A string of length 1 m and mass is under tension T . when the string vibrates, two successive harmonics are found to occur at frequencies 750 Hz and 1000 Hz. The value of tension T is ____ Newton.
Answer: 5
Solution
For a string, the frequency of the -th harmonic is .
Two successive harmonics: Hz and Hz.
Taking the ratio:
Solving: , so .
For :
N.
Two successive harmonics: Hz and Hz.
Taking the ratio:
Solving: , so .
For :
N.
JEE Advanced · 2023 · 04 Jun 2023 · Paper 2 · Integer answer