HSC Science (General) 12th Board ExamMaharashtra State Board
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# A Hole is Drilled Half Way to the Centre of the Earth. a Body is Dropped into the Hole. How Much Will It Weigh at the Bottom of the Hole If the Weight of the Body on the Earth’S Surface is 350 N? - HSC Science (General) 12th Board Exam - Physics

ConceptAcceleration Due to Gravity and Its Variation with Altitude and Depth

#### Question

A hole is drilled half way to the centre of the Earth. A body is dropped into the hole. How much will it weigh at the bottom of the hole if the weight of the body on the Earth’s surface is 350 N?

#### Solution

Given :        W=mg=350N,d=R/2

To Find:      Weight (W_d)

Formula:     g_d=g[1-d/R]

Since W_d=mg[1-d/R]

W_d=350xx[1-(R/2)/R]

=350xx1/2=175

W_d=175N

The body would weigh 175 N half way down to the centre of the earth.

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#### APPEARS IN

2016-2017 (March) (with solutions)
Question 2.5 | 2.00 marks
Solution A Hole is Drilled Half Way to the Centre of the Earth. a Body is Dropped into the Hole. How Much Will It Weigh at the Bottom of the Hole If the Weight of the Body on the Earth’S Surface is 350 N? Concept: Acceleration Due to Gravity and Its Variation with Altitude and Depth.
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