1
VITEEE 2024
MCQ (Single Correct Answer)
+1
-0

If gravitational attraction between two points masses be given by $F=G \frac{m_1 m_2}{r^n}$, then the period of a satellite in a circular orbit will be proportional to

A
$r^{\frac{n-1}{2}}$
B
$r^{\frac{n+1}{2}}$
C
$r^{\frac{n}{2}}$
D
independent of $n$
2
VITEEE 2024
MCQ (Single Correct Answer)
+1
-0

The distance of the centres of Moon and the Earth is $D$. The mass of the Earth is 81 times the mass of the Moon. At what distance from the centre of the Earth, the gravitational force on a particle will be zero?

A
$\frac{D}{2}$
B
$\frac{2 D}{3}$
C
$\frac{4 D}{3}$
D
$\frac{9 D}{10}$
3
VITEEE 2023
MCQ (Single Correct Answer)
+1
-0

The gravitational field in a region is given by $$\mathbf{E}=5 \mathrm{~N} / \mathrm{kg} \hat{\mathbf{i}}+12 \mathrm{~N} / \mathrm{kg} \hat{\mathbf{j}}$$. The change in the gravitational potential energy of a particle of mass $$1 \mathrm{~kg}$$ when it is taken from the origin to a point ($$5 \hat{\mathbf{i}}-5 \hat{\mathbf{j}}$$) is

A
$$71 \mathrm{~J}$$
B
$$13 \sqrt{58} \mathrm{~J}$$
C
$$-71 \mathrm{~J}$$
D
$$35 \mathrm{~J}$$
4
VITEEE 2023
MCQ (Single Correct Answer)
+1
-0

A geostationary satellite is orbiting the Earth at a height of $$4 R$$ above that surface of the Earth. $R$ being the radius of the earth. The, time period of another stellite in coins at a height of $$2 R$$ from the surface of the Earth is.

A
$$2 T_1$$
B
$$2 \sqrt{2} T_1$$
C
$$T_1 / 2$$
D
$$T_1 / 2 \sqrt{2}$$
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