MHT CET · Physics · Waves and Sound
The displacement of two sinusoidal waves is given by the equation
\(
\begin{aligned}
& y_1=8 \sin (20 x-30 t) \
& y_2=8 \sin (25 x-40 t)
\end{aligned}
\)
then the phase difference between the waves after time \(\mathrm{t}=2 \mathrm{~s}\) and distance \(\mathrm{x}=5 \mathrm{~cm}\) will be
- A 2 radian
- B 3 radian
- C 4 radian
- D 5 radian
Answer & Solution
Correct Answer
(D) 5 radian
Step-by-step Solution
Detailed explanation
\(
y_1=8 \sin (20 x-3 t)
\)
Substituting \(x=5 \mathrm{~cm}\) and \(t=2 \mathrm{~s}\), \(y_1=8 \sin (40)\)
Similarly, \(y_2=8 \sin (45)\)
\(\therefore \quad\) phase difference \(=45-40=5\) radian
y_1=8 \sin (20 x-3 t)
\)
Substituting \(x=5 \mathrm{~cm}\) and \(t=2 \mathrm{~s}\), \(y_1=8 \sin (40)\)
Similarly, \(y_2=8 \sin (45)\)
\(\therefore \quad\) phase difference \(=45-40=5\) radian
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