Q. No.For the path wxyz in a conservative field, the amount of work done in carrying a body from w to x and from x to y and from y to z are 2 J. 4 J and 6 J respectively. The work done in carrying the body from w to z will be
(1) 12 J
(2) 2 J
(3) 4 J
(4) 6
20 J of work is done to increase the length of a light spring by 1 cm from its natural length. Work done in increasing its length further by 1 cm is:
(1) 20 J
(2) 40 J
(3) 30 J
(4) 60 J
The work-energy theorem is the scalar form of Newton's
(1) The first law of motion
(2) The second law of motion
(3) Third law of motion
(4) All of these
A pendulum bob is made to move along a vertical circle such that it passes the highest point with critical speed. The ratio of centripetal and tangential acceleration when the string becomes horizontal is
(1) 1: 3
(2) 3: 1
(3) 1: 9
(4) 9: 1
A block of mass m is given a speed v when the spring of constant k is in its natural length as shown in the figure. The remaining kinetic energy of the block when spring is compressed by half of the maximum compression is:
(1) 25%
(2) 50%
(3) 75%
(4) Any value of less than 50%
A body of mass m moving at a certain speed suffers a perfectly inelastic collision with a body of mass M at rest. The ratio of the final kinetic energy of the system to the initial kinetic energy will be:
| 1. | \(m \over {m + M}\) | 2. | \(M \over {m + M}\) |
| 3. | \({m + M} \over m\) | 4. | \({m + M} \over M\) |
A constant force is applied on a body of mass 2 kg to give it a displacement . Work done by agent applying the force up to time t = 3 s is
(1) 3 J
(2) 9 J
(3) 18 J
(4) 2 J
A particle of mass 10 kg is moving with a velocity of m/s, where x is displacement. The work done by net force during the displacement of the particle from x = 4 m to x = 9 m is:
(1) 1250 J
(2) 1000
(3) 3500 J
(4) 2500 J
1. \(\sqrt{2m^2L(g\sin\theta)^3}\)
2. \(\frac{2}{3}Lg^2\sin\theta\)
3. \(\sqrt{\frac{2}{3}m^2Lg^3}\)
4. \(mg\sqrt{2gL\sin\theta}\)
Which of the following statement is correct regarding potential energy?
(1) Change in potential energy depends upon reference point.
(2) Potential energy does not depend upon reference point.
(3) Potential energy can be defined for any field.
(4) Change in potential energy of any particle is equal to work done by external force for moving the particle in equilibrium in a conservative field.
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