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Q.

In YDSE the angular width of a tringe formed on a distance screen is $1^{0}$ . The wavelength of light used is 6000 $\overset{o}{A}$ . What is the spacing between the slits?

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a

0.214 mm

b

0.1344 mm

c

0.0344 mm

d

0.084 mm

answer is C.

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Detailed Solution

In YDSE, $θ_{0} =$ Angular width of a fringe $= \frac{β}{D} = \frac{λ \frac{D}{d}}{D}$

solving $\Rightarrow θ_{0} = \frac{λ}{d} \Rightarrow d = \frac{λ}{θ_{0}} = \frac{6000 \times 10^{- 7}}{π / 180} m m$

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In YDSE the angular width of a tringe formed on a distance screen is 10. The wavelength of light used is 6000 Ao. What is the spacing between the slits?