Interference is the process where superposition of waves leads to varying intensity at a point; the OCR marks option A.
1503
In an interference experiment, third bright fringe is obtained at a point on the screen with a light of 700 nm. What should be the wavelength of the light source in order to obtain 5th bright fringe at the same point?
Path difference is the same: m1·λ1 = m2·λ2 ⇒ λ2 = (3·700 nm)/5 = 420 nm, so option D is correct.
1504
When a monochromatic beam of light is passed through a plane transmission grating at normal incidence, the direct image is obtained at D. The diffracted images A and B correspond to first and second order diffraction. What shall happen if the source is replaced by a source of longer wavelength?
Bragg's law (nλ = 2d sin θ) is specifically used with crystal planes to determine X-ray wavelengths, unlike optical double-slit or grating experiments.
X-ray diffraction techniques have been used to study DNA structure, haemoglobin, and general crystal structures, so all listed examples apply.
1508
In a spectrometer experiment, monochromatic light is incident normally on a diffraction grating having 4.5 × 10^5 lines per metre. The second order line is seen at an angle of 30° to the normal. What is the wavelength of the light?
With d = 1/(4.5×10^5) and nλ = d sinθ, for n=2 and θ=30° we get λ ≈ 5.56×10^-7 m (≈556 nm).
1509
In two separate setups of Young's double slit experiment using light of same wavelength, fringes of equal width are observed. If ratio of slit separation in the two is 2 : 3, the ratio of the distance between source and screen in the two-set ups is