Two simple harmonic waves having equal amplitudes of 8 cm and equal frequency of 10 Hz are moving along the same direction. The resultant amplitude is also 8 cm. The phase difference between the individual waves is degree.

Question

Two simple harmonic waves having equal amplitudes of 8 cm and equal frequency of 10 Hz are moving along the same direction. The resultant amplitude is also 8 cm. The phase difference between the individual waves is degree. (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

2 A cos ((Δ φ/2))= A cos ((Δ φ/2))=(1/2) (Δ φ/2)=60°

Q. Two simple harmonic waves having equal amplitudes of $8 c m$ and equal frequency of $10 Hz$ are moving along the same direction. The resultant amplitude is also $8 c m$ . The phase difference between the individual waves is __degree.

$2 A cos (\frac{Δ ϕ}{2}) = A$
$cos (\frac{Δ ϕ}{2}) = \frac{1}{2}$
$\frac{Δ ϕ}{2} = 6 0^{\circ}$

Q. Two simple harmonic waves having equal amplitudes of 8cm and equal frequency of 10Hz are moving along the same direction. The resultant amplitude is also 8cm. The phase difference between the individual waves is __degree.

2Acos(2Δϕ​)=A cos(2Δϕ​)=21​ 2Δϕ​=60∘

Q. Two simple harmonic waves having equal amplitudes of $8 c m$ and equal frequency of $10 Hz$ are moving along the same direction. The resultant amplitude is also $8 c m$ . The phase difference between the individual waves is __degree.

$2 A cos (\frac{Δ ϕ}{2}) = A$
$cos (\frac{Δ ϕ}{2}) = \frac{1}{2}$
$\frac{Δ ϕ}{2} = 6 0^{\circ}$