Gravitation Test

Result

Gravitation Test - 63

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Weekly Quiz Competition

Question 1
4 / -1

The radius of the earth is 6400 km and g = 10 m/sec².In order that a body of 5 kg weighs zero at the equator, the angular speed of the earth is

A
1/80 radian/sec

B
1/400 radian/sec

C
1/800 radian/sec

D
1/1600 radian/sec

Solution
Question 2
4 / -1

The value of `g\' at a particular point is 9.8 m/s².Suppose the earth suddenly shrinks uniformly to half its present size without losing any mass. The value of `g\' at the same point (assuming that the distance of the point from the centre of earth does not shrink) will now be

A
4.9 m/sec²

B
3.1 m/sec²

C
9.8 m/sec²

D
19.6 m/sec²

Solution
Question 3
4 / -1

If R is the radius of the earth and g the acceleration dueto gravity on the earth\'s surface, the mean density of the earth is

A
4πG / 3gR

B
3πR / 4gG

C
3g / 4πRG

D
πRG / 12G

Solution
Question 4
4 / -1

The radii of two planets are respectively R₁ and R₂ and their densities are respectively ρ₁ and ρ₂. The ratio of the accelerations due to gravity at their surfaces is

A

B

C

D

Solution
Question 5
4 / -1

Spot the wrong statement :
The acceleration due to gravity y decreases if

A
We go down from the surface of the earth towards its centre

B
We go up from the surface of the earth

C
We go from the equator towards the poles on the surface of the earth

D
The rotational velocity of the earth is increased
Question 6
4 / -1

A spring balance is graduated on sea level. If a body is weighed with this balance at consecutively increasing heights from earth\'s surface, the weight indicated by the balance

A
Will go on increasing continuously

B
Will go on decreasing continuously

C
Will remain same

D
Will first increase and then decrease
Question 7
4 / -1

The value of g on the earth\'s surface is 980 cm/sec². Its value at a height of 64 km from the earth\'s surface is
(Radius of the earth R = 6400 kilometers)

A
960.40 cm/sec²

B
984.90 cm/sec²

C
982.45 cm/sec²

D
977.55 cm/sec²

Solution
Question 8
4 / -1

Choose the correct statement from the following :
Weightlessness of an astronaut moving in a satellite is a situation of

A
Zero g

B
No gravity

C
Zero mass

D
Free fall
Question 9
4 / -1

If the earth rotates faster than its present speed, the weight of an object will

A
Increase at the equator but remain unchanged at the poles

B
Decrease at the equator but remain unchanged at the poles

C
Remain unchanged at the equator but decrease at the poles

D
Remain unchanged at the equator but increase at the poles

Solution
Question 10
4 / -1

If the earth suddenly shrinks (without changing mass) to half of its present radius, the acceleration due to gravity will be

A
g/2

B
4 g

C
g/4

D
2 g

Solution