A particle is projected at a time \(t=0\) with a speed \(v_{0}\) and at an angle with the horizontal in a uniform gravitational field. Then which of the following graph represents power delivered by gravitational force against time \((t)\)?

1. 2.
3. 4.

Subtopic:  Power |
 50%
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Two balls having different masses are moving towards each other with speed 30 m/s and 20 m/s as shown in figure (i). Their velocities after collision become 20 m/s and 30 m/s as shown in the figure (ii), then the coefficient of restitution is:

(1)  1

(2)  0.5

(3)  0.4

(4)  0.2

Subtopic:  Collisions |
 60%
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Which of the following is not correct?

(1)  Force of friction is non-conservative.

(2)  If R is the horizontal range of an oblique the projectile, then the kinetic energy of the projectile is minimum after covering a horizontal the distance of R/2 considering air resistance.

(3)  Viscous force is a non-conservative force.

(4)  Work done in stretching a spring successively by length x from natural length are in the ratio 1:3.

Subtopic:  Concept of Work |
 51%
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One sphere collides with another sphere of double its mass. While heavier mass was at rest initially. The ratio of their respective speeds after the collision will be (Coefficient of restitution = e)

1.  1 - 2e1 - e

2.  1 - 2e1 + e

3.  1 - e1  + 2e

4.  1 + 2e1 - e

Subtopic:  Collisions |
 68%
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A particle of mass m1 makes an elastic, one-dimensional collision with another stationary particle of mass m2. The fraction of kinetic energy of m1 carried away by m2 is

1.  m12m22

2.  m12m22-1

3.  m1 - m2m1 + m22

4.  4m1m2m1 + m22

Subtopic:  Collisions |
 74%
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The potential energy \(\mathrm{U}\) of a system is given by U= A - Bx2 (where \(\mathrm{x}\) is the position of its particle and \(\mathrm{A},\) \(\mathrm{B}\) are constants). The magnitude of the force acting on the particle is:
1. constant

2. proportional to \(\mathrm{x}\)

3. proportional to x2

4. proportional to 1x

Subtopic:  Potential Energy: Relation with Force |
 84%
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A person-1 stands on an elevator moving with an initial velocity of 'v' & upward acceleration 'a'. Another person-2 of the same mass m as person-1 is standing on the same elevator. The work done by the lift on the person-1 as observed by person-2 in time 't' is:

1.  mg + avt + 12at2

2.  -mgvt + 12at2

3.  0

4.  mavt + 12at2

Subtopic:  Work done by constant force |
 78%
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If a body of mass 2 kg is moved in the conservative field from point A to B in three different paths, then work done will be

                               

(1)  WI < WII < WIII

(2)  WI > WII > WIII

(3)  WI = WII = WIII

(4)  WI > WII = WIII

Subtopic:  Potential Energy: Relation with Force |
 88%
From NCERT
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Two pendulum bobs A and B of mass m and 2m respectively are simultaneously released from a height H above the lowest point, making an elastic collision at the lowest point. If after the first collision A and B rise to heights h1 and h2 respectively, then h1+2h2 is:

1.  3H

2.  H

3.  H3

4.  2H3

Subtopic:  Gravitational Potential Energy |
 59%
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Two particles moving initially in the same direction undergo a one-dimensional elastic collision. Their relative velocities before and after the collision are v1 and v2. Which of the following is not correct?

1.  v1 = v2

2.  v1 = -v2 only is the two are of equal mass

3.  v1.v2 = -v12

4.  v1.v2 = -v22

Subtopic:  Collisions |
 61%
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