MHT CET 2025 Physics Paper: 26 Apr, Shift 2

In series LCR circuit R $= 18\ \Omega$ and impedance is $30\ \Omega$. An rms voltage 210 V is applied across the circuit. The true power consumed in AC circuit is nearly

In an a.c. circuit containing $L, C, R$ in series the ratio of true power to apparent power is ( $Z =$ impedance of the circuit and R is the resistance)

The frequency at resonance for the circuit is

The magnetic moment of electron due to orbital motion is proportional to ( $n =$ principal quantum number)

The frequencies for series limit of Balmer and Paschen series are ' $\nu_1$ ' and ' $\nu_3$ ' respectively. If frequency of first line of Balmer series ' $\nu_2$ ' then the relation between $\nu_1, \nu_2$ and $\nu_3$ is

A capacitor of unknown capacity is connected across a battery of V volt. The charge stored in it is Q coulomb. When potential across the capacitor is reduced by $V_1$ volt, the charge stored in it becomes $Q_1$ coulomb. The potential V is

Five capacitors, each of capacitance ' $C$ ' are connected as shown in the figure. The ratio of equivalent capacitance between P and R and the equivalent capacitance between P and Q is

The function of a dielectric in a capacitor is

In the following circuit, current through ACB if each resistance $R = 4\ \Omega$ is

Kirchhoff's voltage law and current law are based (respectively) on the conservation of

Let $E_c$ and $E_p$ represents kinetic energy of electron and photon respectively. If de-Broglie wavelength of a photon is twice the de-Broglie wavelength of an electron then $E_p/E_c$ is (speed of electron $= C/100$ where C is the velocity of light)

The graph shows the variation of photocurrent with anode potential for four different radiations. Let $\mathrm{I_a}, \mathrm{I_b}, \mathrm{I_c}$ and $\mathrm{I_d}$ are intensities and $\mathrm{f_a}, \mathrm{f_b}, \mathrm{f_c}$ and $\mathrm{f_d}$ be the frequencies for the curves $\mathrm{a, b, c}$ and d respectively, then

A long rectangular conducting loop of width ' $l$ ', mass ' $m$ ' and resistance ' $R$ ' is placed partly in a perpendicular magnetic field ' B '. It is pushed downwards with velocity ' $V$ ' so that it may continue to fall freely. The velocity ' $V$ ' is

Two coils P and Q are kept near each other. When no current flows through coil P and current increases in coil Q at the rate $10\text{ A/s}$, the emf in coil P is 12 mV. When coil Q carries no current and current of 1.5 A flows through coil P, the magnetic flux linked with the coil Q in mWb is

The plot of magnetic flux ' $\phi$ ' linked with the coil versus current ' I ' is as shown in figure for two inductors $L_1$ and $L_2$. The self inductance of

The point charges $+q, -q, -q, +q, +Q$ and -q are placed at the vertices of a regular hexagon ABCDEF as shown in figure. The electric field at the centre of hexagon ' $O$ ' due to the five charges at $A, B, C, D$ and F is twice the electric field at centre ' O ' due to charge +Q at E alone. The value of $Q$ is

The depth at which acceleration due to gravity becomes $\frac{g}{n}$ is ( $R =$ radius of earth, $g =$ acceleration due to gravity) ( $n =$ integer)

A calorimeter contains 10 g of water at $20^\circ\text{C}$. The temperature fall to $15^\circ\text{C}$ in 10 min. When calorimeter contains 20 g of water at $20^\circ\text{C}$, it takes 15 min. for the temperature to become $15^\circ\text{C}$. The water equivalent at the calorimeter is

Two spherical black bodies have radii ' $R_1$ ' and ' $R_2$ '. Their surface temperatures are ' $T_1$ ' and ' $T_2$ '. If they radiate same power, then $\frac{R_2}{R_1}$ is

A black sphere has radius $R$ whose rate of radiation is E at temperature T. If radius is made R / 2 and temperature 3T, the rate of radiation will be

A mass ' M ' is suspended by a rope from a rigid support at point ' P ' as shown in figure. Another rope is tied at end ' Q ' and pulled horizontally with a force ' $F$ '. If the rope makes an angle ' $\theta$ ' with vertical then the tension in the string ' PQ ' is

A car moving at a speed ' v ' is stopped in a certain distance when the brakes produce a deceleration ' $a$ '. If the speed of the car is ' $nv$ ', what must be the deceleration of the car to stop it in the same distance and in the same time?

Two wires of equal lengths are bent in the form of a square and a circular loop. They are suspended in a uniform magnetic field and same current is passed through them. Torque experienced by

Lorentz magnetic force is acting on a particle of charge q moving with velocity $\vec{V}$ in a magnetic field $\vec{B}$. The work done by this force on the charged particle is

A radio active element has rate of disintegration 8000 disintegrations per minute at a particular instant. After four minutes it becomes 2000 disintegrations per minute. The decay constant per minute is

A simple pendulum is suspended from ceiling of a lift when lift is at rest its period is ' T '. With what acceleration ' $a$ ' should lift be accelerated upward in order to reduce the period to ' $T/2$ '? (take ' g ' as acceleration due to gravity)

A mass ' $M$ ' attached to a horizontal spring executes S.H.M. of amplitude $A_1$. When the mass M passes through its mean position, then a smaller mass ' $m$ ' is placed over it and both of them move together with amplitude $A_2$. The ratio $\left(\frac{A_1}{A_2}\right)$ is

A particle is performing S.H.M. starting from extreme position. Graphical representation shows that between displacement and acceleration, there is a phase difference of

Refractive index of a glass convex lens is 1.5. The radius of curvature of each of the two surfaces of the lens is 40 cm. The ratio of the power of the lens when immersed in a liquid of refractive index 1.25 to that when placed in air is

A man standing on a turn-table is rotating at a certain angular frequency with his arms outstretched. He suddenly folds his arms. If his moment of inertia with folded arms is $75\%$ of that with outstretched arms, then his rotational kinetic energy will

A solid sphere at rests rolls down an inclined plane of vertical height $h$ without sliding. Its speed on reaching the bottom of plane is ( $g =$ acceleration due to gravity)

A same torque is applied to a disc and a ring of equal mass and radii then

For a transistor, $\alpha_\text{dc}$ and $\beta_\text{dc}$ are the current ratios, then the value of $\frac{\beta_\text{dc} - \alpha_\text{dc}}{\alpha_\text{dc} \times \beta_\text{dc}}$

In a certain 2 -inputs logic gate, when inputs $\mathrm{A} = 0$ and $\mathrm{B} = 0$, then output $\mathrm{C} = 1$. And also when inputs $\mathrm{A} = 0,\ \mathrm{B} = 1$, then again output $\mathrm{C} = 1$. The gate must be

If p-n junction diode is forward biased, then

When one end of the capillary is dipped in water, the height of water column is ' $h$ '. The upward force of 108 dyne due to surface tension is balanced by the force due to the weight of water column. The inner circumference of the capillary is (surface tension of water $= 7.2 \times 10^{-2}\text{ N/m}$)

Under isothermal conditions, two soap bubbles of radii $r_1$ and $r_2$ coalesce to form a big drop. The radius of the big drop is

The work done in splitting a water drop of radius R into 64 droplets is ( $T =$ surface tension of water)

An ideal gas taken through a process ABCA as shown in figure. If the net heat supplied to gas in the cycle is 5 J, then the work done by the gas in process from C to A is

In the thermodynamic processes, which of the following statements is NOT true?

Two cylinders A and B fitted with piston contain equal amount of an ideal diatomic gas at temperature T K. The piston of cylinder A is free to move while that of cylinder $B$ is held fixed. The same amount of heat is given to the gas in each cylinder. If the rise of temperature of the gas in A is $dT_A$, then the rise in temperature of the gas in B is $\left(\gamma = \frac{C_p}{C_v}\right)$

In an experiment four quantities $p, q, r$ and s are measured with percentage $3\%, 2\%, 3\%$ and $1\%$ respectively. Quantity ' $A$ ' is calculated as follows

$A = \frac{pq^{2}}{r^{2}s^{4}}$, the percentage error in ' A ' is

The vector sum of two forces $\vec{A}$ and $\vec{B}$ is perpendicular to their vector difference. Hence forces $\vec{A}$ and $\vec{B}$ are

The closed and open organ pipes have same length. When they are vibrating simultaneously in first overtone, they produce four beats. The length of open pipe is made half and that of the closed pipe is made two times the original. Now the number of beats produced if the two pipes are vibrating in their fundamental modes simultaneously is

When the observer moves towards a stationary source with velocity $V_1$, the apparent frequency of emitted note is $F_1$. When observer moves away from the source with velocity $V_1$, the apparent frequency is $F_2$. If V is the velocity of sound in air and $F_1/F_2 = 2$ then $V/V_1$ is equal to

The fundamental frequency of an air column in a pipe closed at one end is 150 Hz. If the same pipe is open at both the end, the frequencies produced in Hz are

A musical instrument ' P ' produce sound waves of frequency ' $n$ ' and amplitude ' $A$ '. Another musical instrument ' $Q$ ' produces sound waves of frequency ' $\frac{n}{4}$ ' The waves produced by ' P ' and ' $Q$ ' have equal energies. If the amplitude of waves produced by ' P ' is ' $A_p$ ', the amplitude of waves produced by ' $Q$ ' will be

The polarising angle of transparent medium is ' $\theta$ '. Let the speed of light in the medium be ' v '. Then the relation between ' $\theta$ ' and ' $\mathrm{v}$ ' is [ $\mathrm{c} =$ velocity of light in air]

In Young's double slit experiment, in an interference pattern second minimum is observed exactly in front of one slit. The distance between the two coherent sources is ' $d$ ' and the distance between source and screen is ' $D$ '. The wavelength of light source used is

Graph shows the variation of fringe width ( X) versus distance of the screen from the plane of the slits (D) in Young's double slit experiment. (keeping other parameters same, $d =$ distance between the slits). The wavelength of light used can be calculated as