NEET 2021 Physics and Chemistry

Suppose θ is inclination of inclined plane acceleration along inclined plane a=g‌sin‌θ
Sn= distance travelled by object during nth second.
Initial speed u=0
By equation of uniformly accelerated motion
Sn=u+

a

2

(2n−1)
Sn=0+

g‌sin‌θ

2

(2n−1) =

g‌sin‌θ

2

(2n−1) ........(i)
Distance travelled during (n+1)th second.
Sn+1=0+

g‌sin‌θ

2

[2(n+1)−1] =

g‌sin‌θ

2

(2n+1) ........(ii)
Dividing equations (i) and (ii)

Sn

Sn+1

=

(2n−1)

(2n+1)