Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
Home  >>  JEEMAIN and AIPMT  >>  Physics  >>  Class11  >>  Oscillations
0 votes

Sinusoidal waves 6 cm in amplitude are to be transmitted along a string that has a linear mass density of $\;4 \times 10^{-2} Kg/m\;$ . If the source can deliver a maximum power of 400 W and the string is under a tension of 100 N , what is the highest vibrational frequency at which the source can operate


Can you answer this question?

1 Answer

0 votes
Answer : (d) $\;37.5\;s^{-1}$
Explanation :
Velocity (v) = $\;\sqrt{\large\frac{T}{\mu}}=\sqrt{\large\frac{100}{4 \times 10^{-2}}}=5 \times 10=50\;m/s$
Power (P) = $\;\large\frac{\mu w^2 A^2 v}{2}$
$400=\large\frac{4 \times 10^{-2} \times w^2 \times 6 \times 10^{-2} \times 6 \times 10^{-2} \times 50 \times 50}{2}$
$w^2=\large\frac{2\times 10^{6}}{36}$
$w=\large\frac{\sqrt{2} \times 10^{3}}{6}$
vibrational frequency = $\;\large\frac{w}{2 \pi}=\large\frac{\sqrt{2} \times 10^3}{2 \pi \times 6}$
answered Mar 8, 2014 by yamini.v

Related questions

Ask Question
student study plans
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App