1
MHT CET 2024 11th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

Assuming that the earth is revolving around the sun in circular orbit of radius R , the angular momentum is directly proportional to $\mathrm{R}^{\mathrm{n}}$. The value of ' $n$ ' is

A
2
B
1.5
C
1
D
0.5
2
MHT CET 2024 10th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The height ' h ' from the surface of the earth at which the value of ' $g$ ' will be reduced by $64 \%$ than the value at surface of the earth is ( $\mathrm{R}=$ radius of the earth)

A
$\frac{1}{3} R$
B
$\frac{2}{3} R$
C
$\frac{3}{2} R$
D
$\mathrm{2 R}$
3
MHT CET 2024 10th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A body starts from rest from a distance $\mathrm{R}_0$ from the centre of the earth. The velocity acquired by the body when it reaches the surface of the earth will be ( $R=$ radius of earth, $M=$ mass of earth)

A
$2 \mathrm{GM}\left(\frac{1}{\mathrm{R}}-\frac{1}{\mathrm{R}_0}\right)$
B
$\sqrt{2 \mathrm{GM}\left(\frac{1}{\mathrm{R}}-\frac{1}{\mathrm{R}_0}\right)}$
C
$\mathrm{GM}\left(\frac{1}{\mathrm{R}}-\frac{1}{\mathrm{R}_0}\right)$
D
$2 \mathrm{GM} \sqrt{\left(\frac{1}{\mathrm{R}}-\frac{1}{\mathrm{R}_0}\right)}$
4
MHT CET 2024 10th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

The radius and mean density of the planet are four times as that of the earth. The ratio of escape velocity at the earth to the escape velocity at a planet is

A
$1: \sqrt{8}$
B
$1: 8$
C
$1: \sqrt{3}$
D
$1: 3$
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