List of top Questions asked in MHT CET

A plane passes through \( (2, 1, 2) \) and \( (1, 2, 1) \) and parallel to the line \( 2x = 3y \) and \( z = 1 \), then the plane also passes through the point
In Young's double slit experiment let 'd' be the distance between two slits and 'D' be the distance between the slits and the screen. Using a monochromatic source of wavelength ' $\lambda$ ', in an interference pattern, third minimum is observed exactly in front of one of the slits. If at the same point on the screen first minimum is to be obtained, the required change in the wavelength is [ d&D are not changed].
The maximum velocity of the photoelectrons emitted by a metal surface is $9 \times 10^5 \text{ m/s}$. The value of ratio of charge (e) to mass (m) of the photoelectron is $1.8 \times 10^{11} \text{ C/kg}$. The value of stopping potential in volt is
When two tuning forks are sounded together, 6 beats per second are heard. One of the fork is in unison with $0.70 \text{ m}$ length of sonometer wire and another fork is in unison with $0.69 \text{ m}$ length of the same sonometer wire. The frequencies of the two tuning forks are}
An a.c. source is applied to a series LR circuit with $\text{X}_{\text{L}} = 3\text{R}$ and power factor is $\text{X}_1$. Now a capacitor with $\text{X}_{\text{c}} = \text{R}$ is added in series to LR circuit and the power factor is $\text{X}_2$. The ratio $\text{X}_1$ to $\text{X}_2$ is
A monoatomic ideal gas is heated at constant pressure. The percentage of total heat used in increasing the internal energy and that used for doing external work is $A$ and $B$ respectively. Then the ratio, $\text{A} : \text{B}$ is
In a transistor amplifier, AC current gain is $64$ , the load resistance is $5400\Omega$ and the input resistance of the transistor is $540\Omega$. The voltage gain is
Two long conductors separated by a distance ' d ' carry currents ' $\text{I}_1$ ' and ' $\text{I}_2$ ' in the same directions. They exert a force ' $F$ ' on each other. The distance between them is increased to ' $3 \text{ d}$ '. If new repulsive force of magnitude ' $\frac{2}{3} \text{ F}$ ' is found between these conductors, the required change in the magnitude and direction of one of the currents in the conductor is respectively}
If the length of the oscillating simple pendulum is made $\frac{1}{3}$ times the original keeping amplitude same then increase in its total energy at a place will be}
Two cells $E_1$ and $E_2$ having equal e.m.f ' $E$ ' and internal resistances $r_1$ and $r_2 (r_1 > r_2)$ respectively are connected in series. This combination is connected to an external resistance ' R '. It is observed that the potential difference across the cell $E_1$ becomes zero. The value of $R$ will be
If r.m.s. velocity of hydrogen molecules is 4 times that of an oxygen molecule at $47^{\circ}\text{C}$, the temperature of hydrogen molecules is (Molecular weight of Hydrogen and Oxygen are 2 and 32 respectively)}
In unbiased p-n junction diode
The escape velocity of a satellite from the surface of earth does NOT depend on
An ideal gas at pressure ' P ' and temperature ' T ' is enclosed in a vessel of volume ' $V$ '. Some gas leaks through a hole from the vessel and the pressure of the enclosed gas falls to ' $\text{P}'$ '. Assuming that the temperature ture of the gas remains constant during the leakage , the number of moles of the gas that have leaked is
Two parallel plate air capacitors of same capacity ' C ' are connected in parallel to a battery of e.m.f. ' $E$ '. Then one of the capacitors is completely filled with dielectric material of constant ' K '. The change in the effective capacity of the parallel combination is
A body slides down a smooth inclined plane of inclination $\theta$ and reaches the bottom with velocity V. If the same body is a ring which rolls down the same inclined plane then linear velocity at the bottom of plane is
To determine the internal resistance of a cell with potentiometer, when the cell is shunted by a resistance of $5\Omega$ the balancing length is $250 \text{ cm}$. When the cell is shunted by $20\Omega$, the balancing length of potentiometer wire is $400 \text{ cm}$. The internal resistance, of the cell is
A charged particle of mass '$m$' and charge '$q$' is at rest. It is accelerated in a uniform electric field of intensity '$E$' for time '$t$'. The kinetic energy of the particles after time $t$ is
In an $L - R$ circuit, the inductive reactance is equal to $\sqrt{3}$ times the resistance '$R$' of the circuit. An e.m.f. $\text{E} = \text{E}_0 \sin(\omega t)$ is applied to the circuit. The power consumed in the circuit is
If $L$ is the inductance and $R$ is the resistance then the SI unit of $\frac{L}{R}$ is
In Fraunhofer diffraction pattern, slit width is $0.2 \text{ mm}$ and screen is at $2 \text{ m}$ away from the lens. If the distance between the first minimum on either side of the central maximum is $1 \text{ cm}$ , the wavelength of light used is
The co-efficient of absorption and the coefficient of reflection of a thin uniform plate are $0.77$ and $0.17$ respectively. If $250 \text{ kcal}$ of heat is incident on the surface of the plate, the quantity of heat transmitted is
Bohr model is applied to a particle of mass m and charge $q$ is moving in a plane under the influence of a transverse magnetic field (B). The energy of the charged particle in the second level will be ( h = Planck's constant)
The magnetic flux through a coil is $4 \times 10^{-4} \text{ Wb}$ at time $t = 0$. It reduces to $30%$ of its original value in time $t$ second. If e.m.f. induced in the coil is $0.56 \text{ mV}$ then the value of $t$ is
A progressive wave of frequency $400 \text{ Hz}$ is travelling with velocity $336 \text{ m/s}$. How far apart are the two points on a wave which are $60^\circ$ out of phase?