Question

Points P, Q and R are in a vertical line such that PQ = QR =h and P is the highest point. A ball at P is allowed to fall freely with initial velocity zero. t1 and t2 is time taken from PQ and QR, then which below given statements are correct 

2 option are correct

t1>t2 t1 : t2 = 1/✓2

t1<t2 t1: t2 = 1 : (✓2-1)

t1>t2 t1: t2 = 1 : (✓2-1)

t1<t2 t1 : t2 = 1/✓2



​

Answer 1

Answer

Applying second equation of motion,

For P to Q−

h=0+

2

1

gt

1

2

⟹t

1

=

g

2h

For P to R−

t

2

=

g

2(2h)

Time taken to descent PQ=t

1

=

g

2h

Time taken to descent QR=t

2

−t

1

=

g

2h

(

2

−1)

Ratio =1:(

2

−1)