A hollow pipe of length $0.8 m$ is closed at one end. At its open end a $0.5 m$ long uniform string is vibrating in its second harmonic and it resonates with the fundamental frequency of the pipe. If the tension in the wire is $50 N$ and the speed of sound is $320 m s^{- 1}$ , the mass of the string is

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

$10 g$

$20 g$

$5 g$

$40 g$

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

$\frac{v_{s}}{4 L_{P}} = \frac{2}{2 l_{S}} \sqrt{\frac{T}{μ}} \Rightarrow \frac{320}{4 \times 0.8} = \frac{1}{0.5} \sqrt{\frac{50}{μ}} \Rightarrow μ = \frac{1}{50}$
Mass of string, $m = μ l_{S} = \frac{1}{50} \times 0.5 = 0.01 k g = 10 g$

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th

🔥 Start Your JEE/NEET Prep at Just ₹1999 / month - Limited Offer! Check Now!

Get Expert Academic Guidance – Connect with a Counselor Today!