\"\"

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The angle \"\" in radians, locating the m th fringe can be calculated by \"\".

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Where,

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\"\" is the distance between the two slits.

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\"\" is the wave length of the wire.

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\"\"

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(a)

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Consider \"\".

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Multiply each side by \"\".

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\"\"

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Divide each side by \"\".

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\"\"

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Apply reciprocal identity : \"\".

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\"\".

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Divide each side by \"\".

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\"\".

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\"\"

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(b)

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Find the angle \"\".

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Wave length : \"\" nanometers.

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The distance between the two slits \"\" millimeters.

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Convert millimeters to nanometers.

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\"\"

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\"\".

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Consider \"\".

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Substitute the values of \"\", \"\" nm, and \"\" in above formula.

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\"\"

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Thus, the angle is \"\" radians.

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\"\"

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(a). \"\".

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(b). The angle is \"\" radians.