At what depth from earth's surface does the acceleration due to gravity becomes 1 4 times that of its value at surface ?

The acceleration due to gravity at the surface of earth is g We know that, The variation of g With depth is, g d = g 1 - d R According to condition given, g d = 1 4 g Now, g d = g 4 ⇒ g 1 - d R = g 4 ⇒ 4 R - 4 d = R ⇒ d = 3 R 4 So, the relation is d = 3 4 R .

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Beta Question Bank for Medical: Physics>Chapter 11 - Gravitation>BEGINNER'S BOX - 2>Q 10

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Earn 100

At what depth below the surface does the acceleration due to gravity becomes $70 %$ of its value on the surface of the earth?

Important Questions on Gravitation

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Beta Question Bank for Medical: Physics>Chapter 11 - Gravitation>BEGINNER'S BOX - 2>Q 11

At what depth from earth's surface does the acceleration due to gravity becomes

\frac{1}{4}

times that of its value at surface ?

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Beta Question Bank for Medical: Physics>Chapter 11 - Gravitation>BEGINNER'S BOX - 2>Q 12

If earth is assumed to be a sphere of uniform density then plot a graph between acceleration due to gravity (g) and distance from the centre of earth.

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Beta Question Bank for Medical: Physics>Chapter 11 - Gravitation>BEGINNER'S BOX - 3>Q 1

The gravitational acceleration on the surface of earth is g. Find the increase in potential energy in lifting an object of mass m to a height equal to the radius of earth.

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Beta Question Bank for Medical: Physics>Chapter 11 - Gravitation>BEGINNER'S BOX - 3>Q 2

In a certain region of space gravitational field is given by I = – (K/r) (Where r is the distance from a fixed point and K is constant). Taking the reference point to be at r = r₀ with V = V₀. Find the potential at a distance r.

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Beta Question Bank for Medical: Physics>Chapter 11 - Gravitation>BEGINNER'S BOX - 3>Q 3

Two masses of 10² kg and 10³ kg are separated by 1 m distance. Find the gravitational potential at the mid point of the line joining them.

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Beta Question Bank for Medical: Physics>Chapter 11 - Gravitation>BEGINNER'S BOX - 3>Q 4

The magnitude of the intensity of the gravitational field at a point situated at a distance