Kepler’s Laws
PHXI08:GRAVITATION

359933 Assertion :
For the planets orbiting around the sun, angular speed, linear speed, \(K.E\) changes with time, but angular momentum remains constant.
Reason :
No torque is acting on the rotating planet. So its angular momentum is constant.

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.
PHXI08:GRAVITATION

359934 A particle of mass \(m\) is subjected to an attractive central force of magnitude \(\frac{k}{{{r^2}}},k\) being \(\mathrm{a}\) constant. If at instant when the particle is at an extreme position in its closed orbit, at a distance ' \(a\) ' from the centre of force, its speed is \(\sqrt {(k{\rm{/}}2ma)} ,\) if the distance of other extreme position is \(b\). The ratio of \(a / b\) is

1 1
2 9
3 5
4 3
PHXI08:GRAVITATION

359935 The earth moves around the sun in an elliptical orbit (as shown in figure). The ratio \(\frac{{OA}}{{OB}} = x.\) The ratio of the speed of the earth at \(B\) to that at \(A\) is found to be \(x^{N}\). The value of \(N\) is
![supporting img](https://image.cleverb.in/upload/2024/7/24/1721802642235-7.20.png) { width: 32.8507mm; }

1 \(1.00\)
2 \(3.25\)
3 \(6.00\)
4 \(5.00\)
PHXI08:GRAVITATION

359936 If the area swept by the line joining the sun and the earth from Feb 1 to Feb 7 is \('A'\), then the area swept by the radius vector from Feb 8 to Feb 28 is

1 \(A\)
2 \(2A\)
3 \(3A\)
4 \(4A\)
PHXI08:GRAVITATION

359933 Assertion :
For the planets orbiting around the sun, angular speed, linear speed, \(K.E\) changes with time, but angular momentum remains constant.
Reason :
No torque is acting on the rotating planet. So its angular momentum is constant.

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.
PHXI08:GRAVITATION

359934 A particle of mass \(m\) is subjected to an attractive central force of magnitude \(\frac{k}{{{r^2}}},k\) being \(\mathrm{a}\) constant. If at instant when the particle is at an extreme position in its closed orbit, at a distance ' \(a\) ' from the centre of force, its speed is \(\sqrt {(k{\rm{/}}2ma)} ,\) if the distance of other extreme position is \(b\). The ratio of \(a / b\) is

1 1
2 9
3 5
4 3
PHXI08:GRAVITATION

359935 The earth moves around the sun in an elliptical orbit (as shown in figure). The ratio \(\frac{{OA}}{{OB}} = x.\) The ratio of the speed of the earth at \(B\) to that at \(A\) is found to be \(x^{N}\). The value of \(N\) is
![supporting img](https://image.cleverb.in/upload/2024/7/24/1721802642235-7.20.png) { width: 32.8507mm; }

1 \(1.00\)
2 \(3.25\)
3 \(6.00\)
4 \(5.00\)
PHXI08:GRAVITATION

359936 If the area swept by the line joining the sun and the earth from Feb 1 to Feb 7 is \('A'\), then the area swept by the radius vector from Feb 8 to Feb 28 is

1 \(A\)
2 \(2A\)
3 \(3A\)
4 \(4A\)
PHXI08:GRAVITATION

359933 Assertion :
For the planets orbiting around the sun, angular speed, linear speed, \(K.E\) changes with time, but angular momentum remains constant.
Reason :
No torque is acting on the rotating planet. So its angular momentum is constant.

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.
PHXI08:GRAVITATION

359934 A particle of mass \(m\) is subjected to an attractive central force of magnitude \(\frac{k}{{{r^2}}},k\) being \(\mathrm{a}\) constant. If at instant when the particle is at an extreme position in its closed orbit, at a distance ' \(a\) ' from the centre of force, its speed is \(\sqrt {(k{\rm{/}}2ma)} ,\) if the distance of other extreme position is \(b\). The ratio of \(a / b\) is

1 1
2 9
3 5
4 3
PHXI08:GRAVITATION

359935 The earth moves around the sun in an elliptical orbit (as shown in figure). The ratio \(\frac{{OA}}{{OB}} = x.\) The ratio of the speed of the earth at \(B\) to that at \(A\) is found to be \(x^{N}\). The value of \(N\) is
![supporting img](https://image.cleverb.in/upload/2024/7/24/1721802642235-7.20.png) { width: 32.8507mm; }

1 \(1.00\)
2 \(3.25\)
3 \(6.00\)
4 \(5.00\)
PHXI08:GRAVITATION

359936 If the area swept by the line joining the sun and the earth from Feb 1 to Feb 7 is \('A'\), then the area swept by the radius vector from Feb 8 to Feb 28 is

1 \(A\)
2 \(2A\)
3 \(3A\)
4 \(4A\)
PHXI08:GRAVITATION

359933 Assertion :
For the planets orbiting around the sun, angular speed, linear speed, \(K.E\) changes with time, but angular momentum remains constant.
Reason :
No torque is acting on the rotating planet. So its angular momentum is constant.

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.
PHXI08:GRAVITATION

359934 A particle of mass \(m\) is subjected to an attractive central force of magnitude \(\frac{k}{{{r^2}}},k\) being \(\mathrm{a}\) constant. If at instant when the particle is at an extreme position in its closed orbit, at a distance ' \(a\) ' from the centre of force, its speed is \(\sqrt {(k{\rm{/}}2ma)} ,\) if the distance of other extreme position is \(b\). The ratio of \(a / b\) is

1 1
2 9
3 5
4 3
PHXI08:GRAVITATION

359935 The earth moves around the sun in an elliptical orbit (as shown in figure). The ratio \(\frac{{OA}}{{OB}} = x.\) The ratio of the speed of the earth at \(B\) to that at \(A\) is found to be \(x^{N}\). The value of \(N\) is
![supporting img](https://image.cleverb.in/upload/2024/7/24/1721802642235-7.20.png) { width: 32.8507mm; }

1 \(1.00\)
2 \(3.25\)
3 \(6.00\)
4 \(5.00\)
PHXI08:GRAVITATION

359936 If the area swept by the line joining the sun and the earth from Feb 1 to Feb 7 is \('A'\), then the area swept by the radius vector from Feb 8 to Feb 28 is

1 \(A\)
2 \(2A\)
3 \(3A\)
4 \(4A\)