MHT CET 2026 13th April Morning Shift | Gravitation Question 16 | Physics

A body is projected vertically from earth's surface of radius R with velocity equal to half the escape velocity. The maximum height reached by the body is

$\dfrac{R}{3}$

$R$

$\dfrac{R}{2}$

$\dfrac{R}{4}$

MHT CET 2026 11th April Evening Shift

MCQ (Single Correct Answer)

-0

The density of a planet is three times that of earth and radius $2.5$ times that of earth. If $g_p$ and $g_e$ represents acceleration due to gravity on planet and earth respectively then ratio $g_p$ to $g_e$ is

$7.5$

$3.5$

$6.5$

$9.5$

MHT CET 2026 11th April Morning Shift

MCQ (Single Correct Answer)

-0

Given below are two statements:
Statement I: Acceleration due to earth's gravity decreases as you go 'up' or 'down' from earth's surface.
Statement II: Acceleration due to earth's gravity is same at a height '$h$' and depths '$d$' from earth's surface, if $h = d$.
In the light of above statements, choose the most appropriate answer from the options given below.

Statement I is incorrect but statement II is correct

Both statement I and statement II are incorrect

Statement I is correct but statement II is incorrect

Both Statement I and II are correct.

MHT CET 2025 5th May Evening Shift

MCQ (Single Correct Answer)

-0

A uniform sphere has radius ' $R$ ' and mass ' $M$ '. The magnitude of gravitational field at distances ' $\mathrm{r}_1$ ' and ' $\mathrm{r}_2$ ' from the centre of the sphere are ' $E_1$ ' and ' $E_2$ ' respectively. The ratio $E_1: E_2$ is $\left(r_1>R\right.$ and $\left.r_2

$\frac{R^2}{r_1^2 r_2}$

$\frac{R^3}{r_1 r_2}$

$\frac{R^3}{r_1^2 r_2}$

$\frac{R^3}{r_1 r_2^2}$

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