Question

If rms speed is increased 20% and volume is kept constant, then increase in pressure is

Hint:

For small percentage changes (<10%), you can use approximation: if \( y \propto x^n \), then \( \%\Delta y \approx n \times \%\Delta x \). Here, \( P \propto v^2 \), so \( 20\% \) change in \( v \) roughly gives \( 2 \times 20\% = 40\% \) change in \( P \). For exact values, square the multiplier: \( 1.2^2 = 1.44 \Rightarrow +44\% \).

Answer 1