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Q.

Two blocks $A$ and $B$ float in water. If $A$ floats with $1 / 3$ of its volume immersed and $B$ floats with $2 / 5$ of its volume immersed, then the ratio of their densities is

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a

$\frac{1}{5}$

b

$\frac{2}{15}$

c

$\frac{2}{3}$

d

$\frac{5}{6}$

answer is C.

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Detailed Solution

$v_{A} d_{A} = \frac{1}{3} v_{A} d_{l} - - - - (1)$

$v_{B} d_{B} = \frac{2}{5} v_{B} d_{l} - - - - (2)$

divide(1) by (2)

$\frac{d_{A}}{d_{B}} = \frac{5}{6}$

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Two blocks A and B float in water. If A floats with 1/3 of its volume immersed and B floats with 2/5 of its volume immersed, then the ratio of their densities is