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Q.

A stone is released from a height H  reaches  the ground in n seconds. The height of stone  after n2 seconds is

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a

3H4

b

H2

c

H4

d

4H3

answer is A.

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Detailed Solution

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given time of descent =t== n;   height from the ground=h =H

we know, s=ut + 12at2 substitute s=h; a=g=acceleration due to gravity; time of descent=t=2hg substitute  t=n;    h=H

    n=2Hg n α H        H=12gn2-(1)
Distance travelled in n2 sec is
we know, for freely falling body,u=0 and displacement=S=12gt2 S=12gn22 S=12gn24 substitute eqution (1) S=H4---(2) 
The height from the ground 
H'=HSsubstitute equation (2)H'=HH4H'=3H4=height from the ground  
 

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