1
MHT CET 2025 25th April Evening Shift
MCQ (Single Correct Answer)
+1
-0

The depth at which the value of acceleration due to gravity becomes $\left(\frac{1}{n}\right)$ times the value at the surface of the earth is

( $\mathrm{R}=$ radius of the earth)

A
$\frac{R(n-1)}{n}$
B
$\frac{R(n+1)}{n}$
C
$\frac{\mathrm{Rn}}{(\mathrm{n}-1)}$
D
$\frac{R}{n}$
2
MHT CET 2025 25th April Morning Shift
MCQ (Single Correct Answer)
+1
-0

Two planets A and B have densities ' $\rho_1$ ', ' $\rho_2$ ' and have radii ' $r_1$ ', ' $r_2$ ', respectively. The ratio of acceleration due to gravity on $A$ to that of $B$ is

A
$r_1: r_2$
B
$r_1 \rho_1: r_2 \rho_2$
C
$\quad r_1^2 \rho_1: r_2^2 \rho_2$
D
$r_1 \rho_2: r_2 \rho_1$
3
MHT CET 2025 23rd April Evening Shift
MCQ (Single Correct Answer)
+1
-0

The gravitational pull of the moon is $\left(\frac{1}{6}\right)^{th}$ of the earth and mass of moon is $\left(\frac{1}{8}\right)^{\text {th }}$ of the earth. This implies that the

A
radius of moon is $(1 / 4)^{\text {th }}$ of the earth's radius.
B
radius of the earth is $(\sqrt{4 / 3})^{\text {th }}$ of the moon's radius.
C
moon's radius is half that of the earth.
D
radius of the earth is $(4 / 3)^{\text {th }}$ of the moon's radius.
4
MHT CET 2025 23rd April Morning Shift
MCQ (Single Correct Answer)
+1
-0

A uniform solid sphere of mass ' $m$ ' and radius ' r ' is surrounded by a uniform thin spherical shell of radius ' $2 r$ ' and mass ' $m$ ' then the gravitational field

A

at a distance of 15 r from the centre is

$$ \frac{2}{9} \frac{\mathrm{Gm}}{\mathrm{r}^2} $$

B

at a distance of (2.5)r from the centre is

$$ \frac{8}{25} \frac{\mathrm{Gm}}{\mathrm{r}^2} $$

C
at a distance of (1.5)r from the centre is zero.
D
between the sphere and spherical shell is uniform.
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