`S_(1)` : A standing wave pattern if formed in a string. The power transfer through a point (other than node and antinode) is zero always
`S_(2)`: if the equation of transverse wave is `y= sin 2pi[t/0.04-x/40]`, where distance is in cm. time in second, then the wavelength will be 40 cm.
`S_(3)`: if the length of the vibrating string is kept constant, then frequency of the string will be directly proportional to `sqrt(T)`

Options

A. FTT
B. TTF
C. TFT
D. FFF

Answer

A

Explanation

`S_(1)=` False
at node v=0, at antinode tension `bot` to velocity `:.` at the points power `=0(P=vec(F).vec(V))`
At other points `Pne0`
`S_(2)`: True
Equation of transverse wave is given by
`y=5 sin 2pi[t/0.04-x/40].....(1)`
The standard equation of transverse wave is
`y=a sin 2pi[t/T-x/(lambda)].....(2)`
Now comparing the given equation (1) and the standard equation (2) we obtain `lambda=40 cm ` where `lambda` is the wavelength of wave
`S_(3)`: True
The effect of tension is searched by keeping the length of the string constant, while the tension is alternate to brign the wire into unision with a number of standerd forks in turn. experiments varifies that the frequency is directly proportional to the square root of tension which is
`f prop sqrt(T)`