MHT CET 2025 Physics Paper: 22 Apr, Shift 2

An alternating e.m.f. is given by $e = e_0 \sin \omega t$. In how much time the e.m.f. will have half its maximum value, if e starts from zero?

$(T =$ Time Period, $\sin 30^\circ = \frac{1}{2})$

A coil has inductance 2 H. The ratio of its reactance when it is connected first to an a.c. source and then to a d.c. source is

When a capacitor is connected in series LR circuit, the alternating current flowing in the circuit

Initially $n$ identical capacitors are joined in parallel and are charged to potential V. Now they are separated and joined in series. Then

A car is driven on the banked road of radius of curvature 20 m with maximum safe speed. In order to increase its safety speed by $20\%$, without changing the angle of banking, the increase in the radius of curvature will be [Assume friction is same on the road]

In the given circuit, current flowing through the circuit is

When cell of e.m.f. ' $E_1$ ' is connected to potentiometer wire, the balancing length is ' $l_1$ '. Another cell of e.m.f. ' $E_2$ ' $(E_1 > E_2)$ is connected so that two cells oppose each other, the balancing length is ' $l_2$ '. The ratio $E_1 : E_2$ is

The de-Broglie wavelength of a neutron at $27^\circ\text{C}$ is ' $\lambda_0$ '. What will be its wavelength at $927^\circ\text{C}$?

When the electron orbiting in hydrogen atom goes from one orbit to another orbit (principal quantum number $= n$ ), the de-Broglie wavelength ( $\lambda$) associated with it is related to $n$ as

Photoelectric emission takes place from a certain metal at threshold frequency $\nu$. If the radiation of frequency $4\nu$ is incident on the metal plate, the maximum velocity of the emitted photoelectrons will be ( $m =$ mass of photoelectron, $h =$ Planck's constant)

A graph of magnetic flux $(\phi)$ versus current $(I)$ is shown for four inductors $P, Q, R, S$. The largest value of self-inductance is for inductor

A charge $Q\ \mu\text{C}$ is placed at the centre of a cube. The flux through two opposite faces of the cube is ( $\varepsilon_0 =$ permittivity of free space)

Three charges each of magnitude $3\mu\text{C}$, are placed on the vertices of an equilateral triangle of side 6 cm. The net potential energy of the system will be nearly $\Bigg[\frac{1}{4\pi\epsilon_0} = 9 \times 10^{9}$ SI unit $\Bigg]$

The magnitude of gravitational potential energy of a body at a distance ' $R$ ' from the centre of the earth is ' E '. Its weight at a distance ' 1.5 R ' from the centre of the earth is

The two ends of a rod of length ' $x$ ' and uniform cross-sectional area ' A ' are kept at temperatures ' $T_1$ ' and ' $T_2$ ' respectively ( $T_1 > T_2$ ). If the rate of heat transfer is ' $Q/t$ ', through the rod in steady state, then the coefficient of thermal conductivity ' K ' is

Two bodies A and B at temperatures ' $T_1$ ' K and ' $T_2$ ' K respectively have the same dimensions. Their emissivities are in the ratio $16 : 1$. At $T_1 = xT_2$, they radiate the same amount of heat per unit area per unit time. The value of $x$ is

Black bodies A and B radiate maximum energy with wavelength difference $4\,\mu\text{m}$. The absolute temperature of body A is 3 times that of B. The wavelength at which body $B$ radiates maximum energy is

A constant force acts on two different masses independently and produces accelerations $A_1$ and $A_2$. When the same force acts on their combined mass, the acceleration produced is

Magnetic hysteresis is exhibited by magnetic materials which are

At any time ' $t$ ', the co-ordinates of moving particle are $x = at^2$ and $y = bt^2$. The speed of the particle is

Two similar 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

A wire of length $L$ carries current $I$ along x - axis. A magnetic field $\vec{B} = B_0(\hat{i} - \hat{j} - \hat{k})\text{ T}$ acts on the wire. The magnitude of magnetic force acting on the wire is

A particle of charge $q$ moves with a velocity $\vec{V} = a\hat{i}$ in a magnetic field $\vec{B} = b\hat{j} + c\hat{k}$, where ' $a$ ', ' b ' and ' c ' are constants. The magnitude of force experienced by particle is

A radioactive element A decays into radioactive element C by the following processes in succession.

$\text{A} \rightarrow \text{B} + {}_{2}\text{He}^{4};\ \text{B} \rightarrow \text{C} + 2\text{e}^{-}$ Then elements

A small spherical ball of radius ' $r$ ' is rolling on a curved surface which is frictionless and has a radius of curvature ' R '. Its motion is simple harmonic. Then its time period of oscillation is proportional to ( $g =$ acceleration due to gravity)

A particle performing linear S.H.M. has period 8 seconds. At time $t = 0$, it is in the mean position. The ratio of the distances travelled by the particle in the $1$st and $2$nd second is $\left(\cos 45^\circ = 1/\sqrt{2}\right)$

A particle executes S.H.M. starting from the mean position. Its amplitude is ' a ' and its periodic time is ' $T$ '. At a certain instant, its speed ' $u$ ' is half that of maximum speed $V$max. The displacement of the particle at that instant is

A concave lens (refractive index $= 1.5$) has both surfaces of same radius of curvature R. If it is immersed in a liquid of refractive index 1.75 it will act as a

A thin metal wire of length ' L ' and mass ' M ' is bent to form semicircular ring as shown. The moment of inertia about $XX'$ is

A solid cylinder of mass ' $M$ ' and radius ' $R$ ' is rotating about its geometrical axis. A solid sphere of same mass and same radius is also rotating about its diameter with an angular speed half that of the cylinder. The ratio of the kinetic energy of rotation of the sphere to that of the cylinder will be

In n-type semiconductor, free electrons donated by the impurity atoms occupy energy levels in

In the logic circuit given, $\mathrm{A}, \mathrm{B}$ and C are the inputs and Y is the output. The output Y is HIGH

The graph given below represents I-V characteristics of zener diode. The part of the characteristics curve that is most relevant for its operation as a voltage regulator is

Water rises in a capillary tube of radius r up to height h. The mass of water in a capillary is m. The mass of water that will rise in capillary of radius $\frac{r}{5}$ will be

The excess pressure inside a soap bubble is 1.5 times the excess pressure inside a second soap bubble. The volume of the second bubble is ' $x$ ' times the volume of the first bubble. The value of ' x ' is

The energy needed for breaking a liquid drop of radius ' $R$ ' into ' $n$ ' droplets each of radius ' $r$ ' is $[T =$ surface tension of the liquid]

When the pressure of the gas contained in a closed vessel is increased by $2.3\%$, the temperature of the gas increases by 4 K. The initial temperature of the gas is

In an isobaric process of an ideal gas, the ratio of heat supplied and work done by the system $\left(\frac{Q}{W}\right)$ is $\left[\frac{C_P}{C_V} = \gamma\right]$.

A monoatomic ideal gas, initially at temperature $T_1$ is enclosed in a cylinder fitted with massless, frictionless piston. By releasing the piston suddenly, the gas is allowed to expand adiabatically to a temperature $T_2$. If $L_1$ and $L_2$ are the lengths of the gas columns before and after expansion respectively, then $(T_2/T_1)$ is given by

The percentage error in the measurement of mass and speed of a particular body is $3\%$ and $4\%$ respectively. The percentage error in the measurement of kinetic energy is

Given $\vec{A} = (2\hat{i} - 3\hat{j} + \hat{k}), \quad \vec{B} = (3\hat{i} + \hat{j} - 2\hat{k})$ and $\vec{C} = (3\hat{i} + 2\hat{j} + \hat{k})$, then $(\vec{A} + \vec{B}) \cdot \vec{C}$ will be

Given $\vec{A} = (2\hat{i} - 3\hat{j} + \hat{k}), \quad \vec{B} = (3\hat{i} + \hat{j} - 2\hat{k})$ and $\vec{C} = (3\hat{i} + 2\hat{j} + \hat{k})$, then $(\vec{A} + \vec{B}) \cdot \vec{C}$ will be

The lengths of the two organ pipes open at both ends are ' L ' and $(L + L_1)$. If they are sounded together, the beat frequency will be ( $v =$ velocity of sound in air)

When source of sound and observer both are moving towards each other, the observer will hear

In a pipe closed at one end, air column is vibrating in its second overtone. The column has

The fundamental frequency of a sonometer wire is 50 Hz for some length and tension. If the length is increased by $25\%$ by keeping tension same then frequency change of second harmonic is

In a single slit diffraction pattern, the distance between the plane of the slit and screen is 1.3 m. The width of the slit is 0.65 mm and the second maximum is formed at the distance of 2.6 mm from the centre of the screen. The wavelength of light used is

Two polaroids are placed in the path of unpolarised beam of intensity ' $I_0$ ' such that no light is emitted from the second polaroid. If a third polaroid whose polarisation axis makes an angle ' $\theta$ ' with the polarisation axis of first polaroid is placed between these polaroids then the intensity of light emerging from the last polaroid will be

A ray of light from a monochromatic point source of light is incident at a point on the screen. If a thin mica film of thickness ' $t$ ' and refractive index ' $n$ ' is introduced in its path, then the optical path