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

The depth 'd' at which the value of acceleration due to gravity becomes $\frac{1}{n-1}$ times the value at the earth's surface is ($R=$ radius of the earth)

A
$R\left(\frac{n}{n-1}\right)$
B
$R\left(\frac{n-2}{n-1}\right)$
C
$R\left(\frac{2 n-1}{n}\right)$
D
$\mathrm{R}\left(\frac{\mathrm{n}-1}{2 \mathrm{n}-1}\right)$
2
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
3
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
$\mathrm{2 R}$
4
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
$2 \mathrm{GM} \sqrt{\left(\frac{1}{\mathrm{R}}-\frac{1}{\mathrm{R}_0}\right)}$
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