Sound waves travel at 350 ~m / s through a warm air and at 3500 ~m / s through brass. The wavelength of a 700 ~Hz acoustic wave as it enters brass from warm air

Correct answer: B. increases by a factor 10 Velocity of sound y=n λ aligned & (y_1)/(y_2)=(n_1 λ_1)/(n_2 λ_2) (but n_1=n_2 ) & λ_2=λ_1 (y_2)/(y_1)=λ_1 × 10 & λ_2=10 λ_1 aligned

NEET 2011

Exam: NEET
Year: 2011
Subject: Physics
Chapter: Waves and Sound

NEET 2011 · Physics · Waves and Sound

Sound waves travel at 350 ~m / s through a warm air and at 3500 ~m...

Sound waves travel at

350 \mathrm{~m} / \mathrm{s}

through a warm air and at

3500 \mathrm{~m} / \mathrm{s}

through brass. The wavelength of a

700 \mathrm{~Hz}

acoustic wave as it enters brass from warm air

Options

Aincreases by a factor 20
Bincreases by a factor 10
Cdecreases by a factor 20
Ddecreases by a factor 10

Correct answer

B. increases by a factor 10

Step-by-step solution

Velocity of sound

y=n \lambda

\begin{aligned} & \frac{y_1}{y_2}=\frac{n_1 \lambda_1}{n_2 \lambda_2} \quad \text{ (but } n_1=n_2 \text{ ) } \\ & \lambda_2=\lambda_1 \frac{y_2}{y_1}=\lambda_1 \times 10 \\ & \lambda_2=10 \lambda_1 \end{aligned}

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