Question 1 :
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 3 :
Which of the following books is not written by Werner Heisenberg?
Question 4 :
_____ suggested that the ships should be marked with load lines.<br>
Question 11 :
The radius of the sun is $7\times 10^8 m$ and its mass is $2\times 10^{30} kg$. What is the order of magnitude of density of the sun?
Question 12 :
$2 gm$ of $O_2$ at $27^o$C and $760\ mm$ of $Hg$ pressure has volume?
Question 13 :
The speed of light ($c$), gravitational constant ($G$) and Planck's constant ($h$) are taken as fundamental units in a system. The dimensions of time in this new system should be
Question 14 :
Using the expression $ 2\mathrm{d}\sin\theta=\lambda$, one calculates the values of $\mathrm{d}$ by measuring the corresponding angles $\theta$ in the range $\theta$ to $90^{\mathrm{o}}$. The wavelength $\lambda$ is exactly known and the error in $\theta$ is constant for all values of $\theta$. As $\theta$ increases from $0^{\mathrm{o}}$,<br/>
Question 15 :
Obtain a relation for the displacement of an object moving with a uniform acceleration in the interval between $4^{th}$ and $5^{th}$ seconds. Assume zero initial velocity.<br/>
Question 16 :
<br/>A body projected vertically up with a velocity 'u' attains a maximum height H. If it is thrown up with velocity 2u, it attains a maximum height of ___________.<br/>
Question 17 :
Two particles $P$ and $Q$ move in a straight line $AB$ towards each other. $P$ starts from $A$ with velocity $u_{1}$, and an acceleration $a_{1}$, $Q$ starts from $B$ with velocity $u_{2}$ and acceleration $a_{2}$.They pass each other at the midpoint of $AB$ and arrive at the other ends of $AB$ with equal <i></i>velocities
Question 18 :
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 19 :
Which one of the following is most probably not a case of uniform circular motion?
Question 20 :
At the top of the trajectory of a projectile, the acceleration is :
Question 21 :
AT the point of the trjectory of a projectile, the acceleration is then
Question 22 :
If the angle of projection is $60^0$, the equation of trajectory can be given by<br/>
Question 23 :
The horizontal and vertical displacements of a projectile are given as $x = at$ and $y = b t - c t ^ { 2 } .$ The velocity of projection is
Question 24 :
A motor of an engine is rotating about its axis with an angular velocity of $100$ rev/min . It comes to rest in $15$ s, after being switched off. Assuming constant angular deceleration, calculate the number of revolutions made by it before coming to rest.
Question 25 :
If a particle is thrown vertically upwards, then its velocity so that it covers same distance in 5th and 6th second would be
Question 26 :
Assertion: If $g= 10\ ms^{-2}$ then in projectile motion speed of particle in every second will change by $10\ ms^{-1}.$
Reason: Acceleration is nothing but rate of change of velocity.
Question 27 :
A force $\overrightarrow { F } =\alpha \hat { i } +3\hat { j } +6\hat { k } $ is acting at a point $\overrightarrow { r } = 2\hat { i } -6\hat { j } -12\hat { k } $ . The value of $\alpha $ for which angular momentum about origin is conversed is ?<br/>
Question 28 :
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 29 :
A block of mass 15 kg is placed on a long trolley The coefficient of friction between the block and trolley is 0. 18 The trolley accelerates with 0.5 m/$s ^ { 2 }$ for 20 s then what is the friction force
Question 30 :
A body of  weight 20 N is on a horizontal surface, minimum force applied to pull it when applied force makes an angle $60^0$ with horizontal (angle of friction a = $30^0$) is:
Question 31 :
A fruit hanging from the top branch of a tree possesses
Question 32 :
Assertion: KE is conserved at every instant of (elastic) collision.
Reason: No deformation of matter occurs in elastic collision.
Question 34 :
 A bullet of mass 20 gm is fired from a rifle of mass 20 kg with a muzzle velocity of $200\ ms^{-1}$. Find the velocity of recoil of the rifle.<br/>
Question 35 :
A bullet of mass m is fired in the horizontal direction with a velocity u. This bullet gets embedded in a bag of sand lying in a truck. If the mass of truck is M then the velocity of truck after the collision will be-<br>
Question 36 :
In a rocket, fuel burns at the rate of $1\ kg/s$. This fuel is ejected from the rocket with a velocity of $60\ km/s$. Force exerted on  the rocket in $N$ is:
Question 37 :
A skater of mass m standing on ice throws a stone of mass M with a velocity of V in a horizontal direction. The distance over which the skater will move back (the coefficient of friction between the skater and the ice is $\mu$) :<br>
Question 38 :
Two masses $M_1$ and $M_2$ at an infinite distance apart are initially at rest. They start interacting gravitionally. Find their velocity of approach when they are separated by a distance s: