If sound travels at 350 m/s, the length of this horn is ( 256 x ) m. Find x (neglect end correction).

ν 0 = 2 l v ⇒ l = 2 × 256 350 = 0.68 m = 256 175 m x = 175 Printed key: 175.00.

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Physics - Sound Wave Question with Solution | TestHub

PhysicsSound WaveStanding waveMedium3 minQB

PhysicsMediumnumerical

Passage / Comprehension

A natural horn (trumpet with no valves) is similar to a pipe open at both ends. A musician plans to create a fundamental frequency of 256 Hz (middle C) using the horn.

If sound travels at $350$ m/s, the length of this horn is $(\frac{x}{256})$ m. Find $x$ (neglect end correction).

Answer:

175.00

Solution:

$ν_{0} = \frac{v}{2 l} \Rightarrow l = \frac{350}{2 \times 256} = 0.68$ m $= \frac{175}{256}$ m
$x = 175$
Printed key: 175.00.

Subject:PhysicsTopic:Sound WaveSubtopic:Standing wave

⏱ 3mℹ️ Source: QB

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