A rectangular boat floating in water has length 4 m and breadth 1.5 m. A person gets into the boat as a result of weight, the boat sinks by 2 cm. Mass of the person is :

80 kg

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100 kg

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120 kg

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92 kg

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Solution

The correct option is C 120 kg
Given,
$l = 4 m$
$b = 1.5 m$
$h = 2 c m = 0.02 m$
Volume, $V = l b h$
$V = 4 \times 1.5 \times 0.02 = 0.12 m^{3}$
Density of water, $ρ = 1000 k g / m^{3}$
Mass of the person, $M = ρ V$
$M = 1000 \times 0.12$
$M = 120 k g$
The correct option is C.

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