MHT CET 2026 17th April Morning Shift

The resistor '$R$' inductance '$L$' and capacitance '$C$' are connected in series with an a.c. source. When 'L' is removed from the circuit, the phase difference between voltage and current in the circuit is $\dfrac{\pi}{3}$. If instead, C ...

The LC series resonant circuit produces a resonant frequency '$f$'. If L is tripled and 'C' is increased by 3C, the resonant frequency will be

In LCR series circuit at resonance

A transformer has 120 turns in the primary coil and carries 5A current. Input power is one kilowatt. To have 560 V output, the number of turns in secondary coil will be

For wavelength of visible radiation of Hydrogen spectrum, Balmer gave an equation as $\lambda = \dfrac{xm^2}{m^2-4}$, where m is the integer value. The value of x in terms of Rydberg's constant R is

The orbital magnetic moment $(m_{orb})$ of a revolving electron around the nucleus varies with the principal quantum number ($n$) as

The half-life of the isotope ${}_{11}\text{Na}^{24}$ is 15 hr. How much time does it take for $\left(\dfrac{7}{8}\right)^{\text{th}}$ of a sample of this isotope to decay ?

Three capacitors $C_1$, $C_2$ and $C_3$ are connected to voltage source V as shown in figure. The voltage across $C_3$ will be

Two capacitors, $C_1$ and $C_2$ have their capacitances in the ratio 1:2. $V_s$ and $V_p$ are the potential differences applied across the series and parallel combination of $C_1$ and $C_2$ respectively, so that the energy stored in the two...

Three identical spheres, each of mass 'm' kg, are kept as shown in the figure, touching each other, with their centers on a straight line. If their centers are marked as A, B, C respectively, the distance of center of mass of the system fro...

In the following figure, the current I is equal to

With a resistance '$X$' connected in series with a galvanometer of resistance $100\ \Omega$, it acts as a voltmeter of range 0 - 15 V. To double the range, a resistance of $1500\ \Omega$ is to be connected in series with '$X$'. The value of...

Photoelectric emission is observed from a metallic surface for frequencies $\nu_1$ and $\nu_2$ of the incident light rays ($\nu_1 > \nu_2$). If the ratio of maximum value of kinetic energy of the photoelectron emitted in first case to that ...

The kinetic energy of a free electron increases to 3 times the previous K.E. The ratio of new de-Broglie wavelength to previous de-Broglie wavelength is

Three coils of inductance, $L_1$ = 2 H, $L_2$ = 3 H and $L_3$ = 6 H are connected so that they are separated from each other. To obtain the effective inductance of $\dfrac{18}{11}$ H between points A and B, out of the following figures, the...

Two coils have self inductance $L_1$ and $L_2$. The current through them is increasing at constant rate. If the power dissipated in both the coils is same, then the ratio of energy stored in the coil having inductance $L_1$ to that in $L_2$...

Select the WRONG statement about polar molecules.

An electric dipole of length $3\text{cm}$ is placed with its axis making an angle of $60^\circ$ with a uniform electric field of $5 \times 10^4$ N/C. It experiences a torque of $9\sqrt{3}$ Nm. The magnitude of charge on the dipole is $(\sin...

The excess pressure inside a spherical water drop A is four times that of another water drop B. Then, the ratio of the mass of water drop A to that of drop B is

In a capillary tube of area of cross-section '$a$' water rises to height '$h$'. To what height will water rise in a capillary tube of area of cross-section $4a$?

A soap bubble of radius $\dfrac{1}{\sqrt{\pi}}$ cm is expanded to radius $\dfrac{3}{\sqrt{\pi}}$ cm. Surface tension of soap solution is 25 dyne/cm. The work done during expansion in erg is

The speed with which the earth would have to rotate about its axis so that a person on the equator would weigh $\dfrac{3}{5}$th as much as at present is ($g$ = gravitational acceleration, $R$ = equatorial radius of the earth.)

In an external environment of temperature ($T$) kelvin, a sphere at temperature ($3T$) kelvin has cooling rate $R_1$. When the temperature of that sphere falls to ($2T$) kelvin, the cooling rate $R_2$ of the sphere will become

'$x$' joule of heat is incident on a body. Out of it, the total heat reflected and transmitted by it is '$y$' joule. The absorption coefficient of the body is

Consider two rods 1 and 2 of same length. They have different specific heats $(C_1, C_2)$, thermal conductivities $(K_1, K_2)$ and area of cross-section $(A_1, A_2)$ respectively. Both the rods have temperatures $(T_1, T_2)$ at their ends. ...

A Carnot engine, whose efficiency is 40% takes heat from a source maintained at temperature 600K. To have an efficiency 60%, the intake temperature for the same exhaust temperature should be

The heat energy that must be supplied to 14 g of nitrogen at room temperature to raise its temperature by $48\ ^\circ\text{C}$ at constant pressure is ($R$ = gas constant, Molecular weight of nitrogen $(\text{N}_2)$ = 28)

The speeds of the seven molecules are 1, 3, 5, 7, 2, 4 and 6 km/s respectively. The ratio of their r.m.s. velocity and average velocity will be

Two balls A and B are projected at an angle of $45^\circ$ and $60^\circ$ respectively, so that the maximum heights reached are same for both. The ratio of initial velocity of projection of ball A to that for ball B is$(\sin 30^\circ = \cos ...

The magnetic field at the center of circular coil carrying current '$I$' for a single turn of a given length of wire is '$B$'. The same wire is bent in a circular coil having two turns. When the same current passes through it, the value of ...

The magnetic field at perpendicular distance '$r$' from a long wire carrying current '$I$' is '$B$'. The magnetic field at perpendicular distance '$2r$' from the same wire is

A lens of refractive index '$\mu$' has focal length '$f$'. When the lens is immersed in a liquid of refractive index '$\mu_0$', its focal length becomes '$f_0$'. Then '$f_0$' is given by

Four point masses m, 2m, 3m and 4m are kept at the corners A, B, C and D respectively of a square ABCD of side '$b$'. The moment of inertia of the system about an axis perpendicular to the plane of the square and passing through the point D...

A system of five solid spheres each of mass '$m$' and radius '$r$' are rotating about an axis AA' as shown in figure. Hence the moment of inertia of the system about the axis of rotation AA' is

Two bodies A and B have moment of inertia $I_A$ and $I_B$, and angular momenta $L_A$ and $L_B$ respectively. Both of them have same kinetic energy of rotation. So the ratio $L_A$ to $L_B$ is

To get the truth table shown from the following logic circuit, the gate G should be

When the Zener diode is used as a voltage regulator, it is connected in

In the circuit shown in figure all the three diodes D1, D2, D3 have forward resistance $50\ \Omega$ each and infinite backward resistance. If the battery voltage is 5V, the current through $100\ \Omega$ resistance is

Two simple pendulums of lengths $L_1$ and $L_2$ have periodic time $T_1$ and $T_2$ respectively $(T_1 > T_2)$. The time period of the pendulum of length $(L_1-L_2)$ is$[(L_1-L_2) > 60\text{ cm}]$

For a particle executing S.H.M., its potential energy is 8 times its kinetic energy at a certain displacement '$x$' from the mean position. If '$A$' is the amplitude of S.H.M., the value of '$x$' is

A particle executing simple harmonic motion starts from mean position with amplitude '$A$' and periodic time '$T$'. At what displacement is its speed one-fourth of the maximum speed?

Mass and volume of a body are found to be $(6.00 \pm 0.03)$ kg and $(2.00 \pm 0.02)$ $\text{m}^3$ respectively. Then the density of a body is

Resultant of two vectors $\vec{P}$ and $\vec{Q}$ is of magnitude A. If $\vec{Q}$ is reversed, then the resultant is of magnitude B. The value of $A^2 + B^2$ is

In telescopes for a given wavelength, the objectives with large aperture are used for

In Young's double slit experiment, width of the second slit is double the width of first slit, consequently the amplitude of the light from two slits. '$I_m$' is the maximum intensity. The resultant intensity '$I$' when they interfere with ...

In a single slit diffraction experiment, for wavelength '$\lambda$', half angular width of the principal maxima is '$\theta$'. Also for wavelength of light '$p\lambda$', the half angular width of the principal maxima is '$q\theta$'. The rat...

A and B are two wires whose fundamental frequencies are 256 Hz and 382 Hz respectively. When third harmonic of A and the second harmonic of B are sounded together, the number of beats heard in two second will be

In case of stationary wave pattern, which of the following statement is CORRECT ?

Out of the following musical instruments which is ' NOT ' a percussion instrument?

The enclosed air inside a closed box of rigid walls has pressure $P_1$. The density of air inside this box is constant. On heating the gas, the pressure of the enclosed air is increased from $P_1$ to $P_2$. Now it is observed that the sound...