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Questions  

From a tower of height H, a particle is thrown vertically upwards with a speed u. The time taken by the particle to hit the ground, is n times that taken by it to reach the highest point of its path. The relation between H, u and n is

a
2gH=n2u2
b
gH=(n-2)2u2
c
2gH=nu2(n-2)
d
gH=(n-2)2u2

detailed solution

Correct option is C

Time taken to reach the maximum height, t1=ugIf t2 is the time taken to hit the ground, theni.e.-H=ut2-12gt22Butt2=nt1 [Given]So,-H=unug-12gn2u2g2-H=nu2g-12n2u2g⇒2gH=nu2(n-2)

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