If the sum of the intensities of two component waves are 5I units and upon superposition with a phase difference of - radians- their resultant is 2I- what are the intensities of component waves

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If the sum of...

Question

If the sum of the intensities of two component waves are 5I units and upon superposition with a phase difference of $π$ radians, their resultant is 2I, what are the intensities of component waves

I_{1} = 3 I, I_{2} = I

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I_{1} = 3.5 I, I_{2} = 1.5 I

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I_{1} = 2 I, I_{2} = 3 I

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I_{1} = I, I_{2} = 4 I

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Solution

The correct option is B $I_{1} = 3.5 I, I_{2} = 1.5 I$
If $I_{1}$ and $I_{2}$ are intensities of two waves, then $I_{1} + I_{2} = 5 I$ and $(I_{1} - I_{2}) = 2 I$ . Solving, we get, $I_{1} = 3.5 I$ and $I_{2} = 1.5 I$
The correct option is (b)

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If the sum of the intensities of two component waves are 5I units and upon superposition with a phase difference of π radians, their resultant is 2I, what are the intensities of component waves

The correct option is B I1=3.5I,I2=1.5IIf I1 and I2 are intensities of two waves, then I1+I2=5I and (I1−I2)=2I. Solving, we get,I1=3.5I and I2=1.5IThe correct option is (b)

If the sum of the intensities of two component waves are 5I units and upon superposition with a phase difference of $π$ radians, their resultant is 2I, what are the intensities of component waves

The correct option is B $I_{1} = 3.5 I, I_{2} = 1.5 I$
If $I_{1}$ and $I_{2}$ are intensities of two waves, then $I_{1} + I_{2} = 5 I$ and $(I_{1} - I_{2}) = 2 I$ . Solving, we get, $I_{1} = 3.5 I$ and $I_{2} = 1.5 I$
The correct option is (b)