In an experiment it was fpund that the tuning fork and a sonometer wire gave 5 beats per second both - Physics - Waves

Question

In an experiment it was fpund that the tuning fork and a sonometer
wire gave 5 beats per second both when the length of wire was 1m
and 1 05m Calculate the frequency of the fork Ans = 205 Hz Pls
donot send any links Pls answer fast

Vipra Mishra · Accepted Answer

Dear Student

Let n = frequency of the tuning forkn1=frequency of wire corresponding to length L1(1
0 m)n2=frequency of wire corresponding to length L2(1
05 m)The frequency of wire is inversely proportional to its lengthHencen1>n2Son1n2=n+5n-5 (Since number of beats = 5)Butn1n2=L2L1n+5n-5=1
0511 05n -5 25=n +50 05n=10 25n =205Hz
Regards

In an experiment it was fpund that the tuning fork and a sonometer wire gave 5 beats per second both when the length of wire was 1m and 1.05m . Calculate the frequency of the fork. Ans = 205 Hz. Pls donot send any links. Pls answer fast .