A boat having length $3 m$ and breath $2 m$ is floating on a lake. The boat sinks by $1 c m$ when a man gets on it. The mass of man is :

12 K g

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60 K g

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72 K g

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96 K g

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Solution

The correct option is B $60 K g$
$d e n s i t y o f w a t e r f = 1000 k g / m^{3}$

$F = m g = 10 m$ $; h = 1 c m = 10^{- 2} m$

$A = 3 m \times 2 m = 6 m^{2}$

$E x t r a p r e s s u r e = f g h$

$\frac{F}{A} = f g h$

$\frac{10 m}{6} = 1000 \times 10^{- 2} \times 10 \Rightarrow m = 60 k g$

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