Kepler’s Laws
PHXI08:GRAVITATION

359941 The orbital angular momentum of a satellite revolving at a distance \(r\) from the centre is \(L\). If the distance is increased to \(16 r\), then the new angular momentum will be

1 \(16 L\)
2 \(64 L\)
3 \(\dfrac{L}{4}\)
4 \(4 L\)
PHXI08:GRAVITATION

359942 Figure shows elliptical path abcd of a planet around the sun S such that the area of triangle csa is \(\dfrac{1}{4}\) the area of the ellipse . (See figure) With \(db\) as the semi major axis, and \(ca\) as the semi minor axis. If \(t_{1}\) is the time taken for planet to go over path \(abc\) and \(t_{2}\) for path taken over \(cda\) then :
supporting img

1 \(t_{1}=3 t_{2}\)
2 \(t_{1}=t_{2}\)
3 \(t_{1}=2 t_{2}\)
4 \(t_{1}=4 t_{2}\)
PHXI08:GRAVITATION

359943 Assertion :
Angular speed of a planet around the sun increases, when it is closer to the sun.
Reason :
Total angular momentum of the system remains 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

359944 A planet is revolving around sun in elliptical orbit. Maximum & minimum distance of planet from sun are respectively \(1.6 \times {10^{12}}\;m\) and \(6 \times {10^{10}}\;m\). Find minimum speed if maximum speed of planet is \(8 \times {10^4}\;m/s\) ?

1 \(3 \times {10^4}\;m/s\)
2 \(3 \times {10^3}\;m/s\)
3 \(8 \times {10^3}\;m/s\)
4 \(4 \times {10^4}\;m/s\)
PHXI08:GRAVITATION

359945 A planet revolves in elliptical orbit around the sun. The linear speed of the planet will be maximum at
supporting img

1 \({\rm{ }}A\)
2 \({\rm{ }}B\)
3 \({\rm{ }}C\)
4 \({\rm{ }}D\)
PHXI08:GRAVITATION

359941 The orbital angular momentum of a satellite revolving at a distance \(r\) from the centre is \(L\). If the distance is increased to \(16 r\), then the new angular momentum will be

1 \(16 L\)
2 \(64 L\)
3 \(\dfrac{L}{4}\)
4 \(4 L\)
PHXI08:GRAVITATION

359942 Figure shows elliptical path abcd of a planet around the sun S such that the area of triangle csa is \(\dfrac{1}{4}\) the area of the ellipse . (See figure) With \(db\) as the semi major axis, and \(ca\) as the semi minor axis. If \(t_{1}\) is the time taken for planet to go over path \(abc\) and \(t_{2}\) for path taken over \(cda\) then :
supporting img

1 \(t_{1}=3 t_{2}\)
2 \(t_{1}=t_{2}\)
3 \(t_{1}=2 t_{2}\)
4 \(t_{1}=4 t_{2}\)
PHXI08:GRAVITATION

359943 Assertion :
Angular speed of a planet around the sun increases, when it is closer to the sun.
Reason :
Total angular momentum of the system remains 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

359944 A planet is revolving around sun in elliptical orbit. Maximum & minimum distance of planet from sun are respectively \(1.6 \times {10^{12}}\;m\) and \(6 \times {10^{10}}\;m\). Find minimum speed if maximum speed of planet is \(8 \times {10^4}\;m/s\) ?

1 \(3 \times {10^4}\;m/s\)
2 \(3 \times {10^3}\;m/s\)
3 \(8 \times {10^3}\;m/s\)
4 \(4 \times {10^4}\;m/s\)
PHXI08:GRAVITATION

359945 A planet revolves in elliptical orbit around the sun. The linear speed of the planet will be maximum at
supporting img

1 \({\rm{ }}A\)
2 \({\rm{ }}B\)
3 \({\rm{ }}C\)
4 \({\rm{ }}D\)
PHXI08:GRAVITATION

359941 The orbital angular momentum of a satellite revolving at a distance \(r\) from the centre is \(L\). If the distance is increased to \(16 r\), then the new angular momentum will be

1 \(16 L\)
2 \(64 L\)
3 \(\dfrac{L}{4}\)
4 \(4 L\)
PHXI08:GRAVITATION

359942 Figure shows elliptical path abcd of a planet around the sun S such that the area of triangle csa is \(\dfrac{1}{4}\) the area of the ellipse . (See figure) With \(db\) as the semi major axis, and \(ca\) as the semi minor axis. If \(t_{1}\) is the time taken for planet to go over path \(abc\) and \(t_{2}\) for path taken over \(cda\) then :
supporting img

1 \(t_{1}=3 t_{2}\)
2 \(t_{1}=t_{2}\)
3 \(t_{1}=2 t_{2}\)
4 \(t_{1}=4 t_{2}\)
PHXI08:GRAVITATION

359943 Assertion :
Angular speed of a planet around the sun increases, when it is closer to the sun.
Reason :
Total angular momentum of the system remains 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

359944 A planet is revolving around sun in elliptical orbit. Maximum & minimum distance of planet from sun are respectively \(1.6 \times {10^{12}}\;m\) and \(6 \times {10^{10}}\;m\). Find minimum speed if maximum speed of planet is \(8 \times {10^4}\;m/s\) ?

1 \(3 \times {10^4}\;m/s\)
2 \(3 \times {10^3}\;m/s\)
3 \(8 \times {10^3}\;m/s\)
4 \(4 \times {10^4}\;m/s\)
PHXI08:GRAVITATION

359945 A planet revolves in elliptical orbit around the sun. The linear speed of the planet will be maximum at
supporting img

1 \({\rm{ }}A\)
2 \({\rm{ }}B\)
3 \({\rm{ }}C\)
4 \({\rm{ }}D\)
PHXI08:GRAVITATION

359941 The orbital angular momentum of a satellite revolving at a distance \(r\) from the centre is \(L\). If the distance is increased to \(16 r\), then the new angular momentum will be

1 \(16 L\)
2 \(64 L\)
3 \(\dfrac{L}{4}\)
4 \(4 L\)
PHXI08:GRAVITATION

359942 Figure shows elliptical path abcd of a planet around the sun S such that the area of triangle csa is \(\dfrac{1}{4}\) the area of the ellipse . (See figure) With \(db\) as the semi major axis, and \(ca\) as the semi minor axis. If \(t_{1}\) is the time taken for planet to go over path \(abc\) and \(t_{2}\) for path taken over \(cda\) then :
supporting img

1 \(t_{1}=3 t_{2}\)
2 \(t_{1}=t_{2}\)
3 \(t_{1}=2 t_{2}\)
4 \(t_{1}=4 t_{2}\)
PHXI08:GRAVITATION

359943 Assertion :
Angular speed of a planet around the sun increases, when it is closer to the sun.
Reason :
Total angular momentum of the system remains 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

359944 A planet is revolving around sun in elliptical orbit. Maximum & minimum distance of planet from sun are respectively \(1.6 \times {10^{12}}\;m\) and \(6 \times {10^{10}}\;m\). Find minimum speed if maximum speed of planet is \(8 \times {10^4}\;m/s\) ?

1 \(3 \times {10^4}\;m/s\)
2 \(3 \times {10^3}\;m/s\)
3 \(8 \times {10^3}\;m/s\)
4 \(4 \times {10^4}\;m/s\)
PHXI08:GRAVITATION

359945 A planet revolves in elliptical orbit around the sun. The linear speed of the planet will be maximum at
supporting img

1 \({\rm{ }}A\)
2 \({\rm{ }}B\)
3 \({\rm{ }}C\)
4 \({\rm{ }}D\)
PHXI08:GRAVITATION

359941 The orbital angular momentum of a satellite revolving at a distance \(r\) from the centre is \(L\). If the distance is increased to \(16 r\), then the new angular momentum will be

1 \(16 L\)
2 \(64 L\)
3 \(\dfrac{L}{4}\)
4 \(4 L\)
PHXI08:GRAVITATION

359942 Figure shows elliptical path abcd of a planet around the sun S such that the area of triangle csa is \(\dfrac{1}{4}\) the area of the ellipse . (See figure) With \(db\) as the semi major axis, and \(ca\) as the semi minor axis. If \(t_{1}\) is the time taken for planet to go over path \(abc\) and \(t_{2}\) for path taken over \(cda\) then :
supporting img

1 \(t_{1}=3 t_{2}\)
2 \(t_{1}=t_{2}\)
3 \(t_{1}=2 t_{2}\)
4 \(t_{1}=4 t_{2}\)
PHXI08:GRAVITATION

359943 Assertion :
Angular speed of a planet around the sun increases, when it is closer to the sun.
Reason :
Total angular momentum of the system remains 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

359944 A planet is revolving around sun in elliptical orbit. Maximum & minimum distance of planet from sun are respectively \(1.6 \times {10^{12}}\;m\) and \(6 \times {10^{10}}\;m\). Find minimum speed if maximum speed of planet is \(8 \times {10^4}\;m/s\) ?

1 \(3 \times {10^4}\;m/s\)
2 \(3 \times {10^3}\;m/s\)
3 \(8 \times {10^3}\;m/s\)
4 \(4 \times {10^4}\;m/s\)
PHXI08:GRAVITATION

359945 A planet revolves in elliptical orbit around the sun. The linear speed of the planet will be maximum at
supporting img

1 \({\rm{ }}A\)
2 \({\rm{ }}B\)
3 \({\rm{ }}C\)
4 \({\rm{ }}D\)