359888
Assertion : The principle of superposition is not valid for gravitational forces. Reason : Gravitational force is a conservative force.
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:
Gravitational forces are conservative forces. The total gravitational force on a particle due to other surrounding particles is the vector sum of the individual forces. So option (4) is correct.
PHXI08:GRAVITATION
359889
A rocket of mass \(M\) is launched vertically from the surface of the earth with an initial speed \(V\). Assuming the radius of the earth to be \(R\) and negligible air resistance, the maximum height attained by the rocket above the surface of the earth is
359890
The gravitational field in a region is given by \(\vec g = 5\;N{\rm{/}}kg\,\widehat i + 12\;N{\rm{/}}kg\,\widehat j\). The change in the gravitational potential energy of a particle of mass \(1\,kg\) when it is taken from the origin to a point (\(7\;m, - 3\;m\)) is:
359891
A satellite of mass \(m\) is orbiting the earth (of radius \(R\) ) at a height \(h\) from its surface. The total energy of the satellite in terms of \(g_{o}\), the value of acceleration due to gravity at the earth's surface is
1 \(m g_{o} R^{2}\)
2 \(-\dfrac{m g_{o} R^{2}}{2(R+h)}\)
3 \(\dfrac{2 m g_{o} R^{2}}{R+h}\)
4 \(-\dfrac{2 m g_{o} R^{2}}{R+h}\)
Explanation:
Total energy \(=-\dfrac{G M m}{2(R+h)}\) \(=-\dfrac{G M}{2 R^{2}} \dfrac{R^{2} m}{(R+h)}=-\dfrac{g_{o} m R^{2}}{2(R+h)}\)
359888
Assertion : The principle of superposition is not valid for gravitational forces. Reason : Gravitational force is a conservative force.
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:
Gravitational forces are conservative forces. The total gravitational force on a particle due to other surrounding particles is the vector sum of the individual forces. So option (4) is correct.
PHXI08:GRAVITATION
359889
A rocket of mass \(M\) is launched vertically from the surface of the earth with an initial speed \(V\). Assuming the radius of the earth to be \(R\) and negligible air resistance, the maximum height attained by the rocket above the surface of the earth is
359890
The gravitational field in a region is given by \(\vec g = 5\;N{\rm{/}}kg\,\widehat i + 12\;N{\rm{/}}kg\,\widehat j\). The change in the gravitational potential energy of a particle of mass \(1\,kg\) when it is taken from the origin to a point (\(7\;m, - 3\;m\)) is:
359891
A satellite of mass \(m\) is orbiting the earth (of radius \(R\) ) at a height \(h\) from its surface. The total energy of the satellite in terms of \(g_{o}\), the value of acceleration due to gravity at the earth's surface is
1 \(m g_{o} R^{2}\)
2 \(-\dfrac{m g_{o} R^{2}}{2(R+h)}\)
3 \(\dfrac{2 m g_{o} R^{2}}{R+h}\)
4 \(-\dfrac{2 m g_{o} R^{2}}{R+h}\)
Explanation:
Total energy \(=-\dfrac{G M m}{2(R+h)}\) \(=-\dfrac{G M}{2 R^{2}} \dfrac{R^{2} m}{(R+h)}=-\dfrac{g_{o} m R^{2}}{2(R+h)}\)
359888
Assertion : The principle of superposition is not valid for gravitational forces. Reason : Gravitational force is a conservative force.
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:
Gravitational forces are conservative forces. The total gravitational force on a particle due to other surrounding particles is the vector sum of the individual forces. So option (4) is correct.
PHXI08:GRAVITATION
359889
A rocket of mass \(M\) is launched vertically from the surface of the earth with an initial speed \(V\). Assuming the radius of the earth to be \(R\) and negligible air resistance, the maximum height attained by the rocket above the surface of the earth is
359890
The gravitational field in a region is given by \(\vec g = 5\;N{\rm{/}}kg\,\widehat i + 12\;N{\rm{/}}kg\,\widehat j\). The change in the gravitational potential energy of a particle of mass \(1\,kg\) when it is taken from the origin to a point (\(7\;m, - 3\;m\)) is:
359891
A satellite of mass \(m\) is orbiting the earth (of radius \(R\) ) at a height \(h\) from its surface. The total energy of the satellite in terms of \(g_{o}\), the value of acceleration due to gravity at the earth's surface is
1 \(m g_{o} R^{2}\)
2 \(-\dfrac{m g_{o} R^{2}}{2(R+h)}\)
3 \(\dfrac{2 m g_{o} R^{2}}{R+h}\)
4 \(-\dfrac{2 m g_{o} R^{2}}{R+h}\)
Explanation:
Total energy \(=-\dfrac{G M m}{2(R+h)}\) \(=-\dfrac{G M}{2 R^{2}} \dfrac{R^{2} m}{(R+h)}=-\dfrac{g_{o} m R^{2}}{2(R+h)}\)
359888
Assertion : The principle of superposition is not valid for gravitational forces. Reason : Gravitational force is a conservative force.
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:
Gravitational forces are conservative forces. The total gravitational force on a particle due to other surrounding particles is the vector sum of the individual forces. So option (4) is correct.
PHXI08:GRAVITATION
359889
A rocket of mass \(M\) is launched vertically from the surface of the earth with an initial speed \(V\). Assuming the radius of the earth to be \(R\) and negligible air resistance, the maximum height attained by the rocket above the surface of the earth is
359890
The gravitational field in a region is given by \(\vec g = 5\;N{\rm{/}}kg\,\widehat i + 12\;N{\rm{/}}kg\,\widehat j\). The change in the gravitational potential energy of a particle of mass \(1\,kg\) when it is taken from the origin to a point (\(7\;m, - 3\;m\)) is:
359891
A satellite of mass \(m\) is orbiting the earth (of radius \(R\) ) at a height \(h\) from its surface. The total energy of the satellite in terms of \(g_{o}\), the value of acceleration due to gravity at the earth's surface is
1 \(m g_{o} R^{2}\)
2 \(-\dfrac{m g_{o} R^{2}}{2(R+h)}\)
3 \(\dfrac{2 m g_{o} R^{2}}{R+h}\)
4 \(-\dfrac{2 m g_{o} R^{2}}{R+h}\)
Explanation:
Total energy \(=-\dfrac{G M m}{2(R+h)}\) \(=-\dfrac{G M}{2 R^{2}} \dfrac{R^{2} m}{(R+h)}=-\dfrac{g_{o} m R^{2}}{2(R+h)}\)
