365788
Assertion : The centre of gravity of a body coincides with its centre of mass only if the gravitational field does not vary from one part of the body to the other. Reason : Centre of gravity is independent of the gravitational field.
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.
Explanation:
Assertion is true for system of uniform mass density. The center of gravity of a body coincides with its center of mass only if the gravitational field does not vary from one part of the body to the other. But, clearly, centre of gravity is associated only when there is gravitational field. \(\Rightarrow\) Reason is false So correct option is (3).
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
365789
Statement A : The centre of mass of a body may lie where there is no mass. Statement B : The centre of mass has nothing to do with the mass.
1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
Explanation:
Centre of mass is related to the distribution of mass of the body.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
365790
Assertion : The centre of mass of a proton and an electron remains at rest if they are initially at rest relative to each other. Reason : The centre of mass remain at rest, if no external force is applied on the system.
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.
Explanation:
The centre of mass of a proton and an electron will remain at rest if they are initially at rest relative to each other. Coulomb attractive force between them is 'internal force' and is due to charges. So centre of mass remains at rest. So correct option is (1).
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
365791
If the external forces acting on a system have a zero resultant, the centre of mass
365788
Assertion : The centre of gravity of a body coincides with its centre of mass only if the gravitational field does not vary from one part of the body to the other. Reason : Centre of gravity is independent of the gravitational field.
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.
Explanation:
Assertion is true for system of uniform mass density. The center of gravity of a body coincides with its center of mass only if the gravitational field does not vary from one part of the body to the other. But, clearly, centre of gravity is associated only when there is gravitational field. \(\Rightarrow\) Reason is false So correct option is (3).
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
365789
Statement A : The centre of mass of a body may lie where there is no mass. Statement B : The centre of mass has nothing to do with the mass.
1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
Explanation:
Centre of mass is related to the distribution of mass of the body.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
365790
Assertion : The centre of mass of a proton and an electron remains at rest if they are initially at rest relative to each other. Reason : The centre of mass remain at rest, if no external force is applied on the system.
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.
Explanation:
The centre of mass of a proton and an electron will remain at rest if they are initially at rest relative to each other. Coulomb attractive force between them is 'internal force' and is due to charges. So centre of mass remains at rest. So correct option is (1).
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
365791
If the external forces acting on a system have a zero resultant, the centre of mass
365788
Assertion : The centre of gravity of a body coincides with its centre of mass only if the gravitational field does not vary from one part of the body to the other. Reason : Centre of gravity is independent of the gravitational field.
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.
Explanation:
Assertion is true for system of uniform mass density. The center of gravity of a body coincides with its center of mass only if the gravitational field does not vary from one part of the body to the other. But, clearly, centre of gravity is associated only when there is gravitational field. \(\Rightarrow\) Reason is false So correct option is (3).
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
365789
Statement A : The centre of mass of a body may lie where there is no mass. Statement B : The centre of mass has nothing to do with the mass.
1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
Explanation:
Centre of mass is related to the distribution of mass of the body.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
365790
Assertion : The centre of mass of a proton and an electron remains at rest if they are initially at rest relative to each other. Reason : The centre of mass remain at rest, if no external force is applied on the system.
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.
Explanation:
The centre of mass of a proton and an electron will remain at rest if they are initially at rest relative to each other. Coulomb attractive force between them is 'internal force' and is due to charges. So centre of mass remains at rest. So correct option is (1).
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
365791
If the external forces acting on a system have a zero resultant, the centre of mass
365788
Assertion : The centre of gravity of a body coincides with its centre of mass only if the gravitational field does not vary from one part of the body to the other. Reason : Centre of gravity is independent of the gravitational field.
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.
Explanation:
Assertion is true for system of uniform mass density. The center of gravity of a body coincides with its center of mass only if the gravitational field does not vary from one part of the body to the other. But, clearly, centre of gravity is associated only when there is gravitational field. \(\Rightarrow\) Reason is false So correct option is (3).
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
365789
Statement A : The centre of mass of a body may lie where there is no mass. Statement B : The centre of mass has nothing to do with the mass.
1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
Explanation:
Centre of mass is related to the distribution of mass of the body.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
365790
Assertion : The centre of mass of a proton and an electron remains at rest if they are initially at rest relative to each other. Reason : The centre of mass remain at rest, if no external force is applied on the system.
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.
Explanation:
The centre of mass of a proton and an electron will remain at rest if they are initially at rest relative to each other. Coulomb attractive force between them is 'internal force' and is due to charges. So centre of mass remains at rest. So correct option is (1).
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
365791
If the external forces acting on a system have a zero resultant, the centre of mass