Acceleration Due to Gravity and its Variation With Altitude and Depth NEET Questions

Physics - Gravitation

Acceleration Due to Gravity and its Variation With Altitude and Depth MCQ Questions


7.
Using g = G M_E / R_E², and given g = 9.8 m/s², R_E = 6.4 × 10⁶ m, G = 6.67 × 10⁻¹¹ N·m²/kg², the approximate mass of the Earth is:
A.
6 × 10²⁴ kg
B.
6 × 10²² kg
C.
6 × 10²⁶ kg
D.
6 × 10²⁰ kg
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ANSWER :
A. 6 × 10²⁴ kg
8.
Two planets have the same density but their radii are R₁ and R₂. The ratio of g on their surfaces (g₁/g₂) is:
A.
(R₁/R₂)²
B.
(R₂/R₁)
C.
R₁/R₂
D.
(R₁/R₂)³
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ANSWER :
C. R₁/R₂
9.
The value of acceleration due to gravity at a depth d is equal to its value at an altitude of 5 km. The value of d is:

NEET - 2020

A.
5 km
B.
10 km
C.
2.5 km
D.
20 km
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ANSWER :
A. 5 km
10.
Two planets have the same mass but different radii R₁ and R₂. The ratio g₁ : g₂ is:
A.
R₁ : R₂
B.
R₁² : R₂²
C.
R₂² : R₁²
D.
R₂ : R₁
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ANSWER :
C. R₂² : R₁²
11.
If the radius of the Earth were to shrink by 1% while its mass remained the same, the value of g on the surface would:
A.
Decrease by 1%
B.
Increase by 1%
C.
Decrease by 2%
D.
Increase by 2%
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ANSWER :
D. Increase by 2%
12.
At what height above the Earth's surface will the acceleration due to gravity be reduced to 64% of its value at the surface? (Assume Earth's radius as R)

NEET - 2018

A.
0.5R
B.
0.6R
C.
0.25R
D.
0.75R
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ANSWER :
A. 0.5R