List of top Questions asked in MHT CET

The self inductance L of a solenoid of length \(l\) and area of cross-section A, with a fixed number of turns N increases as

An alternating voltage given as, \(E=100\sqrt{2}\sin (100t)\) volt is applied to a capacitor of \(1\ \mu \text{F}\). The current reading of the ammeter will be equal to

In an LCR series circuit, at resonance,

In an AC circuit, E and I are given by \(E=150\,\sin (150t)\) V and \(I=150\,\sin \left(150t+\frac{\pi }{3}\right)\) A. The power dissipated in the circuit is
\(\{\cos 60^{\circ }=1/2\}\)

The magnetic flux near the axis and inside the air core solenoid of length \(60\ \text{cm}\) carrying current \({}'I'\) is \(1.57\times 10^{-6}\ \text{Wb}\). Its magnetic moment will be \(\{\)cross-sectional area of a solenoid is very small as compared to its length, \(\mu _{0}=4\pi \times 10^{-7}\ \text{SI unit}\}\)

In a cyclotron, a charged particle

A wire of length \(1\ \text{m}\) is moving at a speed of \(2\ \text{m/s}\) perpendicular to its length in a homogeneous magnetic field of \(0.5\ \text{T}\). If the ends of the wire are joined to a circuit of resistance \(6\ \Omega\), then the rate at which work is being done to keep the wire moving at constant speed is

A magnetizing field of \(360\ \text{A/m}\) produces a magnetic flux density \(B=0.6\ \text{T}\) in a ferromagnetic material. The permeability of the material in T-m/A is

Three point charges \(q_{1}=1\ \mu \text{C}\), \(q_{2}=-2\ \mu \text{C}\), and \(q_{3}=3\ \mu \text{C}\) are placed at \((1,0,0)\), \((0,2,0)\) and \((0,0,3)\) respectively. The electric potential at origin is \(\left\{\frac{1}{4\pi \epsilon _{0}}=9\times 10^{9}\ \text{SI unit}\right\}\)

The range of voltmeter is \(10\ \text{V}\) and its resistance is \(50\ \Omega\). To convert it to a voltmeter of range \(15\ \text{V}\), how much resistance is to be added?

Two point charges \(+8q\) and \(-2q\) are located at \(x=0\) and \(x=L\) respectively. What is the location of a point on the x-axis from the origin, at which the net electric field due to these two point charges is zero?

Two sources of sound placed close to each other are emitting progressive waves given by
\(y_{1}=4\,\sin (600\pi t)\) and \(y_{2}=5\,\sin (608\pi t)\).
An observer located near these two sources of sound will hear

A uniform rope of length \(L\) and mass \(m_{1}\) hangs vertically from a rigid support. A block of mass \(m_{2}\) is attached to the free end of the rope. A transverse pulse of wavelength \(\lambda _{1}\) is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is \(\lambda _{2}\). The ratio \(\frac{\lambda _{2}}{\lambda _{1}}\) is

A vibrating string of certain length \({}'l'\) under a tension \({}'T'\) resonates with a mode corresponding to the first overtone of an air column of length \(75\ \text{cm}\) inside a tube closed at one end. The string also generates \(4\) beats/s, when vibrated along with a tuning fork of frequency \({}'n'\). Increasing the tension of the string reduces the beat frequency. The frequency \({}'n'\) of the tuning fork in Hz is \(\{\)Velocity of sound in air is \(340\ \text{m/s}\}\)

A source of sound vibrating at frequency \(500\ \text{Hz}\) is rotated in a circle of radius \(\frac{100}{\pi }\ \text{cm}\) at a constant angular speed of \(5\) revolutions per second. A listener is in the plane of the circle. The maximum and minimum frequency of sound heard are \(\{\)Speed of sound on air \(=332\ \text{m/s}\}\)

Three electric charges \(2q\), \(2q\), \(-4q\) are placed at the corners of equilateral triangle of side \({}'x'\). The magnitude of electric dipole moment of the system is

Pressure exerted by an ideal gas on the walls of the container is equal to
a) mean kinetic energy per unit volume.
b) half of mean kinetic energy per unit volume.
c) one-third of mean kinetic energy per unit volume.
d) two-third of mean kinetic energy per unit volume.

The periodic time of a simple pendulum, (the simple pendulum with its bob is in air) is T. But if the bob of the simple pendulum is completely immersed in a non viscous liquid, whose density is \(\frac{1}{20}\) times the density of material of the bob, then its new period will be

The pressure \(P\), volume \(V\) and temperature \(T\) of a gas in the jar A and the other gas in the jar B is at pressure \(2P\), volume \(V/4\) and temperature \(2T\), then the ratio of the number of molecules in the jar A and B will be

The ratio of emissive power of perfectly black body at \(1327\ ^{\circ }\text{C}\) to that at \(527\ ^{\circ }\text{C}\) is

If two temperatures differ by \(25\ ^{\circ }\text{C}\) on Celsius scale, the difference in temperature on Fahrenheit scale is

Which of the following statements is NOT CORRECT?
In an isothermal process,
a. there is perfect thermal equilibrium with environment.
b. there is no change in internal energy during the process.
c. the work done is equal to zero.
d. the time taken is very large.

Four particles of equal masses \((M)\) move along the circle of radius \(R\) under the action of their mutual gravitational attraction. The magnitude of net gravitational force on each particle is
\(\{\cos (90)^{\circ }=0\}\)

The excess pressure inside a spherical soap bubble X, is six times that of another spherical soap bubble Y. The ratio of mass of bubble X to that of bubble Y is

Consider a uniform square plate of side \({}'a'\) and mass \({}'m'\). The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is