Match Column I with Column II. List - I List - II (A) If wavelength is slightly increased, the intensity increases. (P) A sitar string is fixed at both ends and is vibrating in 1st harmonic. Sound is

Question

Match Column I with Column II. List - I List - II (A) If wavelength is slightly increased, the intensity increases. (P) A sitar string is fixed at both ends and is vibrating in 1st harmonic. Sound is being heard at a large distance from the string. Tension in string can be changed to change wavelength. (B) If wavelength is slightly decreased, the intensity decreases. (Q) A beam of electrons all having same wavelength is incident on a heavy metallic target; intensity is the total intensity of x rays produced. (C) If wavelength is slightly increased, intensity decreases. (R) In a standard YDSE setup, D = 1 m , d = 1 mm , λ = 500 nm . We find the intensity at 0.5 mm from centre of the screen. (D) If wavelength is slightly decreased, intensity increases. (S) A black body heated to temperature of 2880 K is emitting radiation. Intensity is the intensity corresponding to wavelength of 500 nm relative to peak intensity.

TestHub · Accepted Answer

String (P): I ∝ 1/ λ 2 at fixed tension-driven frequency change, so larger λ gives smaller I and smaller λ gives larger I . Electron beam (Q): X-ray intensity ∝ V 2 with λ d B ​ ∝ 1/ V ​ , so larger λ gives smaller I ; smaller λ gives larger I . YDSE (R): at y = 0.5 mm intensity rises as λ decreases towards the central-maximum fit, so smaller λ gives smaller I here (given phase 2 π at 500 nm). Black body (S): at 2880 K the spectrum peaks near 1000 nm , so at 500 nm larger λ gives larger relative intensity. Combining: A-S, B-R,S, C-P,Q,R, D-P,Q.

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Doubts & Discussion

List - I	List - II
(A) If wavelength is slightly increased, the intensity increases.	(P) A sitar string is fixed at both ends and is vibrating in 1st harmonic. Sound is being heard at a large distance from the string. Tension in string can be changed to change wavelength.
(B) If wavelength is slightly decreased, the intensity decreases.	(Q) A beam of electrons all having same wavelength is incident on a heavy metallic target; intensity is the total intensity of x rays produced.
(C) If wavelength is slightly increased, intensity decreases.	(R) In a standard YDSE setup, $D = 1 m, d = 1 mm, λ = 500 nm$ . We find the intensity at 0.5 mm from centre of the screen.
(D) If wavelength is slightly decreased, intensity increases.	(S) A black body heated to temperature of 2880 K is emitting radiation. Intensity is the intensity corresponding to wavelength of 500 nm relative to peak intensity.