A wooden block with a coin placed on its top, floats in water as shown in figure.

The distance l and h are shown in the figure. After sometime, the coin falls into the water. Then,

Options

A. l decreases and h increases
B. l increases and h decreases
C. Both l and h increase
D. Both l and h decrease

Answer

D

Explanation

l will decrease, because the block moves up. h will decrease
`because" "V_(1)=("mass of coin")/("density of coin"(d_c))`
But when coin was on the block it was displacing vol. of water `(V_2)` whose weight is equal to weight of coin.
`therefore" "V_(2)=("mass of coin")/("density of water"(d_w))" ""Since"d_(c)gtd_(w)rArrV_(1)ltV_(2)`