1
MHT CET 2024 10th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

A small planet is revolving around a very massive star in a circular orbit of radius ' $R$ ' with a period of revolution ' $T$ '. If the gravitational force between the planet and the star were proportional to '$R^{-5 / 2}$', then '$T$' would be proportional to

A
$\mathrm{R}^{3 / 2}$
B
$\mathrm{R}^{3 / 5}$
C
$\mathrm{R}^{7 / 2}$
D
$\mathrm{R}^{7 / 4}$
2
MHT CET 2024 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A satellite is revolving around a planet in a circular orbit close to its surface. Let ' $\rho$ ' be the mean density and ' $R$ ' be the radius of the planet. Then the period of the satellite is ( $\mathrm{G}=$ universal constant of gravitation)

A
$\sqrt{\frac{4 \pi}{\rho G}}$
B
$\sqrt{\frac{\pi}{\rho G}}$
C
$\sqrt{\frac{3 \pi}{\rho G}}$
D
$\sqrt{\frac{2 \pi}{\rho G}}$
3
MHT CET 2024 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The radius of the planet is double that of the earth, but their average densities are same. $\mathrm{V}_{\mathrm{p}}$ and $V_E$ are the escape velocities of planet and earth respectively. If $\frac{V_P}{V_E}=x$, the value of ' $x$ ' is

A
$\frac{1}{4}$
B
$\frac{1}{2}$
C
2
D
4
4
MHT CET 2024 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

Two satellites A and B having ratio of masses $3: 1$ are revolving in circular orbits of radii ' $r$ ' and ' 4 r '. The ratio of total energy of satellites A to that of B is

A
$1: 3$
B
$3: 1$
C
$3: 4$
D
$12: 1$
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