Question

(b) In the observed diffraction pattern due to a single slit, how will the width of central maximum
Q. (a) Why do we not encounter diffraction effects of light in everyday observations?
be affected if
(i) The width of the slit is doubled;
(ii) The wavelength of the light used is increased?
Justify your answer in each case.
(a) We do not encounter diffraction effects of light in everyday observations. To observe
diffraction, size of obstacle/aperture must be comparable with wavelength of light but in
daily observations size of obstacle/aperture is much larger than the wavelength of light.
22
Angular width of central fringe Bo
1
is halved.
(b) (i) If the width of slit is doubled, the (angular) width of central fringe -
(ii) When wavelength of light used is increased (B. aa), the width of central fringes increases.
Q. A parallel beam of monochromatic light of wavelength 500 nm falls normally on a narrow slit
and the resulting diffraction pattern is obtained on a screen 1 m away. It is observed that the first
minimum is at a distance of 2.5 mm from the centre of the screen. Find
a) The width of the slit.
3) The distance of the second maximum from the centre of the screen.
-) The width of the central maximum.
① width of central maxima
3 For first minimum
ao=1
a​

Answer 1

Answer:

Angular width of central fringe $\beta_\theta=2 \lambda / a$

Explanation:

Step 1: Daily observations do not involve diffraction effects of light. The size of the obstruction or aperture must be equivalent to the wavelength of the light in order to notice diffraction, however in daily observations, the obstacle or aperture is considerably greater than the wavelength of light.

Angular width of central fringe $\beta_\theta=2 \lambda / a$

Step 2:(b) (i) If the width of slit is doubled, the (angular) width of central fringe(∝(1/a))  is halved.  

(ii) When wavelength of light used is increased (βθ ∝ λ), the width of central fringes increases

Step 3:We do not encounter diffraction effects of light in everyday observations. To observe diffraction size of obstacle/aperture must be comparable with wavelength of light but in daily observations size of obstacle/aperture is much larger than the wavelength of light. Angular width of central fringe βθ = 2λ/a b i If the width of slit is doubled the angular width of central fringe∝1/a  is halved. ii When wavelength of light used is increased βθ ∝ λ the width of central fringes increases.

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