RBTS PAPER 3(PHYSICS)
3 RBTS PAPER

162594 A bullet of mass \(m\) moving with a velocity \(v_1\) strikes a suspended wooden block of mass \(M\) as shown in the figure and sticks to it. If the block rises to a height \(h\) the initial velocity of the bullet is -

1 \(\frac{m+M}{m} \sqrt{2 g h}\)
2 \(\sqrt{2 g h}\)
3 \(\frac{M+m}{M} \sqrt{2 g h}\)
4 \(\frac{m}{M+m} \sqrt{2 g h}\)
3 RBTS PAPER

162595 A pump motor is used to deliver water at a certain rate from a given pipe. To obtain twice as much water from the same pipe in the same time, power of the motor has to be increased to :

1 16 times
2 4 times
3 8 times
4 2 times
3 RBTS PAPER

162596 A mass of \(10 \mathrm{~g}\), moving horizontally with a velocity of \(100 \mathrm{~cm} / \mathrm{s}\), strikes the bob of a pendulum and sticks to it. The mass of the bob is also \(10 \mathrm{gm}\). The maximum height to which the system can be raised is \(\left(g=10 \mathrm{~m} / \mathrm{s}^2\right)\)

1 Zero
2 \(5 \mathrm{~m}\)
3 \(2.5 \mathrm{~m}\)
4 \(1.25 \mathrm{~m}\)
3 RBTS PAPER

162597 If \(\vec{F}=-k(x \hat{i}+y \hat{j})\) Find work done from \((0,0)\) to (a, a):

1 \(\mathrm{ka}^2\)
2 \(-\mathrm{ka}^2\)
3 \(2 \mathrm{ka}^2\)
4 \(\mathrm{ka}\)
3 RBTS PAPER

162598 A particle moves in a potential region given by \(U=8 x^2-4 x+400 J\). Its state of equilibrium will be

1 \(x=25 m\)
2 \(x=0.25 \mathrm{~m}\)
3 \(x=0.025 \mathrm{~m}\)
4 \(x=2.5 \mathrm{~m}\)
3 RBTS PAPER

162594 A bullet of mass \(m\) moving with a velocity \(v_1\) strikes a suspended wooden block of mass \(M\) as shown in the figure and sticks to it. If the block rises to a height \(h\) the initial velocity of the bullet is -

1 \(\frac{m+M}{m} \sqrt{2 g h}\)
2 \(\sqrt{2 g h}\)
3 \(\frac{M+m}{M} \sqrt{2 g h}\)
4 \(\frac{m}{M+m} \sqrt{2 g h}\)
3 RBTS PAPER

162595 A pump motor is used to deliver water at a certain rate from a given pipe. To obtain twice as much water from the same pipe in the same time, power of the motor has to be increased to :

1 16 times
2 4 times
3 8 times
4 2 times
3 RBTS PAPER

162596 A mass of \(10 \mathrm{~g}\), moving horizontally with a velocity of \(100 \mathrm{~cm} / \mathrm{s}\), strikes the bob of a pendulum and sticks to it. The mass of the bob is also \(10 \mathrm{gm}\). The maximum height to which the system can be raised is \(\left(g=10 \mathrm{~m} / \mathrm{s}^2\right)\)

1 Zero
2 \(5 \mathrm{~m}\)
3 \(2.5 \mathrm{~m}\)
4 \(1.25 \mathrm{~m}\)
3 RBTS PAPER

162597 If \(\vec{F}=-k(x \hat{i}+y \hat{j})\) Find work done from \((0,0)\) to (a, a):

1 \(\mathrm{ka}^2\)
2 \(-\mathrm{ka}^2\)
3 \(2 \mathrm{ka}^2\)
4 \(\mathrm{ka}\)
3 RBTS PAPER

162598 A particle moves in a potential region given by \(U=8 x^2-4 x+400 J\). Its state of equilibrium will be

1 \(x=25 m\)
2 \(x=0.25 \mathrm{~m}\)
3 \(x=0.025 \mathrm{~m}\)
4 \(x=2.5 \mathrm{~m}\)
3 RBTS PAPER

162594 A bullet of mass \(m\) moving with a velocity \(v_1\) strikes a suspended wooden block of mass \(M\) as shown in the figure and sticks to it. If the block rises to a height \(h\) the initial velocity of the bullet is -

1 \(\frac{m+M}{m} \sqrt{2 g h}\)
2 \(\sqrt{2 g h}\)
3 \(\frac{M+m}{M} \sqrt{2 g h}\)
4 \(\frac{m}{M+m} \sqrt{2 g h}\)
3 RBTS PAPER

162595 A pump motor is used to deliver water at a certain rate from a given pipe. To obtain twice as much water from the same pipe in the same time, power of the motor has to be increased to :

1 16 times
2 4 times
3 8 times
4 2 times
3 RBTS PAPER

162596 A mass of \(10 \mathrm{~g}\), moving horizontally with a velocity of \(100 \mathrm{~cm} / \mathrm{s}\), strikes the bob of a pendulum and sticks to it. The mass of the bob is also \(10 \mathrm{gm}\). The maximum height to which the system can be raised is \(\left(g=10 \mathrm{~m} / \mathrm{s}^2\right)\)

1 Zero
2 \(5 \mathrm{~m}\)
3 \(2.5 \mathrm{~m}\)
4 \(1.25 \mathrm{~m}\)
3 RBTS PAPER

162597 If \(\vec{F}=-k(x \hat{i}+y \hat{j})\) Find work done from \((0,0)\) to (a, a):

1 \(\mathrm{ka}^2\)
2 \(-\mathrm{ka}^2\)
3 \(2 \mathrm{ka}^2\)
4 \(\mathrm{ka}\)
3 RBTS PAPER

162598 A particle moves in a potential region given by \(U=8 x^2-4 x+400 J\). Its state of equilibrium will be

1 \(x=25 m\)
2 \(x=0.25 \mathrm{~m}\)
3 \(x=0.025 \mathrm{~m}\)
4 \(x=2.5 \mathrm{~m}\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
3 RBTS PAPER

162594 A bullet of mass \(m\) moving with a velocity \(v_1\) strikes a suspended wooden block of mass \(M\) as shown in the figure and sticks to it. If the block rises to a height \(h\) the initial velocity of the bullet is -

1 \(\frac{m+M}{m} \sqrt{2 g h}\)
2 \(\sqrt{2 g h}\)
3 \(\frac{M+m}{M} \sqrt{2 g h}\)
4 \(\frac{m}{M+m} \sqrt{2 g h}\)
3 RBTS PAPER

162595 A pump motor is used to deliver water at a certain rate from a given pipe. To obtain twice as much water from the same pipe in the same time, power of the motor has to be increased to :

1 16 times
2 4 times
3 8 times
4 2 times
3 RBTS PAPER

162596 A mass of \(10 \mathrm{~g}\), moving horizontally with a velocity of \(100 \mathrm{~cm} / \mathrm{s}\), strikes the bob of a pendulum and sticks to it. The mass of the bob is also \(10 \mathrm{gm}\). The maximum height to which the system can be raised is \(\left(g=10 \mathrm{~m} / \mathrm{s}^2\right)\)

1 Zero
2 \(5 \mathrm{~m}\)
3 \(2.5 \mathrm{~m}\)
4 \(1.25 \mathrm{~m}\)
3 RBTS PAPER

162597 If \(\vec{F}=-k(x \hat{i}+y \hat{j})\) Find work done from \((0,0)\) to (a, a):

1 \(\mathrm{ka}^2\)
2 \(-\mathrm{ka}^2\)
3 \(2 \mathrm{ka}^2\)
4 \(\mathrm{ka}\)
3 RBTS PAPER

162598 A particle moves in a potential region given by \(U=8 x^2-4 x+400 J\). Its state of equilibrium will be

1 \(x=25 m\)
2 \(x=0.25 \mathrm{~m}\)
3 \(x=0.025 \mathrm{~m}\)
4 \(x=2.5 \mathrm{~m}\)
3 RBTS PAPER

162594 A bullet of mass \(m\) moving with a velocity \(v_1\) strikes a suspended wooden block of mass \(M\) as shown in the figure and sticks to it. If the block rises to a height \(h\) the initial velocity of the bullet is -

1 \(\frac{m+M}{m} \sqrt{2 g h}\)
2 \(\sqrt{2 g h}\)
3 \(\frac{M+m}{M} \sqrt{2 g h}\)
4 \(\frac{m}{M+m} \sqrt{2 g h}\)
3 RBTS PAPER

162595 A pump motor is used to deliver water at a certain rate from a given pipe. To obtain twice as much water from the same pipe in the same time, power of the motor has to be increased to :

1 16 times
2 4 times
3 8 times
4 2 times
3 RBTS PAPER

162596 A mass of \(10 \mathrm{~g}\), moving horizontally with a velocity of \(100 \mathrm{~cm} / \mathrm{s}\), strikes the bob of a pendulum and sticks to it. The mass of the bob is also \(10 \mathrm{gm}\). The maximum height to which the system can be raised is \(\left(g=10 \mathrm{~m} / \mathrm{s}^2\right)\)

1 Zero
2 \(5 \mathrm{~m}\)
3 \(2.5 \mathrm{~m}\)
4 \(1.25 \mathrm{~m}\)
3 RBTS PAPER

162597 If \(\vec{F}=-k(x \hat{i}+y \hat{j})\) Find work done from \((0,0)\) to (a, a):

1 \(\mathrm{ka}^2\)
2 \(-\mathrm{ka}^2\)
3 \(2 \mathrm{ka}^2\)
4 \(\mathrm{ka}\)
3 RBTS PAPER

162598 A particle moves in a potential region given by \(U=8 x^2-4 x+400 J\). Its state of equilibrium will be

1 \(x=25 m\)
2 \(x=0.25 \mathrm{~m}\)
3 \(x=0.025 \mathrm{~m}\)
4 \(x=2.5 \mathrm{~m}\)