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a liquid of density 1.70g/ml is filled in the barometer , in place of mercury .what should be the length of liquid column , if another barometer filled with mercury , is measuring 75cm pressure ?

a liquid of density 1.70g/ml is filled in the barometer , in place of mercury .what should be the length of liquid column , if another barometer filled with mercury , is measuring 75cm pressure ?

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Grade:11

1 Answers

Arun
25750 Points
4 years ago
We know, for liquid barometer ,
pressure is given , P = 70cm of Hg
e.g., P = 0.70 m
density of Mercury (Hg) liquid , ρ = 13.6 g/cm³
e.g., ρ = 13.6 kg/m³
and g = 9.8 m/s²
so, P = hρg = 0.70× 13.6 × 10³ × 9.8
= 93296 Pa
 
now, a/c to question,
density of liquid , ρ' = 3.4 g/cm³=3.4 × 10³ kg/m³
so, P = P' = h'ρ'g
=> 93296 = h' × 3.4 × 10³ × 9.8
=> h' = 93296/(3.4 × 10³ × 9.8)
= 2.8 m
 
so, height = 2.8 m
 

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