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PhysicsMediumNumerical2024 · 04 Apr Shift 2

Q23.Mercury is filled in a tube of radius 2 cm up to a height of 30 cm. The force exerted by mercury on the bottom of the tube is _____ N. (Given, atmospheric pressure = 105Nm−2 , density of mercury = 1.36 × 104 kg m− 3, g = 10 m s−2, π = 227 )

What This Question Tests

This question requires calculating the total pressure at the bottom of a liquid column, including atmospheric pressure, and then finding the force exerted by the fluid on the base.

Concepts Tested

Pressure in fluidsAtmospheric pressureForce due to pressure

Formulas Used

P_total = P_atm + ρgh

F = P_total × A

A = πr^2

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