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A slit of width a illuminated by red lig...

A slit of width `a` illuminated by red light of wavelength `6500 Å`. The first minimum will fall at `theta=30^(@)` if `a` is

A

`3250 Å`

B

`6.5xx10^(-4) mm`

C

`1.3 micron`

D

`2.6xx10^(-4) cm`

Text Solution

Verified by Experts

The correct Answer is:
C
`a sintheta=nlambda, n=1, 2, …`
`a sin 30^(@)=1xx6500`
`a=13000 Å=1.3xx10^(-6) m=1.3 mu m`
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Knowledge Check

  • A slit of width a is illuminated by light. For red light (lambda = 6500 Å) , the first minima is obtained at theta = 30^(@) . Then the value of a will be

    A
    3250
    B
    `6.5 xx 10^(-4)mm`
    C
    `1.3 mu m`
    D
    `2.6 xx 10^(-4)cm`

  • A slit of width is illuminated by white light. For red light (lambda=6500Å) , the first minima is obtained at theta=30^@ . Then the value of will be

    A
    (a) `3250Å`
    B
    (b) `6.5xx10^-4mm`
    C
    (c) `1.24`
    D
    (d) `2.6xx10^-4mm`

  • A slit of width a is illuminated by white light. For red light (lambda=6500Å) , the first minima is obtained at theta=30^@ . Then the value of a will be

    A
    (a) `3250Å`
    B
    (b) `6.5xx10^-4mm`
    C
    (c) `1.24` microns
    D
    (d) `2.6xx10^-4cm`

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