A wave disturbance in a medium is described by y ( x , t ) = 0.02 cos ( 50 π t + 2 π ) cos ( 10 π x ) where x and y are in meter and t is in second.

Node where: cos ( 10 π x ) = 0 ⇒ x = 0.15 m (correct) Antinode where: ∣ cos ( 10 π x ) ∣ = 1 ⇒ x = 0.3 m (correct) Speed: ω / k = 50 π /10 π = 5 m/s (correct) All are correct.

Start Free Mock LoginAlready registered? Login here

Physics - Sound Wave Question with Solution | TestHub

PhysicsSound WaveStanding waveMedium3 minQB

PhysicsMediumsingle choice

A wave disturbance in a medium is described by $y (x, t) = 0.02 cos (50 π t + \frac{π}{2}) cos (10 π x)$ where $x$ and $y$ are in meter and $t$ is in second.

Options:

Answer:

Solution:

Node where:
$cos (10 π x) = 0 \Rightarrow x = 0.15$ m (correct)
Antinode where:
$∣ cos (10 π x) ∣ = 1 \Rightarrow x = 0.3$ m (correct)
Speed:
$ω / k = 50 π /10 π = 5$ m/s (correct)
All are correct.

Subject:PhysicsTopic:Sound WaveSubtopic:Standing wave

⏱ 3mℹ️ Source: QB

Doubts & Discussion

Loading discussions...