In interference experiment the path difference between two interfering waves at a point on the screen is , where is the

Question

In interference experiment the path difference between two interfering waves at a point $A$ on the screen is $λ / 3$ , where $λ$ is the wavelength of these waves, and at another point $B$ the path difference is $λ / 6$ . The ratio of intensities at points $A$ and $B$ is ______. [2026]

Smart Achievers · Accepted Answer

(3)

$Δ ϕ_{A} = \frac{2 π}{λ} \times \frac{λ}{3} = \frac{2 π}{3}$

$∴$ $I_{A} = I + I + 2 \sqrt{I} \cdot \sqrt{I} \cdot \cos (\frac{2 π}{3}) = I$

$Δ ϕ_{B} = \frac{2 π}{λ} \times \frac{λ}{6} = \frac{π}{3}$

$∴$ $I_{B} = I + I + 2 \sqrt{I} \cdot \sqrt{I} \cdot \cos (\frac{π}{3}) = 3 I$

$\frac{I_{A}}{I_{B}} = \frac{I}{3 I} = \frac{1}{3}$

Solution

Q.
In interference experiment the path difference between two interfering waves at a point $A$ on the screen is $λ / 3$ , where $λ$ is the wavelength of these waves, and at another point $B$ the path difference is $λ / 6$ . The ratio of intensities at points $A$ and $B$ is ______. [2026]

1 $3$

2 $4$

3 $\frac{1}{3}$

4 $\frac{1}{4}$

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Solution

Q. In interference experiment the path difference between two interfering waves at a point A on the screen is λ/3, where λ is the wavelength of these waves, and at another point B the path difference is λ/6. The ratio of intensities at points A and B is ______. [2026]

1 3

2 4

3 13

4 14