Question

If the value of $g$ at a place is decreased by $2\%$. The barometric height of the mercury

• A. Increases by $2\%$
• B. Decreases by $2\%$
• C. Remains unchanged
• D. Sometime increases and sometime decreases

Answer 1

Answer: (A)

Increases by $2\%$

We know that,

$P=h\rho g$

Then,

$h=\frac{P}{\rho g}$

So, $h\propto \frac{1}{g}$

If the value of $g$ decreased by $2\%$ then $h$ will increase by $2\%$.