Q.
A stretched string of length 1m and mass 5 × 10–4 kg, fixed at both ends, is under a tension of 20 N. If it is plucked at points situated at 25 cm from one end, it would vibrate with a frequency :
see full answer
Want to Fund your own JEE / NEET / Foundation preparation ??
Take the SCORE scholarship exam from home and compete for scholarships worth ₹1 crore!*
An Intiative by Sri Chaitanya
a
400 Hz
b
200 Hz
c
100 Hz
d
256 Hz
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
Standing waves of produced in the string attached on both the ends, whose frequency is given by n2lTμT=20Nand μ=5×10−4∴frequency=n24×104=100 nNow according to question the string is plucked at 25 cmThus antinode is present at 25 cm, thus λ4=25 cm λ=100 cm ∴n=2, hence frequency = 200Hz
Watch 3-min video & get full concept clarity