JEE Mains · Physics · STD 11 - 14. waves and sound
The pressure wave, \(P = 0.01\,sin\,[1000t -3x]\,Nm^{-2},\) corresponds to the sound produced by a vibrating blade on a day when atmospheric temperature is \(0\,^oC.\) 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 \(336 \,ms^{-1}\). Approximate value of \(T\) is .... \(^oC\)
- A \(12\)
- B \(11\)
- C \(15\)
- D \(4\)
Answer & Solution
Correct Answer
(D) \(4\)
Step-by-step Solution
Detailed explanation
Speed of wave from wave equation \(v=-\frac{(\text { coeffecient of } t)}{(\text { coeffecient of } x)}\) \(v=-\frac{1000}{(-3)}=\frac{1000}{3}\) since speed of wave \(\propto \sqrt{T}\) \(\mathrm{So}=\frac{1000}{\frac{3}{336}}=\sqrt{\frac{273}{\mathrm{T}}}\)…
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