Gravitational Potential
PHXI08:GRAVITATION

359884 The gravitational field in a region is given by:
\(\vec E = (5\;N/kg)\widehat i + (12\;N/kg)\widehat j\)
If the potential at the origin is taken to be zero, Then the ratio of the potential at the points \((12\;m,\,0)\) and \((0.5\;m)\) is :

1 Zero
2 1
3 \(\dfrac{144}{25}\)
4 \(\dfrac{25}{144}\)
PHXI08:GRAVITATION

359885 In some region, the gravitational field is zero. Then gravitational potential at that region

1 Must be zero
2 Can not be zero
3 Must be constant
4 Continuously varies
PHXI08:GRAVITATION

359886 If \(W_{1}, W_{2}\) and \(W_{3}\) represent the work done in moving a particle from \(A\) and \(B\) along three different paths 1, 2 and 3, respectively (As shown in the figure) in the gravitational field of a point mass \(m\), find the correct relation
between \(W_{1}, W_{2}\) and \(W_{3}\).
supporting img

1 \(W_{1}>W_{2}>W_{3}\)
2 \(W_{1}=W_{2}=W_{3}\)
3 \(W_{1} < W_{2} < W_{3}\)
4 \(W_{2}>W_{1}>W_{3}\)
PHXI08:GRAVITATION

359887 If the gravitational field in the space is given as \(\left(-\dfrac{K}{r^{2}}\right)\). Taking the reference point to be at \(r = 2\;cm\) with gravitational potential \(V = 10\;J{\rm{/}}kg\). Find the gravitational potential at \(r = 3\;cm\) in SI unit (Given, that \(K = 6\,J\;cm/kg\))

1 11
2 10
3 12
4 9
PHXI08:GRAVITATION

359884 The gravitational field in a region is given by:
\(\vec E = (5\;N/kg)\widehat i + (12\;N/kg)\widehat j\)
If the potential at the origin is taken to be zero, Then the ratio of the potential at the points \((12\;m,\,0)\) and \((0.5\;m)\) is :

1 Zero
2 1
3 \(\dfrac{144}{25}\)
4 \(\dfrac{25}{144}\)
PHXI08:GRAVITATION

359885 In some region, the gravitational field is zero. Then gravitational potential at that region

1 Must be zero
2 Can not be zero
3 Must be constant
4 Continuously varies
PHXI08:GRAVITATION

359886 If \(W_{1}, W_{2}\) and \(W_{3}\) represent the work done in moving a particle from \(A\) and \(B\) along three different paths 1, 2 and 3, respectively (As shown in the figure) in the gravitational field of a point mass \(m\), find the correct relation
between \(W_{1}, W_{2}\) and \(W_{3}\).
supporting img

1 \(W_{1}>W_{2}>W_{3}\)
2 \(W_{1}=W_{2}=W_{3}\)
3 \(W_{1} < W_{2} < W_{3}\)
4 \(W_{2}>W_{1}>W_{3}\)
PHXI08:GRAVITATION

359887 If the gravitational field in the space is given as \(\left(-\dfrac{K}{r^{2}}\right)\). Taking the reference point to be at \(r = 2\;cm\) with gravitational potential \(V = 10\;J{\rm{/}}kg\). Find the gravitational potential at \(r = 3\;cm\) in SI unit (Given, that \(K = 6\,J\;cm/kg\))

1 11
2 10
3 12
4 9
PHXI08:GRAVITATION

359884 The gravitational field in a region is given by:
\(\vec E = (5\;N/kg)\widehat i + (12\;N/kg)\widehat j\)
If the potential at the origin is taken to be zero, Then the ratio of the potential at the points \((12\;m,\,0)\) and \((0.5\;m)\) is :

1 Zero
2 1
3 \(\dfrac{144}{25}\)
4 \(\dfrac{25}{144}\)
PHXI08:GRAVITATION

359885 In some region, the gravitational field is zero. Then gravitational potential at that region

1 Must be zero
2 Can not be zero
3 Must be constant
4 Continuously varies
PHXI08:GRAVITATION

359886 If \(W_{1}, W_{2}\) and \(W_{3}\) represent the work done in moving a particle from \(A\) and \(B\) along three different paths 1, 2 and 3, respectively (As shown in the figure) in the gravitational field of a point mass \(m\), find the correct relation
between \(W_{1}, W_{2}\) and \(W_{3}\).
supporting img

1 \(W_{1}>W_{2}>W_{3}\)
2 \(W_{1}=W_{2}=W_{3}\)
3 \(W_{1} < W_{2} < W_{3}\)
4 \(W_{2}>W_{1}>W_{3}\)
PHXI08:GRAVITATION

359887 If the gravitational field in the space is given as \(\left(-\dfrac{K}{r^{2}}\right)\). Taking the reference point to be at \(r = 2\;cm\) with gravitational potential \(V = 10\;J{\rm{/}}kg\). Find the gravitational potential at \(r = 3\;cm\) in SI unit (Given, that \(K = 6\,J\;cm/kg\))

1 11
2 10
3 12
4 9
PHXI08:GRAVITATION

359884 The gravitational field in a region is given by:
\(\vec E = (5\;N/kg)\widehat i + (12\;N/kg)\widehat j\)
If the potential at the origin is taken to be zero, Then the ratio of the potential at the points \((12\;m,\,0)\) and \((0.5\;m)\) is :

1 Zero
2 1
3 \(\dfrac{144}{25}\)
4 \(\dfrac{25}{144}\)
PHXI08:GRAVITATION

359885 In some region, the gravitational field is zero. Then gravitational potential at that region

1 Must be zero
2 Can not be zero
3 Must be constant
4 Continuously varies
PHXI08:GRAVITATION

359886 If \(W_{1}, W_{2}\) and \(W_{3}\) represent the work done in moving a particle from \(A\) and \(B\) along three different paths 1, 2 and 3, respectively (As shown in the figure) in the gravitational field of a point mass \(m\), find the correct relation
between \(W_{1}, W_{2}\) and \(W_{3}\).
supporting img

1 \(W_{1}>W_{2}>W_{3}\)
2 \(W_{1}=W_{2}=W_{3}\)
3 \(W_{1} < W_{2} < W_{3}\)
4 \(W_{2}>W_{1}>W_{3}\)
PHXI08:GRAVITATION

359887 If the gravitational field in the space is given as \(\left(-\dfrac{K}{r^{2}}\right)\). Taking the reference point to be at \(r = 2\;cm\) with gravitational potential \(V = 10\;J{\rm{/}}kg\). Find the gravitational potential at \(r = 3\;cm\) in SI unit (Given, that \(K = 6\,J\;cm/kg\))

1 11
2 10
3 12
4 9