Question

For the given U-tube, if water inside one of the arms is displaced slightly down, then the resulting oscillation has a time period of

• A. $0.25\text{s}$
• B. $3.25\text{s}$
• C. $2.25\text{s}$
• D. $1.25\text{s}$

Answer 1

The correct option is D $1.25\text{s}$

We know that, time period of a liquid column performing SHM in a U-tube filled to a height $l$ is given by,

$T=2\pi \sqrt{\frac{l}{g}}$

Here $l=40\text{cm}=0.40\text{m,}g=10{\text{m/s}}^2$

$\Rightarrow T=2\pi \sqrt{\frac{0.40}{10}}$

$\Rightarrow T\approx 1.25\text{s}$