NDA - Gravitation Test 1414

Result

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Score
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Rank

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Question 1/5
1 / -0.33

Calculate the escape velocity on the surface of a planet of mass 7.5 X g, its radius 1.6 X m.
G = 6.67 X

Correct

Wrong

Skipped
A
2.6007 X

Correct

Wrong

Skipped
B
3.6007 X

Correct

Wrong

Skipped
C
2.5006 X

Correct

Wrong

Skipped
D
3.3005 X

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Solutions

Consider the given information

Escape velocity,
Question 2/5
1 / -0.33

The dimension of the gravitational field intensity is the same as that of

Correct

Wrong

Skipped
A
Velocity

Correct

Wrong

Skipped
B
Momentum

Correct

Wrong

Skipped
C
Acceleration

Correct

Wrong

Skipped
D
Force

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Solutions

Dimensions of Acceleration due to gravity=

Dimensions of Gravitational Field Intensity=

Both are having similar physical quantity, that’s why their dimensions are the same.
Question 3/5
1 / -0.33

What is the weight of a human body on the surface of the moon?

Correct

Wrong

Skipped
A

Correct

Wrong

Skipped
B

Correct

Wrong

Skipped
C

Correct

Wrong

Skipped
D

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Solutions

Mass of an object is the same on the earth as well as the moon, but the weight is different.

= =

Where is a mass of earth= kg

is the radius of earth= m

is mass of moon= kg

is the radius of moon= m

=

Therefore,

6

Hence,

Weight of a body on earth= 6 (weight of body on moon)

Weight of body on moon= (weight of body on earth). Hence, option C is correct.
Question 4/5
1 / -0.33

Which of the following is not a necessary condition for a
satellite to be classified as a geostationary satellite?

Correct

Wrong

Skipped
A
Its direction of rotation should be from west to east similar to earth’s and period of revolution around the earth should be equal to 24 hours.

Correct

Wrong

Skipped
B
It should revolve at a height of about 36000 km from the surface of the earth.

Correct

Wrong

Skipped
C
It should only be used for communication purposes.

Correct

Wrong

Skipped
D
It should revolve in an orbit concentric and coplanar with the equatorial plane of the earth.

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Solutions

Geostationary or synchronous satellites are those satellites that revolve around the earth with similar angular speed and the same direction as the earth does on it axis.

Geostationary satellites are used for a number of purposes like weather forecasting, studying outer space, mapping the earth, communication, detecting possible asteroid impacts, etc.

Communication is not their only use.

Hence C is the correct option.
Question 5/5
1 / -0.33

The dimensional formula of gravitational constant G, is

Correct

Wrong

Skipped
A
M^-1 L³ T^-2

Correct

Wrong

Skipped
B
M^-1 L³ T^-3

Correct

Wrong

Skipped
C
M^-2 L³ T^-2

Correct

Wrong

Skipped
D
M^-1 L² T^-2

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Solutions

F = M¹ L T^-2

= M⁰ L² T⁰

= M² L⁰ T⁰

G = M^-1 L³ T^-2

Question 1/5

2.6007 X

3.6007 X

2.5006 X

3.3005 X

Question 2/5

Velocity

Momentum

Acceleration

Force

Question 3/5

Question 4/5

Its direction of rotation should be from west to east similar to earth’s and period of revolution around the earth should be equal to 24 hours.

It should revolve at a height of about 36000 km from the surface of the earth.

It should only be used for communication purposes.

It should revolve in an orbit concentric and coplanar with the equatorial plane of the earth.

Question 5/5

M^-1 L³ T^-2

M^-1 L³ T^-3

M^-2 L³ T^-2

M^-1 L² T^-2

Question 1/5

2.6007 X

3.6007 X

2.5006 X

3.3005 X

Question 2/5

Velocity

Momentum

Acceleration

Force

Question 3/5

Question 4/5

Its direction of rotation should be from west to east similar to earth’s and period of revolution around the earth should be equal to 24 hours.

It should revolve at a height of about 36000 km from the surface of the earth.

It should only be used for communication purposes.

It should revolve in an orbit concentric and coplanar with the equatorial plane of the earth.

Question 5/5

M-1 L3 T-2

M-1 L3 T-3

M-2 L3 T-2

M-1 L2 T-2

M^-1 L³ T^-2

M^-1 L³ T^-3

M^-2 L³ T^-2

M^-1 L² T^-2