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Light of wavelength 465 nm passes through a single slit of width 2.32*10^-5 m. At what angle does the first interference minimum (m=1) occur?

2 Answers

1 vote

Answer: 1.15 is right i tried it on accllus its for (m=1) it is right not wrong

Step-by-step explanation:

User Hitesh Chavda
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6 votes

Answer:

1.15°

Step-by-step explanation:

The width of slit, angle of interference and wavelength are related with the formula


wsin\theta=m\lambda

and making


\theta the subject of formula we get


\theta=sin^(-1)(\frac {m\lambda}{w})

Where


\theta is the angle where the first interference occurs, w is width,


\lambda is the wavelength

Substituting 1 for m,
232*10^(-5) m for w and
465*10^(-9) m for
\lambda


\theta=sin^(-1)(\frac {1*465* 10^(-9)}{232* 10^(-5)})=1.14846213920053^(\circ)

Therefore, rounded off, the angle is approximately 1.15°

User Disnami
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