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1)

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=(n2)2u2

C) 2gH=nu2(n2)

D) gH=(n2)2u2

Answer:

Option C

Explanation:

 Time taken to reach the maximum height

             t1=u/g

 1532021401_m5.JPG

If t2 is the time taken to hit the ground,

i.e,    H=ut212gt2

 But               t2=nt1                  [Given]

So, H=unug12gn2u2g2

       H=nu2g12n2u2g

                    2gH=nu2(n2)