Kepler’s Laws
PHXI08:GRAVITATION

359971 Assertion :
The angular speed of the moon in its orbit about the earth is more than the angular speed of the earth in its orbit about the sun.
Reason :
The moon takes less time to move around the earth than the time taken by the earth to move around the sun.

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

359972 The distance between Sun and Earth is \(R\). The duration of year if the distance between Sun and Earth becomes 3\(R\) will be :

1 3 years
2 9 years
3 \(\sqrt{3}\) years
4 \(3 \sqrt{3}\) years
PHXI08:GRAVITATION

359973 Two planets \(A\) and \(B\) having masses \(m_{1}\) and \(m_{2}\) move around the sun in circular orbits of \(r_{1}\) and \(r_{2}\) radii, respectively. If angular momentum of \(A\) is \(L\) and that of \(B\) is \(3 L\), the ratio of time \(\operatorname{period}\left(\dfrac{T_{A}}{T_{B}}\right)\) is

1 \(\left(\dfrac{r_{2}}{r_{1}}\right)^{3 / 2}\)
2 \(\left(\dfrac{r_{1}}{r_{2}}\right)^{3}\)
3 \(27\left(\dfrac{m_{1}}{m_{2}}\right)^{3}\)
4 \(\dfrac{1}{27}\left(\dfrac{m_{2}}{m_{1}}\right)^{3}\)
PHXI08:GRAVITATION

359974 The time period of a satellite of earth is 24 hours. If the separation between the earth and the satellite is decreased to one fourth of the previous value, then its new time period will become

1 4 hours
2 12 hours
3 3 hours
4 6 hours
PHXI08:GRAVITATION

359975 Statement A :
Smaller the orbit of the planet around the sun, shorter is the time it takes to complete one revolution.
Statement B :
According to Kepler's third law of planetary motion, square of time period is proportional to cube of mean distance from sun.

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.
PHXI08:GRAVITATION

359971 Assertion :
The angular speed of the moon in its orbit about the earth is more than the angular speed of the earth in its orbit about the sun.
Reason :
The moon takes less time to move around the earth than the time taken by the earth to move around the sun.

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

359972 The distance between Sun and Earth is \(R\). The duration of year if the distance between Sun and Earth becomes 3\(R\) will be :

1 3 years
2 9 years
3 \(\sqrt{3}\) years
4 \(3 \sqrt{3}\) years
PHXI08:GRAVITATION

359973 Two planets \(A\) and \(B\) having masses \(m_{1}\) and \(m_{2}\) move around the sun in circular orbits of \(r_{1}\) and \(r_{2}\) radii, respectively. If angular momentum of \(A\) is \(L\) and that of \(B\) is \(3 L\), the ratio of time \(\operatorname{period}\left(\dfrac{T_{A}}{T_{B}}\right)\) is

1 \(\left(\dfrac{r_{2}}{r_{1}}\right)^{3 / 2}\)
2 \(\left(\dfrac{r_{1}}{r_{2}}\right)^{3}\)
3 \(27\left(\dfrac{m_{1}}{m_{2}}\right)^{3}\)
4 \(\dfrac{1}{27}\left(\dfrac{m_{2}}{m_{1}}\right)^{3}\)
PHXI08:GRAVITATION

359974 The time period of a satellite of earth is 24 hours. If the separation between the earth and the satellite is decreased to one fourth of the previous value, then its new time period will become

1 4 hours
2 12 hours
3 3 hours
4 6 hours
PHXI08:GRAVITATION

359975 Statement A :
Smaller the orbit of the planet around the sun, shorter is the time it takes to complete one revolution.
Statement B :
According to Kepler's third law of planetary motion, square of time period is proportional to cube of mean distance from sun.

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.
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI08:GRAVITATION

359971 Assertion :
The angular speed of the moon in its orbit about the earth is more than the angular speed of the earth in its orbit about the sun.
Reason :
The moon takes less time to move around the earth than the time taken by the earth to move around the sun.

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

359972 The distance between Sun and Earth is \(R\). The duration of year if the distance between Sun and Earth becomes 3\(R\) will be :

1 3 years
2 9 years
3 \(\sqrt{3}\) years
4 \(3 \sqrt{3}\) years
PHXI08:GRAVITATION

359973 Two planets \(A\) and \(B\) having masses \(m_{1}\) and \(m_{2}\) move around the sun in circular orbits of \(r_{1}\) and \(r_{2}\) radii, respectively. If angular momentum of \(A\) is \(L\) and that of \(B\) is \(3 L\), the ratio of time \(\operatorname{period}\left(\dfrac{T_{A}}{T_{B}}\right)\) is

1 \(\left(\dfrac{r_{2}}{r_{1}}\right)^{3 / 2}\)
2 \(\left(\dfrac{r_{1}}{r_{2}}\right)^{3}\)
3 \(27\left(\dfrac{m_{1}}{m_{2}}\right)^{3}\)
4 \(\dfrac{1}{27}\left(\dfrac{m_{2}}{m_{1}}\right)^{3}\)
PHXI08:GRAVITATION

359974 The time period of a satellite of earth is 24 hours. If the separation between the earth and the satellite is decreased to one fourth of the previous value, then its new time period will become

1 4 hours
2 12 hours
3 3 hours
4 6 hours
PHXI08:GRAVITATION

359975 Statement A :
Smaller the orbit of the planet around the sun, shorter is the time it takes to complete one revolution.
Statement B :
According to Kepler's third law of planetary motion, square of time period is proportional to cube of mean distance from sun.

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.
PHXI08:GRAVITATION

359971 Assertion :
The angular speed of the moon in its orbit about the earth is more than the angular speed of the earth in its orbit about the sun.
Reason :
The moon takes less time to move around the earth than the time taken by the earth to move around the sun.

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

359972 The distance between Sun and Earth is \(R\). The duration of year if the distance between Sun and Earth becomes 3\(R\) will be :

1 3 years
2 9 years
3 \(\sqrt{3}\) years
4 \(3 \sqrt{3}\) years
PHXI08:GRAVITATION

359973 Two planets \(A\) and \(B\) having masses \(m_{1}\) and \(m_{2}\) move around the sun in circular orbits of \(r_{1}\) and \(r_{2}\) radii, respectively. If angular momentum of \(A\) is \(L\) and that of \(B\) is \(3 L\), the ratio of time \(\operatorname{period}\left(\dfrac{T_{A}}{T_{B}}\right)\) is

1 \(\left(\dfrac{r_{2}}{r_{1}}\right)^{3 / 2}\)
2 \(\left(\dfrac{r_{1}}{r_{2}}\right)^{3}\)
3 \(27\left(\dfrac{m_{1}}{m_{2}}\right)^{3}\)
4 \(\dfrac{1}{27}\left(\dfrac{m_{2}}{m_{1}}\right)^{3}\)
PHXI08:GRAVITATION

359974 The time period of a satellite of earth is 24 hours. If the separation between the earth and the satellite is decreased to one fourth of the previous value, then its new time period will become

1 4 hours
2 12 hours
3 3 hours
4 6 hours
PHXI08:GRAVITATION

359975 Statement A :
Smaller the orbit of the planet around the sun, shorter is the time it takes to complete one revolution.
Statement B :
According to Kepler's third law of planetary motion, square of time period is proportional to cube of mean distance from sun.

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.
PHXI08:GRAVITATION

359971 Assertion :
The angular speed of the moon in its orbit about the earth is more than the angular speed of the earth in its orbit about the sun.
Reason :
The moon takes less time to move around the earth than the time taken by the earth to move around the sun.

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

359972 The distance between Sun and Earth is \(R\). The duration of year if the distance between Sun and Earth becomes 3\(R\) will be :

1 3 years
2 9 years
3 \(\sqrt{3}\) years
4 \(3 \sqrt{3}\) years
PHXI08:GRAVITATION

359973 Two planets \(A\) and \(B\) having masses \(m_{1}\) and \(m_{2}\) move around the sun in circular orbits of \(r_{1}\) and \(r_{2}\) radii, respectively. If angular momentum of \(A\) is \(L\) and that of \(B\) is \(3 L\), the ratio of time \(\operatorname{period}\left(\dfrac{T_{A}}{T_{B}}\right)\) is

1 \(\left(\dfrac{r_{2}}{r_{1}}\right)^{3 / 2}\)
2 \(\left(\dfrac{r_{1}}{r_{2}}\right)^{3}\)
3 \(27\left(\dfrac{m_{1}}{m_{2}}\right)^{3}\)
4 \(\dfrac{1}{27}\left(\dfrac{m_{2}}{m_{1}}\right)^{3}\)
PHXI08:GRAVITATION

359974 The time period of a satellite of earth is 24 hours. If the separation between the earth and the satellite is decreased to one fourth of the previous value, then its new time period will become

1 4 hours
2 12 hours
3 3 hours
4 6 hours
PHXI08:GRAVITATION

359975 Statement A :
Smaller the orbit of the planet around the sun, shorter is the time it takes to complete one revolution.
Statement B :
According to Kepler's third law of planetary motion, square of time period is proportional to cube of mean distance from sun.

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.