Download the app

Questions  

A sonometer wire has a length of 114 cm between two fixed ends, where should two bridges be placed to divide the wire into three segments whole fundamental frequencies are in the ratio 1:3:4?

a
72 cm, 96 cm
b
80 cm, 96 cm
c
100 cm, 96 cm
d
78 cm, 100 cm

detailed solution

Correct option is A

In case of a given wire under constant tension    Fundamental frequency of vibration f ∝1l ∴l1:l2:l3=11:13:14=12:4:3 l1=1219×114⇒l1=72 cm l2=24 cm l3=18 cm ∴  First bridge is to be placed 72 cm from one end.   Second bridge is to be placed 72+24=96​ cm  from one end

Talk to our academic expert!

+91

Are you a Sri Chaitanya student?


Similar Questions

A wire having a linear density of 5 g/m is stretched between two rigid supports with a tension of 450 N. It is observed that the wire resonates at a frequency of 420 Hz. The next highest frequency at which the same wire resonates is 490 Hz. Find the length of the wire. (in m)


phone icon
whats app icon