A wave `y=3mm sin(2pix-200pit)` is propagating in the left string. It strikes the boundary at x=0 and is reflected partially and transmitted partially. Choose the correct statements:

Options

A. The tension in strings is 20 N
B. The amplitude of transmitted wave is 2 mm.
C. The wave undergoes a phase change of `pi` on reflection.
D. The wavelength of transmitted wave is ` ( 1 ) / (2 ) `m .

Answer

A

Explanation

(1) ` v = ( omega ) /(k) = 100 m//s = sqrt((T)/( 10 ^( - 3 ))) `
`rArr T = 10 N`
(2) ` A_t = ( 2 V _ 2 ) /( V_1 + V_ 2 ) Ai = ( 2 xx 50 ) /( 150 ) xx 3 = 2mm`
(4) ` lamda f = v,` v is halfed so ` lamda ` is also halfed.