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

Acceleration Due to Gravity and its Variation With Altitude and Depth

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

7.
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
ANSWER :
C. R₂² : R₁²
8.
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%
ANSWER :
D. Increase by 2%
9.
If the Earth's mass doubled but its radius remained the same, g on the surface would:
A.
Halve
B.
Remain the same
C.
Double
D.
Become four times
ANSWER :
C. Double
10.
If both the mass and radius of the Earth were to be doubled, the value of g on the surface would:
A.
Become half
B.
Remain the same
C.
Become double
D.
Become four times
ANSWER :
A. Become half
11.
In terms of mean density ρ of the Earth and its radius R, the surface gravity is:
A.
g = (4/3) π G ρ R
B.
g = (4/3) π G ρ R²
C.
g = G ρ R
D.
g = π G ρ R³
ANSWER :
A. g = (4/3) π G ρ R
12.
Two planets have the same surface gravity g. Planet A has twice the radius of planet B. The ratio of their masses M_A : M_B is:
A.
1 : 1
B.
2 : 1
C.
4 : 1
D.
1 : 2
ANSWER :
C. 4 : 1