MHT CET 2025 Physics Paper: 20 Apr, Shift 2

An ideal transformer converts 220 a.c. to 3.3 kV a.c. to transmit a power of 4.4 kW. If primary coil has 600 turns then alternating current in secondary coil is

An e.m.f. $e = E_0 \cos\omega t$ is applied to a circuit containing $L, C$ and $R$ in series where $X_L = 3R$ and $X_C = R$. The average power dissipated in the circuit is

An a.c. e.m.f. of peak value $= 230\text{ V}$ and frequency 50 Hz is connected to a circuit with $R = 11.5\ \Omega,\ L = 2.5\text{ H}$ and a capacitor all in series. The value of capacitance is ' C ' for the current in the circuit to be maximum. The value of C and maximum current are respectively $(\pi^2 = 10)$.

The ratio of angular momentum of an electron in $n$th orbit of hydrogen atom to the velocity of electron in $n$th orbit is proportional to

In hydrogen atom spectrum, when an electron jumps from second excited state to the first excited state, the wavelength of radiation emitted is ' $\lambda$ '. If the electron jumps from the third excited state to the second orbit, the wavelength of radiation emitted will be $\frac{20\lambda}{x}$. The value of $x$ is

A parallel plate capacitor with plate area A and plate separation $d$ is charged by constant current $I$. A plane surface of area $\frac{A}{2}$, parallel to the plates is drawn simultaneously between the plates. The displacement current through this area is

A parallel plate air capacitor has capacitance $C_P$. It is equally filled with parallel layers of materials of dielectric constants $K_1$ and $K_2$. Now its capacity becomes $C_K$. The ratio $C_P$ to $C_K$ is

A wheel initially at rest, begins to rotate about its axis with constant angular acceleration. If it rotates through an angle $\theta_1$ in first 2 s and a further angle $\theta_2$ in the next 2 s, the ratio $\theta_1 : \theta_2$ is

The reading of the ammeter in the following circuit is

Only $4\%$ of the total current in the circuit passes through a galvanometer. If the resistance of the galvanometer is G, then the shunt resistance connected to the galvanometer is

If the length of the potentiometer wire is increased by keeping constant potential difference across the wire, then

A light of wavelength $\lambda$ is incident on a photosensitive surface of negligible work function. The photoelectrons emitted from the surface have de-Broglie wavelength $\lambda_1$. Then ratio $\lambda : \lambda_1^{\,2}$ is ( $\mathrm{h} =$ Planck's constant, $\mathrm{c} =$ velocity of light, $\mathrm{m} =$ mass of electron)

On a photosensitive material, when frequency of incident radiation is increased by $20\%$, maximum kinetic energy of emitted photoelectrons increases from 0.4 eV to 0.7 eV. The work function of the material is

Three inductances are connected as shown in the figure. The equivalent inductance between A and B is

A simple pendulum with bob of mass m and conducting wire of length $L$ swings under gravity through an angle $\theta$. The component of earth's magnetic field in the direction perpendicular to swing is B. Maximum e.m.f. induced across the pendulum is ( $g =$ acceleration due to gravity)

A hollow cylinder has a charge ' $q$ ' coulomb within it. If ' $\phi$ ' is the electric flux in unit of V-m associated with the curved surface C, the flux linked with the plane surface ' $A$ ' in unit of V-m will be [ $\varepsilon_0 =$ permittivity of free space]0

Three concentric charged metallic spherical sheets $A, B$ and $C$ have radii $a, b, c$ potentials $V_A, V_B, V_C$ and charge densities $+\sigma, -\sigma$ and $+\sigma$ respectively. The value of potential $V_A$ is ( $\varepsilon_0 =$ permittivity of free space)

The temperature of an air bubble while rising from bottom to surface of a lake remains constant but diameter is doubled. If pressure on the surface is $h$ meter of mercury column and relative density of mercury is ' $\rho$ ' then the depth of the lake is

The time period of a satellite of earth is 24 hours. If the separation between the earth and the satellite is decreased to one fourth of the previous value then its new time period will become

A metal sphere cools at a rate of $1.5^\circ\text{C/min}$ when its temperature is $80^\circ\text{C}$. When the temperature of the sphere is $40^\circ\text{C}$, its rate of cooling is $0.3^\circ\text{C/min}$. The temperature of the surrounding $(\theta_0)$ is

The following graph represents the radiant power versus wavelength of the black body. The area under the curve represents

Two bar magnets A and B are geometrically similar but the magnetic moment of $A$ is twice that of $B.\ T_1$ is the time period of oscillation when their like poles are kept together. When unlike poles are kept together, the time period of oscillation is $T_2$. The ratio $T_1 : T_2$ will be

Two bodies A and B move in same straight line starting from same position. Body A moves with constant velocity ' u ' and body B moves with constant acceleration ' $a$ '. When their velocities become equal, the distance between them is

An element $\overrightarrow{\Delta l} = \Delta x\, \hat{i}$ is placed at the origin and carries a current of 10 A. The magnitude of magnetic field on the Y axis at a distance of 0.5 m if $\Delta x = 1\text{ cm}$ is $\left(\frac{\mu_0}{4\pi} = 10^{-7}\right.$ SI unit $)\ (\sin 90^\circ = 1)$

A current ' I ' is flowing in a conductor PQRST as shown in figure. The radius of curved path QRS is ' R ' and length of straight portion PQ and ST is very large. The magnetic field at the centre $[\text{O}]$ of the curved part is ( $\mu_0 =$ permeability of free space)

A mass attached to a spring performs S.H.M. whose displacement is $x = 3 \times 10^{-3}\cos 2\pi t$ metre. The time taken to obtain maximum speed for the first time is

A mass $x$ gram is suspended from a light spring. It is pulled in downward direction and released so that mass performs S.H.M. of period T. If mass is increased by Y gram, the period becomes $\frac{4T}{3}$. The ratio of $Y/x$ is

A particle executes a linear S.H.M. In two of its positions the velocities are $V_1, V_2$ and accelerations are $a_1$ and $a_2$ respectively $(0 < a_1 < a_2)$. The distance between the positions is

An achromatic convergent doublet of two lenses in contact has a power +2 D. The convex lens has power +5 D. The ratio of the dispersive powers of the convergent and divergent lenses is (in magnitude)

A disc of mass ' $m$ ' and radius ' $r$ ' rolls down an inclined plane of height ' $h$ '. When it reaches the bottom of the plane, its rotational kinetic energy is ( $g =$ acceleration due to gravity)

A solid sphere rolling without friction on a horizontal surface with a constant speed of $2\text{ m/s}$, rolls up on an inclined ramp which is inclined at $30^\circ$. The maximum distance travelled by the sphere on the inclined ramp is (acceleration due to gravity $g = 10\text{ m/s}^{2}, \sin 30^\circ = \frac{1}{2}$)

In an n-p-n transistor amplifier, the collector current is 9 mA. If $90\%$ of the electrons emitted reach the collector, then

The resultant logic gate from the combination of following gates is

In the following circuit shown in figure, three diodes are connected each with forward resistance $40\ \Omega$ and infinite backward resistance. The current through $100\ \Omega$ resistance is

Pure water rises through a height $h$ in a capillary tube of internal radius r. Surface tension of water is T. The pressure difference between the water level in the container and the lowest point of the concave meniscus is

A liquid drop having surface energy $E$ is sprayed into 512 droplets of same size. The final surface energy is

In a cyclic process, work done by the system is

If a gas is compressed isothermally then the r.m.s. velocity of its molecules

The change in the internal energy of the mass of gas, when the volume changes from V to 2 V at constant pressure P is $\left(\gamma = \frac{C_p}{C_v}\right)$

The density of a cube is measured by measuring its mass and length of its sides. The \% error in the measurement of mass and length are $5\%$ and $6\%$ respectively. The percentage error in the measurement of density is

Three vectors are expressed as $\vec{a} = 4\hat{i} - \hat{j}, \vec{b} = -3\hat{i} + 2\hat{j}$ and $\vec{c} = -\hat{k}$. The unit vector along the direction of sum of these vectors is

Two raindrops reach the earth with different terminal velocities having the ratio $9 : 4$. The ratio of their volumes is

The closed and open organ pipe have same length and when they are vibrating simultaneously in first overtone produce 3 beats. The length of open pipe is made $\left(\frac{1}{3}\right)^{\text{rd}}$ and that of closed pipe is made 3 times the original, the number of beats produced will be (Neglect end correction)

The length of closed and open pipe is same. The ratio of frequency of $n$th overtone for closed pipe to that of open pipe is (Neglect end correction)

The frequency of a stretched uniform wire of length $L$ under tension is in resonance with the fundamental frequency of a closed pipe of same length. If the tension in the wire is increased by 8 N, it is in resonance with the first overtone of the same closed pipe. The initial tension in the wire is

A ray of light of intensity ' I ' is incident on a parallel glass slab at a point ' $A$ ' as shown in figure. It undergoes partial reflection and refraction. At each reflection $25\%$ of incident energy is reflected. The rays $AB$ and $A'B'$ undergo interference. The ratio $\frac{I_{max}}{I_{min}}$maxmin is

Four polaroids are placed such that the optic axis of each is inclined at an angle of $30^\circ$ the optic axis of the preceding one. If unpolarised light of intensity ' $I_0$ ' falls on the first polaroid, the intensity of light transmitted from the fourth polaroid is $\left[\cos 30^\circ = \frac{\sqrt{3}}{2}\right]$

The apparent wavelength of light from a star moving away from the earth is $0.02\%$ more than the actual wavelength. The velocity of star is $[c =$ velocity of light $= 3 \times 10^{8}\text{ m/s}]$

In Young's double slit experiment with monochromatic light of wavelength 600 nm, the distance between the slits is $10^{-3}\text{ m}$. For changing the fringe width by $3 \times 10^{-5}\text{ m}$

a. the screen is moved away from the slit by 5 cm.

b. the screen is moved 5 cm towards the slits.

c. the screen is moved 3 cm towards the slits.

d. the screen is moved away from the slits by 3 cm.