A block at rest slides down the incline

Question

A block at rest slides down a smooth  inclined plane which makes the an angle 60degree with the vertical and it reaches the ground in  t₁ seconds . Another block is dropped vertically from the same  point and reaches  the ground in t_{2   ^{then the ratio of t}1} : t₂ 

A) 1:2

B) 2:1

C)1:3

D)3:1

Answer 1

No Option is correct

If h be the height of the inclined plane of length l.

h =1/2gt₂^2      and

h=lsin30

Combining we get

lsin30=1/2gt₂^2

Again 

l=1/2gsin30t₁^2

(t₁/t₂)^2*1/2=1/2

=>t₁/t₂=1/1