Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
A stretched string fixed at both ends has ‘m’ nodes, then the length of the string will be
PhysicsWaves and SoundMHT CETMHT CET 2019 (Shift 2)
Options:
  • A m-1λ2
  • B m+1λ2
  • C mλ2
  • D m-2λ2
Solution:
2570 Upvotes Verified Answer
The correct answer is: m-1λ2
For p number of loops in stretched string, the length is given by
l=pλ2 … (i)
As, number of harmonics = number of loops = number of anti-nodes = p …. (ii)
Also, number of nodes = number of anti-nodes + 1
Here, number of nodes = m
Number of anti-nodes = m-1 from Eq. (ii)
p=m-1
Putting this value of p in Eq. (i), we get
l=m-1λ2

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.