When a ball bounces, it rises to $$\frac{2}{3}$$ of the height from which it fell. If the ball is dropped from a height of 36 m, how high will it rise at the third bounce ?

A. $$10\frac{1}{3}$$ m

B. $$10\frac{2}{3}$$ m

C. $$12\frac{1}{3}$$ m

D. $$12\frac{2}{3}$$ m

Answer: Option B

Solution(By Examveda Team)

Ball is dropped from the height of 36 m when the ball will rise at the third bounce
∴ Required height :
$$\eqalign{ & = \frac{2}{3} \times \frac{2}{3} \times \frac{2}{3} \times 36 \cr & = \frac{{32}}{3} \cr & = 10\frac{2}{3}\,m \cr} $$