List of top Questions asked in MHT CET

The flux linked with the coil at any instant ' t ' is given by \( \phi = 12t^2 - 60t + 275 \). The magnitude of induced e.m.f. at \( t = 3 \text{ second} \) is

Two bodies A and B have their moments of inertia ' \( I \) ' and ' \( 2 I \) ' respectively about their axis of rotation. If their kinetic energy of rotation are equal then angular momentum of body A to that of body \( B \) will be in the ratio

An ideal gas of mass \( M \) in the state \( A \) goes to another state \( B \) via three different processes. If \( Q_1, Q_2 \) and \( Q_3 \) denote the heat absorbed by the gas along the paths 1, 2 and 3 respectively, then

Two sounding sources send waves at certain temperature in air of wavelength \( 60 \text{ cm} \) and \( 60.6 \text{ cm} \) respectively. The frequency of sources differ by \( 5 \text{ Hz} \). The velocity of sound in air at same temperature is

A soap bubble of radius \( R \) is surrounded by another soap bubble of radius \( 2R \) as shown in figure. The excess pressure inside the smaller soap bubble will be (\( T \) = surface tension of soap solution)

Three charges \( Q, -2q \) and \( -2q \) are placed at the vertices of an isosceles right-angled triangle as shown in figure. The net electrostatic potential energy is zero if \( Q \) is equal to

To manufacture a solenoid of length ' \( l \) ' and inductance ' \( L \) ', the length of the thin wire required is (cross - sectional diameter of a solenoid is considerably less than length, \( \mu_0 = \) permeability of free space)

A spring has length ' \( L \) ' and force constant ' \( K \) '. It is cut into two springs of length ' \( L_1 \) ' and ' \( L_2 \) ' such that \( L_1 = nL_2 \) (n is an integer). The force constant of the spring of length ' \( L_2 \) ' is

The period of revolution of planet A around the sun is 8 times that of \( B \). The distance of \( A \) from the sun is how many times greater than that of \( B \) from the sun?

For a transistor, the current amplification factor \( \alpha \) is \( 0.8 \). The transistor is then connected in common emitter configuration. The change in the collector current when the base current changes by \( 6 \text{ mA} \) is

A blackbody at \( 1227^\circ\text{C} \) emits radiation with maximum intensity at a wavelength of \( 5600\,\text{\AA} \). If the temperature of the body is increased by \( 1000^\circ\text{C} \), the maximum intensity will be at wavelength

The third overtone of a closed pipe of length ' \( L_c \) ' has the same frequency as the third overtone of an open pipe of length ' \( L_o \) '. The ratio ' \( L_c \) ' : ' \( L_o \) ' is equal to (Neglecting end correction)

A resistor of \( 400\,\Omega \) and an inductance of \( 0.4\,\text{H} \) are in series with an a.c. source of e.m.f. \( E = 200\sqrt{2}\sin(1000t) \). The power factor of the circuit is

A plane wavefront of width ' \( x \) ' is incident on an air-water interface and the corresponding refracted wavefront has a width ' \( y \) ' as shown in figure. The refractive index of air with respect to water in terms of distances ' \( w \) ' and ' \( z \) ' is (AD = w, CB = z)

A solid sphere and a ring have equal mass and equal radius of gyration. If sphere is rotating about its diameter and ring about an axis passing through centre and perpendicular to its plane, then the ratio of radius of sphere to that of ring is \( \sqrt{\frac{x}{2}} \) then the value of ' x ' is

The intermediate image formed by an objective lens of a compound microscope is

Identify a molecule having octahedral geometry as per VSEPR theory.

What is the radius of first orbit of monopositive helium ion?

The centre of mass of a system of particles does NOT depend on

Calculate the mass of solute dissolved in \(1 \text{ dm}^3\) water has osmotic pressure \(3.0 \text{ atm}\) at \(300 \text{ K}\)
\([ \text{Molar mass of solute} = 41 \text{ g mol}^{-1}, \text{R} = 0.082 \text{ dm}^3 \text{ atm K}^{-1} \text{ mol}^{-1} ]\)

Identify functional group from following that forms pink colour when schiffs reagent is added in it.

Calculate the number of atoms in 0.4 gram of metal if it forms fcc structure.
\([ \rho \times a^3 = 1.2 \times 10^{-22} \text{ g} ]\)

Identify oxidant in following reaction.
\[ 3\text{H}_3\text{AsO}_{3(aq)} + \text{BrO}^-_{3(aq)} \longrightarrow \text{Br}^-_{(aq)} + 3\text{H}_3\text{AsO}_{4(aq)} \]

What is the representation of element ( X ) having mass number 40 containing 22 neutrons.

Which of the following is a tertiary allylic alcohol?