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JEE Advanced
Exam
JEE Advanced
Subject
Physics
Chapter
Mechanical Properties of Solids

JEE Advanced · Physics · Mechanical Properties of Solids

The equation of a longitudinal stationary wave in a metal rod is...

The equation of a longitudinal stationary wave in a metal rod is given by, y=0.002sin⁡πx3y=0.002 \sin \frac{\pi x}{3}. sin⁡1000πt\sin 1000 \pi \mathrm{t} where x and y are in cm and t is in seconds. Maximum change in pressure (the maximum tensile stress) at the point x=2 mx=2 \mathrm{~m}, (if young's modulus of the material is 38πdynes/cm2\frac{3}{8 \pi} \mathrm{dynes} / \mathrm{cm}^2 ) is 1p×10−3dy/cm2\frac{1}{p} \times 10^{-3} \mathrm{dy} / \mathrm{cm}^2. Find p

Correct answer

8

Step-by-step solution

Maximum change in pressure  Maximum tensile stress = YAK =38π×10−3×π3=18×10−3 dyne /cm2\begin{aligned} & \text { Maximum tensile stress }=\text { YAK } \\ & =\frac{3}{8 \pi} \times 10^{-3} \times \frac{\pi}{3} \\ & =\frac{1}{8} \times 10^{-3} \text { dyne } / \mathrm{cm}^2 \end{aligned}
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