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

If a body is executing simple harmonic motion, then ______.

Two simple harmonic motion are represented by the equations, y₁ = 10 sin `(3pi"t"+pi/4)` and y₂ = 5`(3sin3pi"t"+sqrt3cos3pi"t")`. Their amplitudes are in the ratio of ______.

Halley's Comet revolves around the sun for a time period of 76 years. The aphelion distance if perihelion is given by 8.9 × 10¹⁰ m, will be ______.

(Take, the mass of sun = 2 × 10³⁰ kg and G = 6.67 × 10^-11 Nm³/kg²)

The temperature of a liquid drops from 365 K to 361 K in 2 min. Find the time during which the temperature of the liquid drops from 344 K to 342 K.

(Take, room temperature = 293 K)

An alternating voltage varies with time (t) as V = 100 sin (50 πt). The rms voltage and the frequency respectively, are ______.

When monochromatic light of frequency v₁ falls on a metal surface, the stopping potential required is found to be V₁. If the radiation of frequency v₂ is incident on the surface, the stopping potential required V₂ is ______. (v₂ > v₁)

A semicircular wire of radius a having λ as charge per unit length is shown in the figure. Find the electric potential at the centre of the semicircular wire. 

The magnetic susceptibility of a paramagnetic material at - 73°C is 0.0075. Its value at - 173°C will be ______.

A batsman hits a ball of mass 0.2 kg straight towards the bowler without changing its initial speed of 6 m/s. What is the impulse imparted to the ball?

A sound wave has a frequency of 500 Hz and a velocity of 350 m/s. The distance between the two particles having a phase difference of 60° is near ______

In conversion of moving coil galvanometer into an ammeter of required range, the resistance of ammeter, so formed is ______.
[S = shunt and G = resistance of galvanometer]

The current which flows in a galvanometer of Wheatstone bridge is directly proportional to ______

With resistances P and Q placed in the left and right gaps of a metre bridge, the balance point divides the wire in the ratio of 1/3. When P and Q are increased by 40 n each. the balance point divides the wire in the ratio of 3/5. The values of P and Q will be respectively, ______ 

Two sinusoidal plane waves of the same frequency having intensities I₀ and 4I₀ are travelling in the same direction. The resultant intensity at a point at which waves meet with a phase difference of zero radians is ______

Two waves of the same amplitude superimpose to produce two beats per second. What is the ratio of minimum loudness to that of one of the waves?

Two wires A and B of equal lengths are connected in left and right gap of a meter bridge, null point is obtained at 40 cm from left end. Diameters of the wire A and B are in that ratio 3 : 1. The ratio of specific resistance of A to the of B is ____________.

An iron rod is placed parallel to magnetic field of intensity 2000 A/m. The magnetic flux through the rod is 6 × 10⁻⁴ Wb and its cross-sectional area is 3cm². The magnetic permeability of the rod in `"Wb"/("A" - "m")` is ____________.

In a Wheatstone bridge, when the potentials at points B and D are the same, then the current through the galvanometer ______

In a metre bridge experiment, the null point is obtained at 20 cm from one end of the wire when resistance X is balanced against another resistance Y. If X < Y, then where will be the new position of the null point from the same end, if one decides to balance a resistance of 4X against Y?

An electron moves in a circular orbit with uniform speed v. It produces a magnetic field B at the centre of the circle. The radius of the circle is [µ₀ = permeability of free space, e = electronic charge]