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

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Physics
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A particle performing SHM starts equilibrium position and its time period is 16 seconds. After 2 seconds its velocity is π m/s. Amplitude of oscillation is ______. `(cos 45° = 1/sqrt2)`

[5] Oscillations
Chapter: [5] Oscillations
Concept: undefined >> undefined

In potentiometer experiment, null point is obtained at a particular point for a cell on potentiometer wire x cm long. If the length of the potentiometer wire is increased without changing the cell, the balancing length will ______. (Driving source is not changed) 

[9] Current Electricity
Chapter: [9] Current Electricity
Concept: undefined >> undefined

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In balanced meter bridge, the resistance of bridge wire is 0.1 Ω cm. Unknown resistance X is connected in left gap and 6 Ω in right gap, null point divides the wire in the ratio 2:3. Find the current drawn from the battery of 5 V having negligible resistance.

[9] Current Electricity
Chapter: [9] Current Electricity
Concept: undefined >> undefined

A mass m1 connected to a horizontal spring performs SHM with amplitude A. While mass m1 is passing through mean position, another mass m2 is placed on it so that both the masses move together with amplitude A1. The ratio of `"A"_1/"A"` is ______. (m2 < m1)

[5] Oscillations
Chapter: [5] Oscillations
Concept: undefined >> undefined

In the hydrogen atoms, the transition from the state n = 6 to n = 1 results in ultraviolet radiation. Infrared radiation will be obtained in the transition.

[15] Structure of Atoms and Nuclei
Chapter: [15] Structure of Atoms and Nuclei
Concept: undefined >> undefined

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

[3] Kinetic Theory of Gases and Radiation
Chapter: [3] Kinetic Theory of Gases and Radiation
Concept: undefined >> undefined

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 ______.

[7] Wave Optics
Chapter: [7] Wave Optics
Concept: undefined >> undefined

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)

[7] Wave Optics
Chapter: [7] Wave Optics
Concept: undefined >> undefined

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 ______.

[7] Wave Optics
Chapter: [7] Wave Optics
Concept: undefined >> undefined

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 ______.

[7] Wave Optics
Chapter: [7] Wave Optics
Concept: undefined >> undefined

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 ______.

[7] Wave Optics
Chapter: [7] Wave Optics
Concept: undefined >> undefined

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 ______.

[15] Structure of Atoms and Nuclei
Chapter: [15] Structure of Atoms and Nuclei
Concept: undefined >> undefined

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 ______.

[7] Wave Optics
Chapter: [7] Wave Optics
Concept: undefined >> undefined

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 ______.

 

[9] Current Electricity
Chapter: [9] Current Electricity
Concept: undefined >> undefined

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`
[7] Wave Optics
Chapter: [7] Wave Optics
Concept: undefined >> undefined

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 ______.

[5] Oscillations
Chapter: [5] Oscillations
Concept: undefined >> undefined

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 ______.

[7] Wave Optics
Chapter: [7] Wave Optics
Concept: undefined >> undefined

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

[5] Oscillations
Chapter: [5] Oscillations
Concept: undefined >> undefined

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 ______.

[7] Wave Optics
Chapter: [7] Wave Optics
Concept: undefined >> undefined

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 ______.

[3] Kinetic Theory of Gases and Radiation
Chapter: [3] Kinetic Theory of Gases and Radiation
Concept: undefined >> undefined
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