Gravitation Test

Result

Gravitation Test - 84

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Weekly Quiz Competition

Question 1
1 / -0

If the acceleration due to gravity at a height 'h' from the surface of the earth is $$96$$% less than its value on the surface, then h= ______R where R is the radius of the earth.

A
$$1$$

B
$$2$$

C
$$3$$

D
$$4$$

Solution
Question 2
1 / -0

The diameter of a planet is four times that of the earth and its mean density is equal to that of earth. If the acceleration due to gravity on the earth surface is $$9.8 m/s$$ the acceleration due to gravity on the planet surface is

A
$$4.9 ms^{-2}$$

B
$$9.8 ms^{-2}$$

C
$$19.6 ms^{-2}$$

D
$$39.2 ms^{-2}$$

Solution
Question 3
1 / -0

The escape velocity of a particle of mass $$m$$ varies at

A
$$m^2$$

B
$$m$$

C
$$m^0$$

D
$$m^3$$
Question 4
1 / -0

At what height from the surface of the earth will the value of acceleration due to gravity be reduced by $$36$$% from the value at the surface ? (Given radius of earth $$= 6400\, km$$)

A
$$1600\, km$$

B
$$1200\, km$$

C
$$1000\, km$$

D
$$800\, km$$

Solution
Question 5
1 / -0

A stone weighs $$100N$$ on the surface of the earth. The ratio of its weight at a height of half the radius of the earth to its weight at a depth of half the radius of the earth will be approximately

A
$$2.6$$

B
$$2.2$$

C
$$1.8$$

D
$$0.9$$

Solution
Question 6
1 / -0

If the radius of the earth is half of its present value and its mass 1/$$8^{ th }$$ of the present mass , the 'g' value would have been reduced to

A
$$\dfrac { 1 }{ 8 } g$$

B
$$\dfrac { 1 }{ 2 } g$$

C
$$\dfrac { 1 }{ 3 } g$$

D
g

Solution
Question 7
1 / -0

The escape velocity on the surface of earth is V. If body is thrown with twice this this velocity then what will be its velocity after escaping the gravitational field

A
$$V_{e}$$

B
$$\sqrt {2} V_{e}$$

C
$$\sqrt {3} V_{e}$$

D
$$\cfrac {1}{2}V_{e}$$

Solution
Question 8
1 / -0

The acceleration due to gravity slightly below and above the surface of the earth (radius R) at distances d and h, respectively. varies with the distance the centre as

A

B

C

D

Solution
Question 9
1 / -0

The acceleration due to gravity at a height $$\frac { R }{ 20 } $$ from the surface is $$9ms^{-2}$$. Its value at a point, at an equal distance below the surface of the earth is

A
$$8.563ms^{-2}$$

B
$$8.832ms^{-2}$$

C
$$9.5ms^{-2}$$

D
$$9.242ms^{-2}$$

Solution
Question 10
1 / -0

A body is thrown from the surface of the earth with a speed of $$\sqrt {GM/R} (R =$$ radius and $$M =$$ mass of earth). It rises to a maximum height of

A
$$R/2$$

B
$$R$$

C
$$4R$$

D
$$2R$$

Solution