AP EAMCET · PHYSICS · Waves and Sound
Two identical sinusoidal waves each of amplitude \(10 \mathrm{~mm}\), with a phase difference of \(90^{\circ}\) are travelling with the same direction in a string. The amplitude of the resultant wave is
- A \(5 \mathrm{~mm}\)
- B \(10 \sqrt{2} \mathrm{~mm}\)
- C \(5 \sqrt{2} \mathrm{~mm}\)
- D \(20 \mathrm{~mm}\)
Answer & Solution
Correct Answer
(B) \(10 \sqrt{2} \mathrm{~mm}\)
Step-by-step Solution
Detailed explanation
Given that, amplitudes of two waves are \(a_1=a_2=10 \mathrm{~mm}\) Phase difference, \(\phi=90^{\circ}\) Let \(A\) be the resultant amplitude, then by using expression, \(A=\sqrt{a_1^2+a_2^2+2 a_1 a_2 \cos \phi}\) Substituting the values, we get…
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