NEET Practice Questions (MCQs) with Answers & Solutions

$ here , i = 90 ^ \circ , r_1 = 0 , r_1 + r_2 = A , r_2 = 30 ^\circ $ $ Now , n = { sin (i_2 ) \over sin (r_2) } \therefore i_2 = 45 ^\circ $ $ i + e = A + \delta m $ $ \therefore \delta m = 15 ^ \circ $

$here : For \, real \,image u = -\nu_1 , \nu = 2 v_1 , f = -30 cm $ $ \therefore { -1 \over -2 u_1} - { 1 \over u_1} = { 1 \over -30 } $ $ \therefore u_1 = 45 cm $ $ for \,virtual\, image\, u = - u_2 , \nu = + 2 \nu_2 , f = -30 cm $ $ \therefore { -1 \over u_2 } + { 1 \over 2 u_2 } = -{ 1 \over 30 } , u_2 = 15 cm $ $ u_1 - u_2 = 30cm $

$ here , m = {1 \over 4 } = { \nu \over u } $ $ \therefore u = 4v $ $ if \nu = - x , u = -4x then $ $ from figure , | 0I | = 4x - x , 3x =10 cm \therefore x = {10 \over 3 } cm $ $ now, u = 4 \nu = 4x ( from fig : \nu = x ) $ $ = + { 40 /3 } and \nu = { u \over 4 } = { 40 \over 3 \times 4 } = { -10 \ove 3 } cm $ $ \therefore from { 1 \over f } = { 1 \over u } - { 1 \over \nu } $ $ \therefore f = - 4.4 cm $

$ use d \theta = { 1.22 \lambda \over D } = { x \over r } , where r = distant of jeep car $ $ \therefore r = 3.34 km $

$ For, plano - convex lens , { 1 \over f_1 } = { 1 \over f_3 } = (n-1) \left( { 1 \over \infty } \times {1 \over R } \right) = {1 \over 24 }$ $ For , double convex lens \therefore { 1 \over f_1} + {1 \over f_2} +{ 1 \over f_3 }= { -1 \over 60 } $ $ \therefore {1 \over f_2} = { -1 \over 10 } $ $ now \therefore { 1 \over f_2 } = (n-1) \left( {1 \over R_1} - {1 \over R_2 }\right) = n =1.6 $

Huygens' wave theory of light can explain wave phenomena such as diffraction and interference. However, it cannot explain the photoelectric effect, which requires the concept of light as particles (photons) as explained by Einstein's quantum theory.

The fringe width (β) in a double-slit experiment is directly proportional to the wavelength (λ) of the light used. Given λ_r = 8000 Å and λ_ν = 4000 Å, the ratio of their fringe widths is β_r / β_ν = λ_r / λ_ν = 8000 Å / 4000 Å = 2:1.

When a light wave travels from rarer medium to denser medium, its frequency remains the same but its wavelength decreases.

Velocity of light waves decreases because of change in wavelength.

When two coherent light waves of the same intensity (I) interfere constructively, the maximum intensity (I_max) is given by:

\[ I_{ ext{max}} = 4I \]

This is because the electric field amplitudes add up in constructive interference, resulting in the intensity being proportional to the square of the amplitude. Since the minimum intensity given is zero, the maximum intensity will be 4I.