If value of acceleration due to gravity at a place decreases by $3 %$ then find the change in the height of mercury in a barometer at that place.

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Solution

Density remains same
Gravity get low by $3$ percent so new gravity will be $97 / 100 g$ now pressure must remain same in barometer and pressure $= h d g$ but now pressure becomes $h d$ $97 / 100 g$ so $h d g = h d$ $97 / 100 g$ so new height will be $100 / 97$ of initial height $.$

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If value of acceleration due to gravity at a place decreases by 3% then find the change in the height of mercury in a barometer at that place.

Density remains same Gravity get low by 3 percent so new gravity will be 97/100g now pressure must remain same in barometer and pressure=hdg but now pressure becomes hd 97/100g so hdg=hd 97/100g so new height will be 100/97 of initial height.

If value of acceleration due to gravity at a place decreases by $3 %$ then find the change in the height of mercury in a barometer at that place.

Density remains same
Gravity get low by $3$ percent so new gravity will be $97 / 100 g$ now pressure must remain same in barometer and pressure $= h d g$ but now pressure becomes $h d$ $97 / 100 g$ so $h d g = h d$ $97 / 100 g$ so new height will be $100 / 97$ of initial height $.$