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CBSE Class 12-science Answered

a) State the condition under which the phenomenon of diffraction of light takes place.Derive an expression for the width of central maximum due to diffraction of light at a single slit. b) Light of wavelength λ is incident on a slit of width a.The resulting diffraction pattern is observed on a screen at a distance D.For what value of D the linear width of the principle maximum is then equal to the width of the slit.
Asked by Topperlearning User | 13 Jun, 2014, 08:36: AM
answered-by-expert Expert Answer

a) Diffraction of light takes place when the width of the slit is comparable to the wavelength of light used.

Let xn be the distance of the nth minimum from the centre of the screen, D be the distance between the slit and the screen and a the slit width. Then, xn is given by:

The first minimum, therefore, occurs at

The central maximum extends up to this distance x1 (distance of the first secondary minimum from the centre).

The width of the central maximum will, therefore, be 2x1.

Hence, the width of central maximum will be 2x1 =

b) Linear width of principle maximum = Syntax error from line 1 column 49 to line 1 column 73. Unexpected '<mstyle '.

Syntax error from line 1 column 49 to line 1 column 73. Unexpected '<mstyle '.

Answered by | 13 Jun, 2014, 10:36: AM

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