MHT CET 2024 15th May Morning Shift | Gravitation Question 7 | Physics

The weights of an object are measured in a coal mine of depth ' $h_1$ ', then at sea level of height ' $h_2$ ' and lastly at the top of a mountain of height ' $h_3$ ' as $W_1, W_2$ and $W_3$ respectively. Which one of the following relation is correct? [h $h_1 \ll R, h_3 \gg h_2=R, R=$ radius of the earth ]

$\mathrm{W}_1=\mathrm{W}_2=\mathrm{W}_3$

$\mathrm{W}_1<\mathrm{W}_2<\mathrm{W}_3$

$\mathrm{W}_1>\mathrm{W}_2<\mathrm{W}_3$

$\mathrm{W}_1<\mathrm{W}_2>\mathrm{W}_3$

MHT CET 2024 15th May Morning Shift

MCQ (Single Correct Answer)

-0

A satellite of mass ' $m$ ' is revolving around the earth of mass ' $M$ ' in an orbit of radius ' $r$ ' with constant angular velocity ' $\omega$ '. The angular momentum of satellite is ( $\mathrm{G}=$ Universal constant of gravitation)

$\mathrm{m}(\mathrm{GMr})^{3 / 2}$

$\mathrm{m}(\mathrm{GMr})$

$\mathrm{m}(\mathrm{GMr})^{1 / 2}$

$ \mathrm{m}(\mathrm{GMr})^{-1 / 2}$

MHT CET 2024 11th May Evening Shift

MCQ (Single Correct Answer)

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For a satellite moving in an orbit around the earth at height ' $h$ ' the ratio of kinetic energy to potential energy is

$2: 1$

$1: 2$

$1: \sqrt{2}$

$\sqrt{2}: 1$

MHT CET 2024 11th May Evening Shift

MCQ (Single Correct Answer)

-0

A body is projected in vertically upward direction from the surface of the earth of radius ' $R$ ' into space with velocity ' $n V_{\mathrm{e}}$ ' $(\mathrm{n}<1)$. The maximum height from the surface of earth to which a body can reach is

$\frac{\mathrm{n}^2 \mathrm{R}}{\left(1-\mathrm{n}^2\right)}$

$\frac{\mathrm{n}^2 \mathrm{R}^2}{(1-\mathrm{n})}$

$\frac{n R^2}{\left(1+n^2\right)}$

$\frac{\mathrm{n}^2 \mathrm{R}^2}{(1+\mathrm{n})}$

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