Question

A U-tube of uniform cross-section contains mercury
upto a height h in either limb. The mercury in one
limb is depressed a little and then released. Obtain
an expression for the time period of oscillation
assuming that T depends on h, p and g.​

Answer 1

Answer:

an expression for the time period of oscillation

assuming that T depends on h, p and g.​

Explanation:

the pressure at the bottom will be the same due to both the limbs.

Hence pressure at bottom

=> pw*(h-x)*g + pm*g*(x) = p*mg*(h+y)

=> pwgh – pwgx + pmgx = pmgh + pmgy

=> y = (pw*(h-x)*g + pm*g*(x) – pmgh)/(pmg)

Answer 2

Answer:

T=K√h/g..................this is the perfect answer........please encourage me with your opinions.............stay happy

Explanation: