Density of mercury =13.6 g cm -3, density of a liquid =1.36 g cm -3. If the height of mercury barometer is 76 cm, then the height of the liquid barometer is

Question

Density of mercury =13.6 g cm -3, density of a liquid =1.36 g cm -3. If the height of mercury barometer is 76 cm, then the height of the liquid barometer is (A) 76 cm (B) 7.6 cm (C) 760 cm (D) 760 metre

Tardigrade Admin · Accepted Answer

ρ Hg ⋅ g ⋅ h Hg =ρi ⋅ g ⋅ hl hl=(ρ Hg ⋅ h Hg /ρl)=(13.6 × 76 cm /1.36) 760 cm

Q. Density of mercury $= 13.6 g c m^{- 3}$ , density of a liquid $= 1.36 g c m^{- 3}$ . If the height of mercury barometer is $76 c m$ , then the height of the liquid barometer is

76 cm

7.6 cm

760 cm

760 metre

$ρ_{H g} \cdot g \cdot h_{H g} = ρ_{i} \cdot g \cdot h_{l}$
$h_{l} = \frac{ρ _{H g} \cdot h _{H g}}{ρ _{l}} = \frac{13.6 \times 76 c m}{1.36}$
$760 c m$

Q. Density of mercury =13.6gcm−3, density of a liquid =1.36gcm−3. If the height of mercury barometer is 76cm, then the height of the liquid barometer is