A barometric liquid has density 800 kg/m³. Atmospheric pressure is equal to the pressure produced by a 76 cm mercury column of density 13600 kg/m³. The height of the lighter barometric liquid required to balance the same atmospheric pressure is N cm. Find N.
Physics · Fluid Mechanics · question based on variation of pressure
JEE Mains NEET JEE Advanced

Question

A barometric liquid has density 800 kg/m³. Atmospheric pressure is equal to the pressure produced by a 76 cm mercury column of density 13600 kg/m³. The height of the lighter barometric liquid required to balance the same atmospheric pressure is N cm. Find N.

Physics · Fluid Mechanics · question based on variation of pressure

G1 Physics · Accepted Answer

For the same atmospheric pressure, ρ(Hg)g h(Hg) = ρ(liquid)g h. Cancel g: h = ρ(Hg)h(Hg)/ρ(liquid). Therefore, h = 13600×76/800 = 17×76 = 1292 cm. Hence, N = 1292.