Kepler’s Laws
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PHXI08:GRAVITATION

359954 A planet moves in a circular path. It describes equal angles about the centre in equal intervals of time. Which of the following statements about the velocity of the planet is true?

1 Velocity is directed towards the centre of the circle
2 Magnitude of velocity is not constant
3 Both magnitude and direction of velocity change
4 Magnitude of velocity is constant but direction changes
PHXI08:GRAVITATION

359955 In planetary motion the areal velocity of position vector of a planet depends on angular velocity\((\omega)\) and the distance of the planet from sun (\(r\)). The correct relation for areal velocity is

1 \(\dfrac{d A}{d t} \propto \omega r\)
2 \(\dfrac{d A}{d t}=\sqrt{\omega r}\)
3 \(\dfrac{d A}{d t} \propto \omega^{2} r\)
4 \(\dfrac{d A}{d t} \propto \omega r^{2}\)
PHXI08:GRAVITATION

359956 The radius vector drawn from the sun to a planet sweeps out ______areas in equal time

1 Equal
2 Unequal
3 Greater
4 Less
PHXI08:GRAVITATION

359957 The kinetic energies of a planet in an elliptical orbit about the Sun, at positions \(A\), \(B\) and \(C\) are \(K_{A}, K_{B}\) and \(K_{C}\) respectively. \(AC\) is the major axis and \(SB\) is perpendicular to \(AC\) at the position of the Sun \(S\) is shown in the figure. Then,
supporting img

1 \(K_{B} < K_{A} < K_{C}\)
2 \(K_{B}>K_{A}>K_{C}\)
3 \(K_{A}>K_{B}>K_{C}\)
4 \(K_{A} < K_{B} < K_{C}\)
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PHXI08:GRAVITATION

359954 A planet moves in a circular path. It describes equal angles about the centre in equal intervals of time. Which of the following statements about the velocity of the planet is true?

1 Velocity is directed towards the centre of the circle
2 Magnitude of velocity is not constant
3 Both magnitude and direction of velocity change
4 Magnitude of velocity is constant but direction changes
PHXI08:GRAVITATION

359955 In planetary motion the areal velocity of position vector of a planet depends on angular velocity\((\omega)\) and the distance of the planet from sun (\(r\)). The correct relation for areal velocity is

1 \(\dfrac{d A}{d t} \propto \omega r\)
2 \(\dfrac{d A}{d t}=\sqrt{\omega r}\)
3 \(\dfrac{d A}{d t} \propto \omega^{2} r\)
4 \(\dfrac{d A}{d t} \propto \omega r^{2}\)
PHXI08:GRAVITATION

359956 The radius vector drawn from the sun to a planet sweeps out ______areas in equal time

1 Equal
2 Unequal
3 Greater
4 Less
PHXI08:GRAVITATION

359957 The kinetic energies of a planet in an elliptical orbit about the Sun, at positions \(A\), \(B\) and \(C\) are \(K_{A}, K_{B}\) and \(K_{C}\) respectively. \(AC\) is the major axis and \(SB\) is perpendicular to \(AC\) at the position of the Sun \(S\) is shown in the figure. Then,
supporting img

1 \(K_{B} < K_{A} < K_{C}\)
2 \(K_{B}>K_{A}>K_{C}\)
3 \(K_{A}>K_{B}>K_{C}\)
4 \(K_{A} < K_{B} < K_{C}\)
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PHXI08:GRAVITATION

359954 A planet moves in a circular path. It describes equal angles about the centre in equal intervals of time. Which of the following statements about the velocity of the planet is true?

1 Velocity is directed towards the centre of the circle
2 Magnitude of velocity is not constant
3 Both magnitude and direction of velocity change
4 Magnitude of velocity is constant but direction changes
PHXI08:GRAVITATION

359955 In planetary motion the areal velocity of position vector of a planet depends on angular velocity\((\omega)\) and the distance of the planet from sun (\(r\)). The correct relation for areal velocity is

1 \(\dfrac{d A}{d t} \propto \omega r\)
2 \(\dfrac{d A}{d t}=\sqrt{\omega r}\)
3 \(\dfrac{d A}{d t} \propto \omega^{2} r\)
4 \(\dfrac{d A}{d t} \propto \omega r^{2}\)
PHXI08:GRAVITATION

359956 The radius vector drawn from the sun to a planet sweeps out ______areas in equal time

1 Equal
2 Unequal
3 Greater
4 Less
PHXI08:GRAVITATION

359957 The kinetic energies of a planet in an elliptical orbit about the Sun, at positions \(A\), \(B\) and \(C\) are \(K_{A}, K_{B}\) and \(K_{C}\) respectively. \(AC\) is the major axis and \(SB\) is perpendicular to \(AC\) at the position of the Sun \(S\) is shown in the figure. Then,
supporting img

1 \(K_{B} < K_{A} < K_{C}\)
2 \(K_{B}>K_{A}>K_{C}\)
3 \(K_{A}>K_{B}>K_{C}\)
4 \(K_{A} < K_{B} < K_{C}\)
NEET - 2018
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PHXI08:GRAVITATION

359954 A planet moves in a circular path. It describes equal angles about the centre in equal intervals of time. Which of the following statements about the velocity of the planet is true?

1 Velocity is directed towards the centre of the circle
2 Magnitude of velocity is not constant
3 Both magnitude and direction of velocity change
4 Magnitude of velocity is constant but direction changes
PHXI08:GRAVITATION

359955 In planetary motion the areal velocity of position vector of a planet depends on angular velocity\((\omega)\) and the distance of the planet from sun (\(r\)). The correct relation for areal velocity is

1 \(\dfrac{d A}{d t} \propto \omega r\)
2 \(\dfrac{d A}{d t}=\sqrt{\omega r}\)
3 \(\dfrac{d A}{d t} \propto \omega^{2} r\)
4 \(\dfrac{d A}{d t} \propto \omega r^{2}\)
PHXI08:GRAVITATION

359956 The radius vector drawn from the sun to a planet sweeps out ______areas in equal time

1 Equal
2 Unequal
3 Greater
4 Less
PHXI08:GRAVITATION

359957 The kinetic energies of a planet in an elliptical orbit about the Sun, at positions \(A\), \(B\) and \(C\) are \(K_{A}, K_{B}\) and \(K_{C}\) respectively. \(AC\) is the major axis and \(SB\) is perpendicular to \(AC\) at the position of the Sun \(S\) is shown in the figure. Then,
supporting img

1 \(K_{B} < K_{A} < K_{C}\)
2 \(K_{B}>K_{A}>K_{C}\)
3 \(K_{A}>K_{B}>K_{C}\)
4 \(K_{A} < K_{B} < K_{C}\)
NEET - 2018
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