List of top Questions asked in MHT CET

A progressive wave of frequency 50 Hz is travelling with velocity 350 m/s through a medium. The change in phase at a given time interval of 0.01 second is
A black body has maximum wavelength \( \lambda_m \) at temperature 2000 K. Its corresponding wavelength at temperature 3000 K will be
A black rectangular surface of area 'a' emits energy 'E' per second at 27°C. If length and breadth is reduced to \(\left(\frac{1}{3}\right)^{\text{rd}}\) of initial value and temperature is raised to 327°C then energy emitted per second becomes
An air filled parallel plate capacitor has a capacity \(2\ \text{pF}\). The separation of the plates is doubled and the interspace between the plates is filled with dielectric material, then the capacity is increased to \(6\ \text{pF}\). The dielectric constant of the material is
A monoatomic gas at pressure ‘P’ having volume ‘V’ expands isothermally to a volume 2 V and then adiabatically to a volume 16 V. The final pressure of the gas is \(\gamma = \frac{5}{3}\)
A particle moves in a circular orbit of radius 'r' under a central attractive force, \( F = -\frac{k}{r} \), where k is a constant. The periodic time of its motion is proportional to
A particle of mass 'm' collides with another stationary particle of mass 'M'. A particle of mass 'm' stops just after collision. The coefficient of restitution is
A ray of light is incident at an angle 'i' on one face of thin prism. The ray emerges normally from the other face. Refractive index of the glass prism is 'n' and angle of prism is 'A'. The value of 'i' is
When an electron in hydrogen atom jumps from third excited state to the ground state, the de-Broglie wavelength associated with the electron becomes
A long solenoid carrying a current produces a magnetic field B along its axis. If the number of turns per cm is doubled and the current is made 1/3 rd, then the new value of the magnetic field will be
The temperature difference between two sides of metal plate, 3 cm thick is 15°C. Heat is transmitted through plate at the rate of 900 kcal per minute per m² at steady state. The thermal conductivity of metal is
The current in the following circuit is
Light of frequency two times the threshold frequency is incident on photosensitive material. If the incident frequency is made 1/3 rd and intensity is doubled, then the photoelectric current will
In diffraction experiment, from a single slit, the angular width of central maximum does NOT depend upon
For a transistor, $\frac{1}{\alpha_{DC}} - \frac{1}{\beta_{DC}}$ is equal to [$\alpha_{DC}$ and $\beta_{DC}$ are current amplification factors]
A charge moves with velocity 'V' through electric field (E) as well as magnetic field (B). then the force acting on it is
The resultant capacity between points A and B in the given circuit is
In a pure silicon, number of electrons and holes per unit volume are $1.6 \times 10^{16}\ \text{m}^{-3}$. If silicon is doped with Boron in a way that on doping hole density increases to $4 \times 10^{22}\ \text{m}^{-3}$. Then electron density in doped semiconductor will be
The curves $\frac{x^2}{a^2} + \frac{y^2}{4} = 1$ and $y^3 = 16x$ intersect each other orthogonally, then $a^2 =$
The molar specific heats of an ideal gas at constant pressure and volume are denoted by ' $C_p$ ' and ' $C_v$ ' respectively. If $\gamma = \frac{C_p}{C_v}$ and ' R ' is universal gas constant, then $C_v$ is equal to
The magnetic potential energy stored in a certain inductor is $25\ \text{mJ}$, when the current in the inductor is $50\ \text{mA}$. This inductor is of inductance
If $p, q$ are true statements and $r$ is false statement, then which of the following is correct.
A pendulum is oscillating with frequency 'n' on the surface of the earth. It is taken to a depth $\frac{R}{2}$ below the surface of earth. New frequency of oscillation at depth $\frac{R}{2}$ is [R is the radius of earth]
The number of ways in which 8 different pearls can be arranged to form a necklace is
$\int e^{\tan x}(\sec ^2 x+\sec ^3 x \sin x) d x=$