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  • Find the percentage decrease in weight of a body when taken 16km below the surface (R=6400km)Option: 1 0.25<str

Find the percentage decrease in weight of a body when taken 16km below the surface (R=6400km)

Option: 1

0.25


Option: 2

0.50


Option: 3

0.75


Option: 4

1.0


Answers (1)

best_answer

As we learnt

 

Absolute decrease in value of 'g' -

 

\frac{\Delta g}{g}=\frac{g-g'}{g}=\frac{d}{R}

g'\rightarrow Value at depth

d\rightarrow depth

 

- wherein

Value of g decrease with depth.

 

 g'=g\left ( 1-\frac{d}{R} \right ),,,,d=16km

g'=g\left ( 1-\frac{16}{6400} \right )=g\left ( 1-\frac{1}{400} \right )

g'=g\frac{399}{400}

\frac{g-g'}{g}=\frac{1}{400}

% decrease in weight = \frac{mg-mg'}{mg}*100

=\frac{g-g'}{g}*100

=\frac{1}{400}*100= \frac{1}{4}= 0.25%

 

 

Posted by

Rakesh

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