List of top Physics Questions on Wave Optics asked in UP Board XII

The refractive index for material of prism having refracting angle $60^\circ$ is $1.414$. For light incident on prism in minimum deviation position, calculate:
(i) Angle of minimum deviation,
(ii) Angle of incidence,
(iii) Angle of refraction,
(iv) Angle of emergence. Also draw ray diagram.
Compare astronomical telescope with compound microscope. Can a telescope be used as a microscope and vice-versa? Explain with reason.
Find the resultant intensity of two waves having intensities $9I$ and $4I$ when waves are (i) coherent and (ii) non-coherent.
Two lenses of powers +5D and –3D are placed in contact. Find (i) the focal length and (ii) the power of the combined lens.
Which colour of light has minimum deviation after passing white light through a prism?
State limitations of the formula for the refraction of light on a spherical surface: \[ \frac{n_1}{u} + \frac{n_2}{v} = \frac{n_2 - n_1}{R} \] where symbols have their usual meanings.
Find the refractive index of material of a prism, if the angle of prism and the angle of minimum deviation are equal to $A$.
Obtain the formula for the distance of $n^{th}$ order dark fringe from the central fringe with the help of Young’s double-slit experiment.
What is Huygens’ wave theory? Enunciate Snell’s law of refraction of light by using this theory.
The radius of curvature of a plastic hemisphere is $8 \, \text{cm}$ and refractive index is $1.6$. A point source $O$ is placed on the principal axis inside the hemisphere. Find the position of image of $O$ when it is:
viewed through the plane surface.
viewed through the spherical surface.
The first minima for the wavelength $\lambda_1 = 660 \, \text{nm}$ coincides with the first maxima of some other wavelength $\lambda_2$, in the single-slit diffraction experiment of light. Find out the value of wavelength $\lambda_2$.
The refracting angle of three prisms is $15^\circ$, but their refractive indices are 1.6, 1.5, and 1.4 respectively. If angles of deviation produced by them are $\delta_1, \delta_2,$ and $\delta_3$ respectively, then:
If the magnification of objective and eyepiece lenses of a compound microscope are $m_1$ and $m_2$ respectively, then write down the formula for the magnifying power of the microscope.
What is diffraction of light? Find the formula for the angular fringe width of the central maxima obtained in the diffraction pattern of monochromatic light by a single slit. Show the diagram of intensity distribution of light in the diffraction pattern.
Distance of the second dark fringe from the central maxima on the screen for \( 6000 \, \text{Å} \) wavelength.
Distance of the third bright fringe from the central maxima on the screen for \( 5000 \, \text{Å} \) wavelength.
The minimum distance from the central maxima at which the two wavelengths coincide for the bright fringes produced.
As shown in the figure, a ray of light is incident at an angle of \( 45^\circ \) at the surface AB of the transparent slab. Find the value of the minimum refractive index \( n \) of the slab, when there is total internal reflection of the light ray at the vertical face BC.
Two biconcave lenses of glass (\( n_g = \frac{3}{2} \)) of radius of curvature 10 cm are placed in contact. Water (\( n_w = \frac{4}{3} \)) is filled in between the lenses. Find the power and nature of the combined lens.
Draw a labelled ray diagram of a compound microscope, when final image is formed at infinity. On which factors does the magnifying power of the microscope depend?
What will be the angle of minimum deviation by a thin prism of 10° and refractive index 2?
In Young's double-slit experiment, the ratio of maximum and minimum intensity on the screen is 9:1. What should be the ratio of the width of the slits?
Stating Huygens' principle of secondary wavelets, throw light on its success and failure. Draw the wavefront of light emerging from a convex lens due to a point source of light placed on its focus.
What is the meaning of interference? Derive the expression for the intensity of the resulting wave due to interference of the waves \( y_1 = a_1 \sin(\omega t) \) and \( y_2 = a_2 \sin(\omega t + \phi) \). If \( a_1 = 5 \, \text{cm} \) and \( a_2 = 3 \, \text{cm} \), then find the ratio of maximum and minimum intensities of the resulting wave.
Draw a ray diagram for an astronomical telescope when the final image is formed at infinity. A building of height 100 m and at a distance of 2 km is seen through this telescope. Then what will be the height of the image formed by the objective of the telescope? Focal length of the objective is 150 cm.