NEETPhysicsDual Nature of Matter
On a photositive surface of threshold wavelength (5 ), two different monochromatic beams of wavelengths (3 ) and ( ) are incident, one after another, then match the ratio of physical quantities specified in column - I to the ratio values given in column - II. ( array |c|l|c|l| & Column I & & Column II (a) & Maximum KE of photo electrons & (i) & 1 : 3 (b) & Speed of incident photons & (ii) & 1 : 6 (c) & Momentum of in
Options
- A(a) - iii, (b) - ii, (c) - i, (d) - iv
- B(a) - ii, (b) - iv, (c) - iii, (d) - i
- C(a) - ii, (b) - iv, (c) - i, (d) - iii
- D(a) - i, (b) - ii, (c) - iv, (d) - iii
Correct answer
C. (a) - ii, (b) - iv, (c) - i, (d) - iii
Step-by-step solution
( aligned & K ₁= hc 3 - hc 5 = hc [ 1 3 - 1 5 ]= hc [ 2 15 ] & K ₂= hc - hc 5 = hc [1- 1 5 ]= hc [ 4 5 ] aligned ) (a) Ratio of KE ( K ₁ ~K ₂ = hc [ 2 15 ] hc [ 4 5 ] = 1 6 =1: 6 ) (b) Ratio of speeds of incident photons ( c₁ c₂ = 1 1 =1: 1 ) Ratio of momentum of incident photons ( p ₁ p ₂ = ₂ ₁ = 3 =1: 3 ) (c) Ratio of fastest speed of photo electrons ( v₁ v₂ = K₁ K₂ = 1 6 =1: 6 )