after travelling a distance of (g= $\displaystyle 10 m/s^{2}$):<br/>

Question 11 :
A person stands on a weighing machine kept on the floor of an elevator, suppose the cable breaks, then&#160;the weighing machine will give a reading equal to&#160;

Question 14 :
A body is heated. What is the effect on its relative density?

Question 15 :
An empty tin container with its mouth closed has an average density equal to that of liquid. The container is taken 2 m below the surface of the liquid and Is left there. then the:

Question 16 :
The weight of any person on the moon is about $\dfrac{1}{6}$ times that on the&#160;earth. He can lift a mass of $15 &#160;kg$ on the earth. What will be the maximum&#160;mass, which can be lifted by the same force applied by the person on the&#160;moon?<br/>

Question 17 :
Assertion: The value of acceleration due to gravity does not depend the mass of the body Reason: Acceleration due to gravity is a constant quantity.

Question 18 :
Assume that the Earth goes round the sun in a circular orbit with a constant speed of $30 km/s$<br/>

Question 19 :
Consider two solid uniform spherical objects of the same density $\rho$. One has radius $R$ and the other has radius $2R$. They are in outer space where the gravitational fields from other objects are negligible. If they are arranged with their surface touching, what is the contact force between the objects due to their traditional attraction?<br>

Question 20 :
If the mass of a planet is $10\%$ less than that of the earth and the radius is $20\%$ greater than that of the earth, the acceleration due to gravity on the planet will be.

Question 25 :
Find the energy in kWh consumed in 10 hours by four devices of power 500 W each.<br/>

Question 27 :
During the journey of space ship from earth to moonand back, the maximum fuel is consumed

Question 28 :
Moon is a satellite of the Earth, but weightlessness is&#160;not experienced at the surface of the Moon because

Question 30 :
A body of mass $m$ is taken from earth's surface to the height equal to the radius of earth, the change in potential energy will be of

Question 31 :
Let $V$ and $E$ denote the gravitational potential and gravitational field at a point, respectively. It is possible to have<br>

Question 32 :
What is the equation of motion for the rocket, if $m$ is the mass of the rocket at a givenmoment, $\vec{w}$ is its acceleration, and $\vec{F}$ is the external force.

Question 33 :
A sound signal of $128$ vibrations per second has a wavelength of $2.7 m$. Calculate the speed with which wave travels.&#160;

Question 34 :
<br/>State whether given statement is True or False :<br/>Sound travels faster in vacuum than in air.

Question 36 :
<p>Three different vibrating bodies produce three types of sounds X, Y and Z. Sounds X and Y cannot be heared by a man having normal range of hearing but sound Z can be heard easily. The sound X is used in for monitoring nuclear reactor.The sound similar to that which is produced during an earthquake before the main shock wave is generated. What type of sounds are (i) X (ii) Y, and (iii) Z?</p>

Question 37 :
A sonar device on a submarine send out a signal and receives an echo $5 sec$ later. Calculate the speed of sound in water, if the distance of object from the submarine is $3625 m$.

Question 38 :
In a meeting hall which is initially half filled with&#160;participants after some time it becomes full to&#160;capacity, then the clarity of speech<br/>

Question 39 :
Frequency of vibration of a particle is 10 Hz. If the amplitude of vibration is doubled, what will be the change in frequency of vibration

Question 40 :
A pendulum has a frequency of 5 vibrations per&#160;second. An observer starts the pendulum and fire&#160;a gun simultaneously. He hears echo from the cliff&#160;after 8 vibrations of the pendulum. If the velocity of sound in air is 340 &#160;$ms^{-1}$, find the distance between the cliff and the observer :<br/>

Question 41 :
A rod of length one meter is rigidly clamped at its midpoint. &#10;Longitudinal stationary waves are set up in such a manner that there are&#10; two nodes on either side from its midpoint. The amplitude of anti-node &#10;is 2 micrometer. What is the frequency of the rod if Young's modulus of the rod is $2\times 10^{11}N/m^{2}$&#160;and the density of rod is $8000 kg/m^{3}$?

Question 42 :
'The action and reaction are equal in magnitude'. Is this statement true and which law is related with it?

Question 46 :
A particle moves in the $xy-plane$ under the action of a force $F$ such that the components of its linear momentum $p$ at any time $t$ are $p_{x} = 2\cos t, p_{y} = 2\sin t$. The angle between $F$ and $p$ at time $t$ is

Question 47 :
A particle in equilibrium is subjected tofour forces: $\displaystyle F_{1}= -10\hat k, F_{2} = u \left( \frac{4}{13}\hat i-\frac{12}{13}\hat j+\frac{3}{13}\hat k \right),F_{3}=v \left( -\frac{4}{13}\hat i-\frac{12}{13}\hat j+\frac{3}{13}\hat k \right)$ and $F_{4}=w (\cos \theta\hat i + \sin \theta\hat j)$Then:<br>