A given shaped glass tube having uniform cross section is filled with water and is mounted on a rotatable shaft as shown in figure. If the tube is rotated with a constant angular velocity ω when

Question

A given shaped glass tube having uniform cross section is filled with water and is mounted on a rotatable shaft as shown in figure. If the tube is rotated with a constant angular velocity ω when (A) water levels in both sections A and B go up (B) water level in section A goes up and that in B comes down (C) water level in section A comes down and that in B it goes up (D) water levels remain same in both sections

Tardigrade Admin · Accepted Answer

According to Bernoulli's principle P+(1/2) ρ v2= constant At the sides the velocity is higher, so the pressure is lower. But the pressure at a given horizontal level must be equal therefore the liquid rises at the sides to some height to compensate for this drop in pressure.

Q. A given shaped glass tube having uniform cross section is filled with water and is mounted on a rotatable shaft as shown in figure. If the tube is rotated with a constant angular velocity $ω$ when

water levels in both sections A and B go up

water level in section A goes up and that in B comes down

water level in section A comes down and that in B it goes up

water levels remain same in both sections

According to Bernoulli's principle
$P + \frac{1}{2} ρ v^{2} =$ constant
At the sides the velocity is higher, so the pressure is lower. But the pressure at a given horizontal level must be equal therefore the liquid rises at the sides to some height to compensate for this drop in pressure.

Q. A given shaped glass tube having uniform cross section is filled with water and is mounted on a rotatable shaft as shown in figure. If the tube is rotated with a constant angular velocity ω when