MAH-MHT CET (PCM/PCB) entrance exam Question Bank Solutions

If the absolute temperature of a gas is increased 5 times, then the rms velocity of the gas molecules will be ______.

A vessel of depth 2d cm is half filled with a liquid of refractive index μ₁ and the upper half with liquid of refractive index μ₂, the apparent depth as seen normally is ______.

A small bulb is placed at the bottom of a tank containing water to a depth of 80 cm. What is the area of the surface of water through which light from the bulb can emerge out? Refractive index of water is 1.33. (Consider the bulb to be a point source)

A point source S is placed at the bottom of a transparent block of height 10 mm and refractive index 2.72. It is immersed in a lower refractive index liquid as shown in the figure. It is found that the light emerging from the block to the liquid forms a circular bright spot of diameter 11.54 mm on the top of the block. The refractive index of the liquid is ______.

A transparent solid cylindrical rod has a refractive index of ​`2/sqrt3`​. It is surrounded by air. A light ray is incident at the midpoint of one end of the rod as shown in the figure. The incident angle θ for which the light ray grazes along the wall of the rod is ______.

Light of wavelength 6000 Å incident on a single slit. The first minimum of the diffraction pattern is obtained at 4 min from the centre. The screen is at a distance of 2m from the silt. The slit width will be ______.

The frequency of the series limit of the Balmer series of the hydrogen atoms of Rydberg’s constant R and velocity of light c is ______.

Light of wavelength 6000 Å falls on a single slit of width 0.1 mm. The second minimum will be formed for the angle of diffraction of ______.

A potentiometer wire AB having length L and resistance 12r is joined to a cell D of emf ε and internal resistance r. A cell C having emt `ε/2` and internal resistance 3r is connected. The length AJ at which the galvanometer as shown in the figure shows no deflection is ______.

A beam of light is travelling from region II to region III (see the figure). The refractive index in the region I, II and III are n₀​, `​"n"_0/sqrt2`​​ and `"n"_0/sqrt2`​​ respectively. The angle of incidence θ for which the beam just misses entering region III is ______.

Region I	Region II	Region III
n0	n0`sqrt2`	n0`sqrt2`

A sinusoidal wave travelling in the same direction have amplitudes of 3 cm and 4 cm and difference in phase by `pi/2`. The resultant amplitude of the superimposed wave is ______.

A beaker contains water up to a height h₁​ and kerosene of height h₂​ above water, so that the total height of (water + kerosene) is (h₁ ​+ h₂​). Refractive index of water is μ₁​ and that of kerosene is μ₂​. The apparent shift in the position of the bottom of the beaker when viewed from above is ______.

The motion of a particle varies with time according to the relation y = a sin ω t + a cos ω t. Then, ______. 

A ball is dropped from a height of 20 m above the surface of water in a lake. The refractive index of water is `4/3`. A fish inside the lake, in the line of fall of the ball is looking at the ball. At an instant, when the ball is 12.8 m above the water surface, the fish sees the speed of ball as ______.

The graph of kinetic energy against the frequency v of incident light is as shown in the figure. The slope of the graph and intercept on X-axis respectively are ______.

How the linear velocity 'v' of an electron in the Bohr orbit is related to its quantum number 'n'?

The radius of electron's second stationary orbit in Bohr's atom is R. The radius of the third orbit will be ______

The ratio of speed of an electron in the ground state in the Bohr's first orbit of hydrogen atom to velocity of light (c) is ____________.

(h = Planck's constant, ε₀ = permittivity of free space, e = charge on electron)

Light entering an air glass (µ = 1.5) boundary is partly reflected and partly refracted. If the incident and reflected rays are at right angles to each other, the angle of refraction r is given by ____________.

Using Bohr's model, the orbital period of electron in hydrogen atom in nth orbit is (ε₀ = permittivity of free space, h = Planck's constant, m = mass of electron and e = electronic charge)