Gravitation Test

Result

Gravitation Test - 65

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Weekly Quiz Competition

Question 1
4 / -1

If the mass of earth is 80 times of that of a planet and diameter is double that of planet and \'g\' on earth is 9.8 m/s², then the value of \'g\' on that planet is

A
4.9 m/s²

B
0.98 m/s²

C
0.49 m/s²

D
49 m/s²

Solution
Question 2
4 / -1

At what distance from the centre of the earth, the value of acceleration due to gravity g will be half that on the surface (R = radius of earth)

A
2 R

B
R

C
1.414 R

D
0.414 R

Solution
Question 3
4 / -1

A man can jump to a height of 1.5 m on a planet A. What is the height he may be able to jump on another planet whose density and radius are, respectively, one-quarter and one-third that of planet A

A
1.5 m

B
15 m

C
18 m

D
28 m

Solution
Question 4
4 / -1

Weight of a body is maximum at

A
Moon

B
Poles of earth

C
Equator of earth

D
Centre of earth
Question 5
4 / -1

The acceleration due to gravity is g at a point distant r from the centre of earth of radius R. If r

A
g∝r

B
g∝r²

C
g∝r^–1

D
g∝ r^–2

Solution
Question 6
4 / -1

The density of a newly discovered planet is twice that of earth. The acceleration due to gravity at the surface of the planet is equal to that at the surface of the earth. If the radius of the earth is R, the radius of the planet would be

A
2R

B
4R

C
1/4 R

D
1/2 R

Solution
Question 7
4 / -1

If the density of the earth is doubled keeping its radius constant then acceleration due to gravity will be (g = 9.8 m/s²)

A
19.6 m/s²

B
9.8 m/s²

C
4.9 m/s²

D
2.45 m/s²

Solution
Question 8
4 / -1

If the value of \'g\' acceleration due to gravity, at earth surface is 10 m/s², its value in m/s² at the centre of theearth, which is assumed to be a sphere of radius R metre and uniform mass density is

A
5

B
10/R

C
10/2R

D
Zero
Question 9
4 / -1

Acceleration due to gravity on moon is 1/6 of the acceleration due to gravity on earth. If the ratio of densities of earth (ρ_e ) and moon (ρ_m) is (ρ_e / ρ_m) = 5/3 then radius of moon R_m in terms of R_e will be

A

B

C

D

Solution
Question 10
4 / -1

Weight of a body of mass m decreases by 1% when it is raised to height h above the earth\'s surface. If the body is taken to a depth h in a mine, change in its weight is

A
2% decrease

B
0.5% decrease

C
1% increase

D
0.5% increase

Solution