Question

If a body weighing 40 kg-wt is taken inside the earth to a depth to `1/2` th radius of the earth, then the weight of the body at that point is ____________.

Options

• 40 kg-wt

• 20 kg-wt

• 30 kg-wt

• zero

Answer 1

If a body weighing 40 kg-wt is taken inside the earth to a depth to `1/2` th radius of the earth, then the weight of the body at that point is 20 kg-wt.

Explanation:

`"g'" = "g" (1 - "h"/"R") "As h" = "R"/2 Rightarrow "h"/"R" = 1/2`

`"g'" = "g" (1/2)`

`Rightarrow "W'" = "mg'" = "mg" (1/2)`

` = 40 (1/2)`

` = 20  "kg-wt"`