If the temperature of the gaseous medium drops by $1\%$, the velocity of sound in that medium
If the temperature of the gaseous medium drops by $1\%$, the velocity of sound in that medium
increases by $5\%$
remains unchanged
decreases by $0.5\%$
decreases by $2\%$
Solution
Velocity of sound in gaseous medium,
$v = \sqrt{\frac{\gamma RT}{M}}$ or $v \propto T^{1/2}$
For small percentage change,
% decrease in $v = \frac{1}{2} (\text{\% decrease in } T) = \frac{1}{2}(1\%) = 0.5\%$