1
MHT CET 2024 4th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

The height ' $h$ ' above the earth's surface at which the value of acceleration due to gravity $(\mathrm{g})$ becomes $\left(\frac{\mathrm{g}}{3}\right)$ is ( $\mathrm{R}=$ radius of the earth)

A
$(\sqrt{3}+1) R$
B
$(\sqrt{3}-1) R$
C
$\sqrt{3} \mathrm{R}$
D
$3 \sqrt{R}$
2
MHT CET 2024 3rd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The height at which the weight of the body becomes $\frac{1^{\text {th }}}{16}$ of its weight on the surface of the earth of radius ' $R$ ' is

A
2 R
B
3 R
C
4 R
D
5 R
3
MHT CET 2024 3rd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

Two identical metal spheres are kept in contact with each other, each having radius ' $R$ ' cm and ' $\rho$ ' is the density of material of metal spheres. The gravitational force ' $F$ ' of attraction between them is proportional to

A
$\mathrm{R}^3 \rho$
B
$R^4 \rho^2$
C
$R^4 \rho$
D
$\mathrm{R}^3 p^2$
4
MHT CET 2024 3rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

The distance of the two planets A and B from the sun are $r_A$ and $r_B$ respectively. Also $r_B$ is equal to $100 r_A$. If the orbital speed of the planet $A$ is ' $v$ ' then the orbital speed of the planet B is

A
$\frac{\mathrm{v}}{10}$
B
$\frac{v}{2}$
C
$ \sqrt{2} v$
D
10 v
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