Correct Answer - C
Given that, the linear mass density,
`m=10^(-3)kg//m` and equation of the wave
y = 0.05 sin(x + 15t) ….(i)
Since , the general equation of wave,
`y=asin(kx+omegat)` ….(ii)
Now, compairing the Eqs. (i) and (ii) we get,
`k=1,lamda=2pi(becausek=(2pi)/lamda)`
and `omega=15 rArrf=15/(2pi)` (`becauseomega=2pif`)
Velocity of the wave `v=flamda=2pixx15/(2pi)=15` m/s
As, we know, the tension force in the string,
`T=v^(2)m` `(becausev=sqrt(T/m))`
So, by substituting the values in the above relation, we get
`T=(15)^(2)xx10^(-3)=0.225` N
Hence, the tension force in the string is 0.225 N.