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A rectangular glass slab ABCD of refractive index `n_1` is immersed in water of refractive index `n_2(n_1>n_2)`. A ray of light incident at the surface AB of the slab as shown. The maximum value of the angle of incidence `alpha_(max)`, such that the ray comes out only from the other surface CD, is given by
A ray of light passes through media with refractive indices `mu_1, mu_2, mu_3` and `mu_4 `as shown in the figure. The surface of all media are parallel. If the emergent ray CD is parallel to the incident ray AB, we must have
An observer can see through a pin-hole the top end of a thin rod of height h, placed as shown in the figure. The beaker height is 3h and its radius h. when the beaker is filled with a liquid up to a height 2h, he can see the lower end of the rod. Then the refractive index of the liquid is
Which one of the following lenses does not exhibit dispersion? The radii of curvature of the surface of the lenses are as given in the diagrams
Two plane mirrors A and B are aligned parallel to each other, as shown in the figure. A light ray is incident at an angle `30^o` at a point just inside one end of A. The plane of incidence coincides with the plane of the figure. The maximum number of times the ray undergoes reflections (including the first one) before it emerges out is
A point object is placed at a distance of 20 cm from a thin plano convex lens of focal length 15 cm. The plane surface of the lens is now silvered. The image created by the system is at
A convex lens is in contact with concave lens. The magnitude of the ratio of their focal length is `3/2`. Their equivalent focal length is 30 cm. What are their individual focal length?
In Young’s double slit experiment intensity at a point is `(1/4)` of the maximum intensity. Aangular position of this point is
In the adjacent diagram, CP represents a wavefront and AO and BP, the corresponding two rays. Find the condition of `theta` for constructive interference at P between the ray BP and reflected ray OP
In a YDSE bi-chromatic light of wavelength 400 nm and 560 nm are used. The distance between the slits is 0.1 nm and the distance between the plane of the slit and the screen is 1 m. The minimum distance between two successive regions of complete darkness is
A point object is placed at the centre of a glass sphere of radius 6 cm and refractive index 1.5. The distance of the virtual image from the surface of the sphere is
White light is incident on the interface of glass and air as shown in the figure. If green light is just totally internally reflected then the emerging ray in air contains.
A ray of light is incident at the glass-water interface at an angle I, it emerges finally parallel to the surface of water, then the value of `mu_g` would be
In the ideal double-slit experiment, when a glass-plate (refractive index 1.5) of thickness t is introduced in the path of one of the interfering beams (wavelength `lambda`) the intensity at the position where the central maximum occurred previously remains unchanged. The minimum thickness of the glass-plate is
A ray of light travelling in water is incident on its surface open to air. The angle of incidence is `theta`, which is less than the critical angle. Then there will be
The equation of a progressive wave is `Y = a sin (omegat- kx)`, then the velocity of the wave is
Phase difference between a particle at a compression and a particle at the next rarefaction is
A metal string is fixed between rigid supports. lt is initially at negligible tension. It's young's modulus is 'Y' density is `rho` and coefficient of linear expansion is `alpha` . It is now cooled through a temperature 't', transverse waves will move along it with a speed.
A wave is represented by an equation; `Y = A cos kx sin omegat`, then
The equation of a stationary wave in a medium is given as `y = sin omegat cos kx.` The length of a loop in fundamental mode is
