A) 1000 N
B) 500 N
C) 250 N
D) 125 N
Correct Answer: C
Solution :
Key Idea: Value of acceleration due to gravity decreases on going below the surface of the earth. Weight \[\left( w \right)\] of a body is defined as product of mass \[\left( m \right)\] and acceleration due to gravity \[\left( g \right)\] \[w=mg\] The value of \[g\] below the surface of earth at a distance \[h\] is given by \[g'=g\left( 1-\frac{h}{R} \right)\] \[\Rightarrow \] \[w'=w\left( 1-\frac{h}{R} \right)\] Given, \[h=\frac{R}{2},\,w=500\,N\] \[\therefore \] \[w'=500\left( 1-\frac{1}{2} \right)\] \[=\frac{500}{2}=250\,N\] Note : Value of \[g\] also decreases ongoing above the surface of earth, as follows \[g'=g\left( 1-\frac{21}{R} \right)\]You need to login to perform this action.
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