A container is filled with liquid up to $20 c m$ . The pressure at the bottom of the liquid column is $10 P a$ . Find the density of the liquid.

GIven: Acceleration due to gravity, g = $10 m / s^{2}$ .

$0.5 k g / m^{3}$

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$1 k g / m^{3}$

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$5 k g / m^{3}$

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$2 k g / m^{3}$

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Solution

The correct option is C
$5 k g / m^{3}$

Given,
Pressure at bottom $P$ = $10 P a$
Height of liquid column $h$ = $20 c m$ = $0.2 m$
Let, density of liquid = $ρ$

We know $P$ = $ρ g h$
$10 P a = ρ \times 10 m / s^{2} \times 0.2 m$
$ρ$ = $5 k g / m^{3}$

So, density of the liquid = $5 k g / m^{3}$ .

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A container is filled with liquid up to 20 cm. The pressure at the bottom of the liquid column is 10 Pa. Find the density of the liquid. GIven: Acceleration due to gravity, g = 10 m/s2.

The correct option is C 5 kg/m3 Given, Pressure at bottom P = 10 Pa Height of liquid column h = 20 cm = 0.2 m Let, density of liquid = ρ We know P = ρgh 10 Pa = ρ×10 m/s2×0.2 m ρ = 5 kg/m3 So, density of the liquid = 5 kg/m3.

A container is filled with liquid up to $20 c m$ . The pressure at the bottom of the liquid column is $10 P a$ . Find the density of the liquid.

GIven: Acceleration due to gravity, g = $10 m / s^{2}$ .