Question

please solve this question of class 11th from dimensions analysis?

Answer 1

H has unit m
G has unit m/s²
T has unit s
According to Given
Lhs = m
Rhs = m/s² * s = m/s
Lhs ≠ Rhs
To make it correct We need to multiply with 't' in Rhs
So new formula 1/2gt².

Answer 2

❤Good noon dear friend,

h= 1/2gt^2

Unit of height (h) = metre
1/2 is constant.
As g is used as acceleration then unit of g is m/s^2.

h= 1/2 gt^2
m = m/s^2 × t^2
m × s^2/ m = t ^2
t^2 = s^2
t = second

Unit or dimensional formula for time is second.