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Intensity Amplitude Relationship

S 1 and S 2 a...

Question

$S_{1}$ and $S_{2}$ are two sources of light which produce individually disturbance at point P given by $E_{1} = 3 s i n ω t, E_{2} = 4 c o s ω t$ . Assuming ${\to E}_{1}$ and ${\to E}_{2}$ to be along the same line, find the resultant amplitude after their superposition.

A

5

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B

4

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C

3

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D

2

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Solution

The correct option is A
5

$E = 3 s i n ω t + 4 s i n (ω t + \frac{π}{2})$
$A^{2} = 3^{2} + 4^{2} + 2 (3) (4) c o s \frac{π}{2} = 5^{2}$

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Similar questions

S_{1}

S_{2}

are two sources of light which produce individually disturbance at point

P

{\to E}_{1} = 3 sin ω t

{\to E}_{2} = 4 cos ω t

_{1}

_{2}

to be along the same line, the resultant of their super position is

Q. Two coherent sources emit light waves which superimpose at a point and are expressed as

\begin{matrix} E_{1} = E_{0} sin (ω t + π / 4) E_{2} = 2 E_{0} sin (ω t - π / 4) \end{matrix}

E_{1}

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are the electric field strengths of the two waves at the given point. If

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is the intensity of wave expressed by field strength

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. The resultant intensity istimes

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Q. Consider two charged metallic spheres

S_{1} and S_{2}

R_{1} and R_{2}

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E_{1} (on S_{1}) and E_{2} (on S_{2})

on their surfaces are such that

E_{1} / E_{2} = R_{1} / R_{2}

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\frac{V_{1} (on S_{1})}{V_{2} (on S_{2})}

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N_{2} + 3 H_{2} \to 2 N H_{3}, i f E_{1} a n d E_{2}

are the equivalent masses of

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E_{1} - E_{2}

E_{1}

E_{2}

be two ellipses whose centers are at origin. The major axes of

E_{1}

E_{2}

x -

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The straight line

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