Question

The two waves are represented by Y₁ = `10-2 sin [50"t" + x/25 + 0.3]`m and Y₂ = `10^-2 cos [50"t" + x/25]`m where x is in metre and time in second. The phase difference between the two waves is nearly _________.

Options

• 1.22 rad

• 1.05 rad

• 1.15 rad

• 1.27 rad

Answer 1

The two waves are represented by Y₁ = `10-2 sin [50"t" + x/25 + 0.3]`m and Y₂ = `10^-2 cos [50"t" + x/25]`m where x is in metre and time in second. The phase difference between the two waves is nearly 1.27 rad.

Explanation:

Y₁ = `10-2 sin [50"t" + x/25 + 0.3]`m

Y₂ = `10^-2 cos [50"t" + x/25]`m

∴ Phase difference between the two waves is

`phi = pi/2 - 0.3 = 1.57 - 0.3 = 1.27`rad