The equation of a longitudinal stationary wave in a metal rod is given by, y = 0.002 sin 
sin 1000 πt, where x & y are in cm and t is in seconds. If maximum change in pressure (the maximum tensile stress) at the point x = 2 cm is 
dyne/cm 2 , Find n. Given young's modulus of the material is 
dynes/cm 2 .
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION
(8)
Strain for longitudinal wave = 
Stress = Y strain = Y 
for max stress, 
should be max
y = 0.002 sin 
sin 1000 πt
= 0.002 
cos 
sin 1000 πt
x = 2, max 
= 0.002 
cos 
= – 0.002 
× 
stress = 
= 
= 
× 10 –3 dyne/cm 2
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
When we clap our hands, the sound produced is best described by
Here p denotes the change in pressu…
Consider the superposition of N harmonic waves of equal amplitude and frequency. If N is a very lar…
Two speakers A and B, placed 1m apart, each produce sound waves of frequency 1800 Hz in phase. A de…
A closed pipe resonates at its fundamental frequency of 300 Hz. Which one of the following statemen…
There is a set of four tuning forks, one with the lowest frequency vibrating at 550 Hz. By using an…
Two sound sources produce progressive waves given by y 1 =12 cos 100πt and y 2 = 4 cos 102πt near t…