When coherent electromagnetic waves with wavelength l = 120 mm are incident on a single slit of width a, the width of the central maximum on a tall screen 1.50 m from the slit is 90.0 cm. For the same slit and screen, for what wavelength of the incident waves is the width of the central maximum 180.0 cm, double the value when l = 120 mm?

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When coherent electromagnetic waves with wavelength
l = 120 mm are incident on a single slit of width a, the width of the central
maximum on a tall screen 1.50 m from the slit is 90.0 cm. For the same
slit and screen, for what wavelength of the incident waves is the width of
the central maximum 180.0 cm, double the value when l = 120 mm?

Expert Solution
Step 1

Given,

Wavelength λ =120 mmL=1.50 mWidth W =90.0cm

Step 2

The width of single slit is given by 

W=2Lλdd=2LλWd=2*1.5*120mm0.90d=400 mm

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