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Waves Part 1

Section: Physics

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Question : 53 of 100

Marks: +1, -0

The pressure wave,

P=0.01 \sin \left[1000 t-3 x \right] \text{N m}^{-2}

, corresponds to the sound produced by a vibrating blade on a day when atmospheric temperature is

0^{\circ}\text{C}.

On some other day when temperature is T, the speed of sound produced by the same blade and at the same frequency is found to be

336\text{ m/s}

. Approximate value of T is:

[9 Apr 2019 Shift 1]

12°C
11°C
15°C
4°C

Solution:

V_{\text{sound}} \propto \sqrt{T}

\frac{336 \times 3}{1000} = \sqrt{\frac{T_{2}}{273}}

T_{2} = 277\text{ K}

T_{2} = 4^{\circ}\text{C}

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