List of top Questions asked in MHT CET

A thin uniform rod of length 'L' and mass 'M' is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is '$\omega$'. Its centre of mass rises to a maximum height of ______.
If the frequency of incident light in a photoelectric experiment is doubled, then stopping potential will ______.
In a common emitter amplifier configuration, the current gain is 62. The collector resistance and input resistance are 5k$\Omega$ and 500$\Omega$ respectively. If the input voltage is 0.01 V, the output voltage will be ______.
In a biprism experiment, source of light of wavelength 5000\AA{ is replaced by a source of 6400\AA{}. The fringe width will ______.
A constant force $\vec{F} = 3\hat{i} - 2\hat{j} - \hat{k}$ N has a displacement $\vec{r} = 2\hat{i} - 3\hat{j} - 3\hat{k}$ m in 2 second. The work done and the power are respectively ______.
Two girls are standing at the ends 'A' and 'B' of a ground where $AB = b$. The girl at 'B' starts running perpendicular to 'AB' with velocity $V_1$. The girl at 'A' starts running simultaneously with velocity $V_2$ and in shortest distance meets the other girl in time 't'. The value of 't' is ______.
A coil of wire of radius 'r' has 600 turns and a self-inductance of 108 mH. The self-inductance of a coil with same radius and 500 turns is ______.
Using Bohr's quantisation condition, what is the rotational energy in the second orbit for a diatomic molecule? ($I$ = moment of inertia and $h$ = Planck's constant) ______.
Assuming the drops to be spherical, 27 identical drops of mercury are charged simultaneously to the same potential of 20 volt. If all the charged drops are made to combine to form one big drop, then potential of big drop will be ______.
An object of mass 'm' moving with velocity 'u' collides with another stationary object of mass 'M' and stops just after the collision. The coefficient of restitution is ______.
A sample of an ideal gas ($\gamma = 5/3$) is heated at constant pressure. If 100 J of heat is supplied to the gas, the work done by the gas is ______.
The amount of work done in blowing a soap bubble such that its diameter increases from 'd' to 'D' is ($T$ = surface tension of solution) ______.
As shown in the figure, $S_1$ and $S_2$ are identical springs with spring constant K each. The oscillation frequency of the mass 'm' is 'f'. If the spring $S_2$ is removed, the oscillation frequency will become ______.
In the following figure magnitude of the magnetic field at the point p is ______.
A balloon is filled at 27$^\circ$C and 1 atmospheric pressure by volume 500 m$^3$ helium gas. At -3$^\circ$C and 0.5 atmospheric pressure, the volume of helium gas will be ______.
In an open end organ pipe of length 'L', if the velocity of sound is 'V', then the fundamental frequency will be (Neglect end correction) ______.
An electron of mass 'm' and charge 'e' initially at rest gets accelerated by a constant electric field 'E'. The rate of change of de-Broglie wavelength of the electron at time 't' is (Ignore relativistic effect) ($h$ = Planck's constant) ______.
In an a.c. circuit, a resistance 'R' is connected in series with an inductance 'L'. If phase angle between voltage and current is 45$^\circ$, the value of inductive reactance will be ($\tan 45^\circ = 1$) ______.
At what speed should a source of sound move away from a stationary observer so that the observer finds the apparent frequency equal to half the original frequency?
Two batteries of e.m.f 4 V and 8 V with internal resistance 1$\Omega$ and 2$\Omega$ respectively are connected in series (opposing) with a 9$\Omega$ resistor. The current and potential difference between points 'P' and 'Q' is \dots
A particle starts oscillating simple harmonically from its mean position with time period 'T'. At time $t = T/6$, the ratio of the potential energy to kinetic energy of the particle is \dots
A glass cube of length 21 cm has a small air bubble trapped inside. When viewed normally from one face, the bubble appears to be at 12 cm. When viewed normally from the opposite face, its apparent distance is 6 cm. The refractive index of glass and the actual distance of the air bubble from the first surface respectively are \dots
Note: Based on standard physical constraints, there is a known typographical error in the standard transcript of this exam question. To yield $\mu \approx 1.5$ (glass), the apparent depth from the first face was intended to be 8 cm, not 12 cm. We will demonstrate the solution finding the closest logical answer based on standard glass refraction values.
Two identical metal plates are given charges $q_1$ and $q_2$ ($q_2 < q_1$) respectively. If they are now brought close together to form a parallel plate capacitor with capacitance 'C', the potential difference 'V' between the plates is \dots
In hydrogen atom in its ground state, the first Bohr orbit has radius $r_1$. When the atom is raised to one of its excited states, the electron's orbital velocity becomes one-third. The radius of that orbit is \dots
Heat supplied $dQ$ = increase in internal energy $dU$ is true for \dots