The superposition takes place between two waves of frequency f and amplitude a. The total intensity is directly proportional to

[MP PMT 1986]

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Solution

The correct option is D

Resultant ampliyude

$A = \sqrt{a^{2} + a^{2} + 2 a a c o s ϕ} = \sqrt{4 a^{2} c o s^{2} ⎧ ⎪ ⎪ ⎪ ⎩ \frac{ϕ}{2} ⎫ ⎪ ⎪ ⎪ ⎭}$

$∵ I \infty A^{2} \Rightarrow I \infty 4 a^{2}$

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The superposition takes place between two waves of frequency f and amplitude a. The total intensity is directly proportional to [MP PMT 1986]

The correct option is D Resultant ampliyude A=√a2+a2+2 aa cos ϕ=√4a2 cos2⎧⎪ ⎪ ⎪⎩ϕ2⎫⎪ ⎪ ⎪⎭ ∵ I ∞ A2⇒I ∞ 4a2

The superposition takes place between two waves of frequency f and amplitude a. The total intensity is directly proportional to

[MP PMT 1986]

The correct option is D

Resultant ampliyude

$A = \sqrt{a^{2} + a^{2} + 2 a a c o s ϕ} = \sqrt{4 a^{2} c o s^{2} ⎧ ⎪ ⎪ ⎪ ⎩ \frac{ϕ}{2} ⎫ ⎪ ⎪ ⎪ ⎭}$

$∵ I \infty A^{2} \Rightarrow I \infty 4 a^{2}$