The equation y=5 sin((π x/25)) cos(450t) represents the stationary wave setup in a vibrating sonometer wire, where x,y are in cm and t in second. The distance of second and third nodes from one end are(in cm).

Question

The equation y=5 sin((π x/25)) cos(450t) represents the stationary wave setup in a vibrating sonometer wire, where x,y are in cm and t in second. The distance of second and third nodes from one end are(in cm). (A) 50, 75 (B) 25, 20 (C) 15, 50 (D) 20, 50

Tardigrade Admin · Accepted Answer

λ = (2 π/k) distance of nodes x = 0, (λ/2) ,λ.......

Q. The equation $y = 5 sin (\frac{π x}{25}) cos (450 t)$ represents the stationary wave setup in a vibrating sonometer wire, where x,y are in cm and t in second. The distance of second and third nodes from one end are(in cm).

50, 75

25, 20

15, 50

20, 50

$λ = \frac{2 π}{k}$
distance of nodes x = 0, $\frac{λ}{2}, λ .......$

Q. The equation y=5sin(25πx​)cos(450t) represents the stationary wave setup in a vibrating sonometer wire, where x,y are in cm and t in second. The distance of second and third nodes from one end are(in cm).