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Buoyant Force

A body weigh ...

Question

A body weigh $50 g$ in air and $40 g$ in water. How much would it weight in a liquid of specific gravity $1.5$

A

65 g

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B

45 g

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C

30 g

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D

35 g

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Solution

The correct option is D $35 g$
Given,
$W_{a} = 50 g$
$W_{w} = 40 g$
Specific gravity $s = 1.5$
Let $W_{l} = ?$ Weight in a liquid
We know that
$s = \frac{W_{a} - W_{l}}{W_{a} - W_{w}}$
$1.5 = \frac{50 - W_{l}}{50 - 40}$
$W_{l} = 35 g$
The correct option is D.

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