Question

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 relative between ` H, u and n` is :
A. `2gH=nu^(2)(n-2)`
B. `gH=(n-2)u^(2)`
C. `2gH=n^(2)u^(2)`
D. `g H=(n-2)^(2)u^(2)`

Answer 1

Correct Answer - 1
Time to reach highest point `=t=u/g`
time to reach ground`=nt`
`S=ut+1/2 at^(2)`
`-H=u(nt)-1/2 g(nt)^(2)`
`rArr 2gH=nu^(2)(n-2)`