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Q.

A barometer is constructed using a liquid (density = $760 kg / m^{3}$ ). What would be the height of the liquid column, when a mercury barometer reads 76 cm? (density of mercury = $13600 kg / m^{3}$ )

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a

1.36 m

b

13.6 m

c

0.76 m

d

136 m

answer is C.

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Detailed Solution

Pressure, P = hdg
Reading of mercury barometer, h = 76 cm
Reading of liquid barometer = h'

$h^{'} d_{ℓ} g = {hd}_{hg} g$

$\begin{aligned} h^{'} = \frac{76 \times 13600}{760} = 1360 cm \\ = 13 .6 m \end{aligned}$

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A barometer is constructed using a liquid (density = 760 kg/m3). What would be the height of the liquid column, when a mercury barometer reads 76 cm? (density of mercury = 13600 kg/m3)