List of top Questions asked in MHT CET

A $20\Omega$ resistance, $10\text{ mH}$ inductance coil and $15\mu\text{F}$ capacitor are joined in series. When a suitable frequency alternating current source is joined to this combination, the circuit resonates. If the resistance is made $\frac{1}{3}\text{rd}$, the resonant frequency}

A tyre of a vehicle is filled with air having pressure $270\text{ kPa}$ at $27^\circ\text{C}$ . The air pressure in the tyre when the temperature increases to $37^\circ\text{C}$ is

A parallel beam of light is incident normally on a plane surface absorbing 50% of the light and reflecting the rest. If the incident beam carries $90\text{ W}$ of power, the force exerted by it on the surface is ( $\text{C} =$ velocity of light in air $= 3 \times 10^8\text{ m/s}$ )}

A body cools from $60^\circ\text{C}$ to $40^\circ\text{C}$ in 6 minutes. After next 6 minutes its temperature will be (Temperature of the surroundings is $10^\circ\text{C}$ )}

The period of S. H.M. of a particle is 16 second. The phase difference between the positions at $\text{t} = 2\text{ s}$ and $\text{t} = 4\text{ s}$ will be}

A coil of self-inductance $L$ is connected in series with a bulb and an a. c. source. Brightness of the bulb decreases when

If $\vec{A} = \hat{i} + \hat{j} + 3\hat{k}$, $\vec{B} = -\hat{i} + \hat{j} + 4\hat{k}$ and $\vec{C} = 2\hat{i} - 2\hat{j} - 8\hat{k}$, then the angle between the vectors $\vec{P} = \vec{A} + \vec{B} + \vec{C}$ and $\vec{Q} = (\vec{A} \times \vec{B})$ is (in degree)}

In Young's double slit experiment, when light of wavelength $600\text{ nm}$ is used, 18 fringes are observed on the screen. If the wavelength of light is changed to $400\text{ nm}$ , the number of fringes observed on the screen is

For an ideal diode, in forward and reverse biased condition the resistance is respectively

In Young's double slit experiment, the distance between screen and aperture is $1\text{ m}$ . The slit width is $2\text{ mm}$ . Light of $6000\text{ \AA}$ is used. If a thin glass plate ( $\mu = 1.5$ ) of thickness $0.04\text{ mm}$ is placed over one of the slits, then there will be a lateral displacement of the fringes by}

For a particle moving in a circle with constant angular speed, which of the following statements is 'false'?

Light of wavelength ' $\lambda$ ' falls on a metal having work function $\frac{\text{hc}{\lambda_0}$. Photoelectric effect will take place only if ( $\lambda_0$ is the threshold wavelength)}

A student measures time for 20 oscillations of a simple pendulum as \(30\text{ s}, 32\text{ s}, 35\text{ s}\) and \(35\text{ s}\) . If the minimum division in the measuring clock is \(1\text{ s}\) , then correct mean time (in second) is

A wire has three different sections as shown in figure. The magnitude of the magnetic field produced at the centre '\(O\)' of the semicircle by three sections together is ( \(\mu_0 =\) permiability of free space)

In fundamental mode, the time required for the sound wave to reach up to closed end of a pipe filled with air is '\(t\)' second. The frequency of vibration of air column is (Neglect end correction)

For the following reaction, the particle ' x ' is \({}_6\text{C}^{11} \longrightarrow {}_5\text{B}^{11} + \beta^+ + \text{X}\)

When an observer moves towards a stationary source with velocity '\(V_1\)', the apparent frequency of emitted note is '\(F_1\)'. When observer moves away from stationary source with velocity '\(V_1\)' the apparent frequency is '\(F_2\)'. If '\(v\)' is velocity of sound in air and \(\frac{F_1}{F_2} = 2\), then \(\frac{v}{V_1}\) is equal to

Two discs A and B of same material and thickness have radii \(R\) and \(3R\) respectively. Their moments of inertia about their axis will be in the ratio

Which one of the following person is in an inertial frame of reference?

The potential difference \((V_A - V_B)\) between the points A and B in the given figure is

For a perfectly black body, coefficient of emission is

In hydrogen spectrum, the ratio of wavelengths of the last line of Lyman series and that of the last line of Balmer series is

The differential equation whose solution represents the family $x^2y = 4e^x + c$, where c is an arbitrary constant, is

The sum of the degree and order of the differential equation $\sqrt{\frac{d^2y}{dx^2}} = \sqrt[5]{\frac{dy}{dx}} - 5$ is

If $A = \begin{bmatrix} 1 & \tan x \\ -\tan x & 1 \end{bmatrix}$, then $A^T A^{-1} =$}