Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEETPhysicsWave Optics

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): In Young's double slit experiment, the ratio of intensity at a point where path difference is 4 to the intensity at the central maximum is 1:2 . Reason (R): The phase difference corresponding to a path difference of 4 is 2 , and intensity varies as the square of the cosine of half the phase differe

Options

  1. ABoth (A) and (R) are correct and (R) is the correct explanation of (A)
  2. BBoth (A) and (R) are correct but (R) is not the correct explanation of (A)
  3. C(A) is correct but (R) is not correct
  4. D(A) is not correct but (R) is correct

Correct answer

A. Both (A) and (R) are correct and (R) is the correct explanation of (A)

Step-by-step solution

Phase difference is related to path difference x by = 2 x . For x = 4 , = 2 4 = 2 . The intensity I at a point on the screen is given by I = I_ max ^2 ( 2 ) . Substituting = 2 , we get I = I_ max ^2 ( 4 ) = I_ max ( 1 2 )^2 = I_ max 2 . The ratio of intensity at this point to the central maximum intensity is 1:2 . Thus, Assertion (A) is correct. Reason (R) correctly states the phase difference and the formula for intensity variation, which directly explains the calculation in the Assertion. Thus, Reason (R) is corr

Practice Wave Optics on Quantrex Academy →

More from Wave Optics

An unpolarized light beam of intensity I₀ passes through a series of n Polaroids P₁, P₂, P₃, P_n . The pass axis of each poloroid makes an angle of 60^ with the other poloroid. Wha 2026In a single-slit Fraunhofer diffraction experiment, the first secondary minimum is observed at an angle of 30^ for light of wavelength . If the same slit is now illuminated by ligh 2026In the Young's double slit experiment, the intensity of light at a point on the screen is 'K', being the wavelength of light used. The intensity at a point where path difference is 2026Two images are considered "just resolved" according to Rayleigh's criterion when 2026In Young's double slit experiment, the slits are 2 mm apart and are illuminated by photons of two wavelengths ₁ = 6000 Å and ₂ = 5000 Å one after the other. At what minimum distanc 2026In Young's double slit, 18 fringes are observed to be formed in a certain segment of the screen when light of wavelength 400 nm is used. If the wavelength is changed to 600 nm, the 2026When the un-polarised light beam is incident from air to glass (n = 1.5) at the Brewster's angle, 2026In Young's double-slit experiment, the intensity at a point is ( 1 4 ) of the maximum intensity. The angular position of this point is = wavelength of light used, d = separation be 2026 Full Wave Optics list All NEET PYQs