Centre of Mass
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365805 Assertion :
The centre of mass of an electron and proton, when released moves faster towards proton.
Reason :
Torque is time rate of change of a parametre, called angular momentum.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365806 A small ball of mass \(m\) is projected with a minimum horizontal velocity \(v_{0}\) on a smooth wedge of mass \(M\) so that it will reach the highest point \(P\) of the wedge. If \(\dfrac{m}{M}=\dfrac{1}{4}\) and \(R=0.60 {~m}\), then find the value of \(v_{0}\). Take \(g=10 {~m} / {s}^{2}\).
supporting img

1 \(6\,m/s\)
2 \(2\,m/s\)
3 \(10\,m/s\)
4 \(4\,m/s\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365807 A child of mass 4 \(kg\) jumps from cart \(B\) to cart \(A\) and then immediately back to cart \(B\). The mass of each cart is 20 \(kg\) and they are initially at rest. In both the cases the child jumps at \(6 {~m} / {s}\) relative to the cart. If the cart moves along the same line with negligible friction with the final velocities of \(v_{B}\) and \(v_{A}\), respectively, find the ratio of \(6 v_{B}\) and \(5 v_{A}\).
supporting img

1 3
2 2
3 1
4 5
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365808 Find the velocity of centre of mass of the system shown in the figure.
supporting img

1 \(\left(\dfrac{2+2 \sqrt{3}}{3}\right) \hat{i}-\dfrac{2}{3} \hat{j}\)
2 \(4 \hat{i}\)
3 \(\left(\dfrac{2-2 \sqrt{3}}{3}\right) \hat{i}-\dfrac{2}{3} \hat{j}\)
4 \({\rm{None}}\,\,\,{\rm{of}}\,\,\,{\rm{these}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365805 Assertion :
The centre of mass of an electron and proton, when released moves faster towards proton.
Reason :
Torque is time rate of change of a parametre, called angular momentum.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365806 A small ball of mass \(m\) is projected with a minimum horizontal velocity \(v_{0}\) on a smooth wedge of mass \(M\) so that it will reach the highest point \(P\) of the wedge. If \(\dfrac{m}{M}=\dfrac{1}{4}\) and \(R=0.60 {~m}\), then find the value of \(v_{0}\). Take \(g=10 {~m} / {s}^{2}\).
supporting img

1 \(6\,m/s\)
2 \(2\,m/s\)
3 \(10\,m/s\)
4 \(4\,m/s\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365807 A child of mass 4 \(kg\) jumps from cart \(B\) to cart \(A\) and then immediately back to cart \(B\). The mass of each cart is 20 \(kg\) and they are initially at rest. In both the cases the child jumps at \(6 {~m} / {s}\) relative to the cart. If the cart moves along the same line with negligible friction with the final velocities of \(v_{B}\) and \(v_{A}\), respectively, find the ratio of \(6 v_{B}\) and \(5 v_{A}\).
supporting img

1 3
2 2
3 1
4 5
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365808 Find the velocity of centre of mass of the system shown in the figure.
supporting img

1 \(\left(\dfrac{2+2 \sqrt{3}}{3}\right) \hat{i}-\dfrac{2}{3} \hat{j}\)
2 \(4 \hat{i}\)
3 \(\left(\dfrac{2-2 \sqrt{3}}{3}\right) \hat{i}-\dfrac{2}{3} \hat{j}\)
4 \({\rm{None}}\,\,\,{\rm{of}}\,\,\,{\rm{these}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365805 Assertion :
The centre of mass of an electron and proton, when released moves faster towards proton.
Reason :
Torque is time rate of change of a parametre, called angular momentum.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365806 A small ball of mass \(m\) is projected with a minimum horizontal velocity \(v_{0}\) on a smooth wedge of mass \(M\) so that it will reach the highest point \(P\) of the wedge. If \(\dfrac{m}{M}=\dfrac{1}{4}\) and \(R=0.60 {~m}\), then find the value of \(v_{0}\). Take \(g=10 {~m} / {s}^{2}\).
supporting img

1 \(6\,m/s\)
2 \(2\,m/s\)
3 \(10\,m/s\)
4 \(4\,m/s\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365807 A child of mass 4 \(kg\) jumps from cart \(B\) to cart \(A\) and then immediately back to cart \(B\). The mass of each cart is 20 \(kg\) and they are initially at rest. In both the cases the child jumps at \(6 {~m} / {s}\) relative to the cart. If the cart moves along the same line with negligible friction with the final velocities of \(v_{B}\) and \(v_{A}\), respectively, find the ratio of \(6 v_{B}\) and \(5 v_{A}\).
supporting img

1 3
2 2
3 1
4 5
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365808 Find the velocity of centre of mass of the system shown in the figure.
supporting img

1 \(\left(\dfrac{2+2 \sqrt{3}}{3}\right) \hat{i}-\dfrac{2}{3} \hat{j}\)
2 \(4 \hat{i}\)
3 \(\left(\dfrac{2-2 \sqrt{3}}{3}\right) \hat{i}-\dfrac{2}{3} \hat{j}\)
4 \({\rm{None}}\,\,\,{\rm{of}}\,\,\,{\rm{these}}\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365805 Assertion :
The centre of mass of an electron and proton, when released moves faster towards proton.
Reason :
Torque is time rate of change of a parametre, called angular momentum.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365806 A small ball of mass \(m\) is projected with a minimum horizontal velocity \(v_{0}\) on a smooth wedge of mass \(M\) so that it will reach the highest point \(P\) of the wedge. If \(\dfrac{m}{M}=\dfrac{1}{4}\) and \(R=0.60 {~m}\), then find the value of \(v_{0}\). Take \(g=10 {~m} / {s}^{2}\).
supporting img

1 \(6\,m/s\)
2 \(2\,m/s\)
3 \(10\,m/s\)
4 \(4\,m/s\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365807 A child of mass 4 \(kg\) jumps from cart \(B\) to cart \(A\) and then immediately back to cart \(B\). The mass of each cart is 20 \(kg\) and they are initially at rest. In both the cases the child jumps at \(6 {~m} / {s}\) relative to the cart. If the cart moves along the same line with negligible friction with the final velocities of \(v_{B}\) and \(v_{A}\), respectively, find the ratio of \(6 v_{B}\) and \(5 v_{A}\).
supporting img

1 3
2 2
3 1
4 5
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365808 Find the velocity of centre of mass of the system shown in the figure.
supporting img

1 \(\left(\dfrac{2+2 \sqrt{3}}{3}\right) \hat{i}-\dfrac{2}{3} \hat{j}\)
2 \(4 \hat{i}\)
3 \(\left(\dfrac{2-2 \sqrt{3}}{3}\right) \hat{i}-\dfrac{2}{3} \hat{j}\)
4 \({\rm{None}}\,\,\,{\rm{of}}\,\,\,{\rm{these}}\)