(b) 
(c) 
(d) 
The correct answer is a) $ \frac{4 \pi d}{\lambda}\left(1-\frac{1}{n^{2}} \sin ^{2} \theta\right)^{1 / 2}+\pi $ Explanation: When a slab of glass is put in air, the wave reflected from the upper...
When the angle of incidence is equal to the Brewster's angle, polarised light is transmitted and plane-polarized light is reflected. The equation is as follows: $ \tan...
Given wave amplitude in perpendicular polarisation $ A_{\perp}=A_{\perp}^{0}(\sin (k x-\omega t)+\sin (k x-\omega t+\phi)) $ wave amplitude in parallel polarisation $ A_{\|}=A_{\|}^{0}(\sin (k...
According to the question, $ \begin{array}{l} \Delta x=2 d \sin \theta+(\mu-1) L \\ \sin \theta 0=-1 / 16 \end{array} $ From central maxima, $O P=-D / 16$ $ \sin \theta_{1}=\frac{\pm \lambda / 2-d /...
The correct answer is d) there would be a regular two-slit pattern on the second screen
Sound waves have a frequency of 20 Hz to 20,000 Hz and a wavelength of 15 m to 15 mm, respectively. When the size of the slit is similar to the wavelength of the sound, it causes diffraction....
Angular separation, φ = 5.8 × 10–4 rad The average distance between the two dots = 2.54/300 = 0.85 × 10-2 cm At distance z cm, the angle subtended = 0.85 × 10-2/z Resolution angle for human = 0.85 ×...
A monochromatic source is placed in front of polaroid (I), and polaroid (II) is positioned in front of polaroid (I) (I). The light is unaltered as it travels through the polaroid (II). The Polaroid...
5000 Ao = 5000 × 10-10 m 1/d = 2 sin β/1.22λ dmin = 1.22 λ/ 2 sin β λd = 1.22/10 × 10-10 m When the 100V light is used, d’min = 1.22 λd/ 2 sin β d’min = 1.22 × 1.22 × 10-10/2 sin β The required...
The minima will occur when ∆x = S2P – S1P = (2n-1/2)λ S1P = √D2 + (D – x)2 S2P = √D2 + (D + x)2 T2P = D + x T1P = D – x [D2 + (D+x)2]-1/2 – [D2+(D-x)2]1/2 = λ/2 D =...
i) R2 is the larger signal. ii) When B is switched off, R1 is y = a cos ꞷt IR1 = a2/2 R2 is y = a cos ꞷt IR2 = a2/2 So, it can be said that R1 and R2 are the same. iii) When D is switched off, R1 is...
BC = √μrεr (CD-AE) BC >0; CD > AE -√μrεr AE = BC – √μrεr CD BC = √μrεr (CD – AE) AE > CD Therefore, BC < 0 ii) BC = AC sin θi CD – AE = AC sin θr BC = √μrεr AC sin θi = √μrεr AC sin θr...
IA is incident at point A, forming an incident angle I between the air and the film surface. The reflected and refracted rays are AR1 and AD, respectively. D is the point where the partial...
Answer - Let “a” denote the width of a single slit. According to the question, the single slit is then further divided into n smaller slits of width a’. So, we can write – a’ = a / n For the...
Answer – (a) The aircraft's weak radar emissions interfere with the antenna's reception of the TV signal. (b) This is because the linear aspect of a differential equation that drives wave motion...
Answer – We are given that, λ = 500 nm is the wavelength of the beam of light D= 1 m is the distance between the slit and the screen x = 2.5 mm = 2.5 x 10-3 m is the distance of the first...
Answer – We are given that, 40 km Is the distance between the towers d = 50 m is the height of the line joining the hills The radial spread of the radio waves can not exceed 50 m Aperture,...
Answer – (a) In a single slit diffraction experiment, doubling the slit width reduces the size of the central diffraction band by half while increasing the intensity of the band by four times. (b)...
Answer – We are given that - Wavelength of the light is λ = 600 nm Θ is the angular width of the fringe formed, given equal to 0.10 = 0.1 π/180 Spacing between the slits is d...
Answer – Because sound waves can only move through the medium, the Doppler formula differs somewhat between the two scenarios. In both circumstances, the observer's motion relative to the medium is...
Answer – (a) In the vacuum, none of the components listed affect the speed of light. (b) The wavelength of light in a media affects the speed of light in that medium.
Answer – Consider an item O placed at a distance r in front of the plane mirror MO'. The object is designated as point O, and a circle is drawn around it, just touching the plane mirror at point O'....
Answer – The velocity of light in the denser medium (water) is greater than the velocity of light in the rarer medium (air), according to Newton's Corpuscular hypothesis (vacuum). This was erroneous...
Answer – It is given in the question – λ = 6563 Å and, Δλ = 15 Å Since the star is receding, the velocity (v) will be negative. We know that, Δλ = – vλ/c Therefore, v = – cΔλ/λ = – (3 x...
Answer: The distance which is used in ray optics for a good approximation is known as Fresnel’s distance ZF, relation for which is given as follows – \[{{Z}_{F}}=\frac{{{a}^{2}}}{\lambda }\] Where...
Answer – We are given, Wavelength of incident light is λ = 5000 Armstrong = 5000 x 10-10 m Speed of light is known as c =3 x 108 m The relation for the frequency of...
Answer – We are given that Refractive index of glass is μ = 1.5 Let the Brewster angle be θ The relation between the Brewster angle and the refractive index is given as follows – \[\tan \theta =\mu...
Answer: We are given, Distance of the screen from the slits is D = 1m Wavelength of light used is λ1 = 600 nm Angular width of the fringe in air is θ1 = 0.2° θ2 is the angular...
Answer – Let I1 and I2 represent the intensity of the two light waves. Then, their resultant intensities can be determined as follows –...
Answer – We are given, Distance between the screen and the slits, D = 1.4 m Distance between the slits is d = 0.28 mm = 0.28 x 10-3 m Also, the distance between the central fringe and the...
(ii) Is the speed of light in glass Independent of the colour of light? If not, which of the two colours red and violet travels slower in a glass prism? Answer – (i) We are given, Refractive...
(i) Light diverging from a point source. (ii) Light emerging out of a convex lens when a point source is placed at its focus. (iii) The portion of the wavefront of the light from a distant star...
Answer – We are given, Wavelength of monochromatic light incident is , λ = 589 nm = 589 x 10-9 m Speed of light in air is c = 3 x 108 m s-1 Refractive index of water is...