MHT CET 2024 Physics Paper: 11 May, Shift 1

With gradual increase in frequency of an a.c. supply, the impedance of an LCR series circuit

An inductance of $\frac{300}{\pi}\text{ mH}$, a capacitance of $\frac{1}{\pi}\text{ mF}$ and a resistance of $20\ \Omega$ are connected in series with an a.c. source of $240\text{ V},\ 50\text{ Hz}$. The phase angle of the circuit is

With an alternating voltage source frequency ' f ', inductor ' $L$ ', capacitor ' $C$ ' and resistance ' $R$ ' are connected in series. The voltage leads the current by $45^\circ$. The value of ' $L$ ' is $(\tan 45^\circ = 1)$

The ratio of energies of photons produced due to transition of electron of hydrogen atom from its (a) second to first energy level and (b) highest energy level to second level is

When three capacitors of equal capacities are connected in parallel and one of the same capacity, capacitor is connected in series with the combination. The resultant capacity is $4.5\ \mu\text{F}$. The capacity of each capacitor is

Two parallel plate air capacitors of same capacity ' C ' are connected in series to a battery of emf ' $E$ '. Then one of the capacitors is completely filled with dielectric material of constant ' K '. The change in the effective capacity of the series combination is

In the following electrical network, the value of I is

The current drawn from the battery in the given network is (Internal resistance of the battery is negligible)

If the potential difference used to accelerate electrons is doubled. By what factor does the deBroglie wavelength $(\lambda)$ associated with the electrons change?

If the frequency of incident radiation $(\nu)$ is increased, keeping other factors constant, the stopping potential ( $\nu > \nu_0$, threshold frequency)

The coefficient of mutual induction is 2 H and induced e.m.f. across secondary is 2 kV. Current in the primary is reduced from 6 A to 3 A. The time required for the change of current is

When the number of turns in a coil is doubled without any change in the length of the coil, its self- inductance

Charges $3Q, q$ and Q are placed along x -axis at positions $x = 0, x = \frac{1}{3}$ and $x = 1$ respectively. When the force on charge Q is zero, the value of $q$ is

A small particle carrying a negative charge of $1.6 \times 10^{-19}\text{ C}$ is suspended in equilibrium between two horizontal metal plates 8 cm apart having a potential difference of 980 V across them. The mass of the particle is $\left[g = 9.8\text{ m/s}^2\right]$

The acceleration due to gravity at the surface of the planet is same as that at the surface of the earth, but the density of planet is thrice that of the earth. If 'R' is the radius of the earth, the radius of the planet will be

The depth 'd' at which the value of acceleration due to gravity becomes $\frac{1}{n-1}$ times the value at the earth's surface is ($R =$ radius of the earth)

Assuming that the earth is revolving around the sun in circular orbit of radius R, the angular momentum is directly proportional to $R^{n}$. The value of ' $n$ ' is

Two spheres $S_1$ and $S_2$ have same radii but temperatures $T_1$ and $T_2$ respectively. Their emissive power is same and emissivity in the ratio 1:4. Then the ratio $T_1 : T_2$ is

A bar magnet has length 4 cm, cross-sectional area $2\text{ cm}^2$ and magnetic moment $6\text{ Am}^2$. The intensity of magnetisation of bar magnet is

A bullet is fired on a target with velocity V. Its velocity decreases from V to $V/2$. When it penetrates 30 cm in a target. Through what thickness it will penetrate further in the target before coming to rest?

For the velocity-time graph shown in the figure below, the distance covered by the body in last two second of its motion is ' $S_1$ '. What is the ratio of ' $S_1$ ' to the total distance covered by it

The magnetic flux near the axis and inside the air core solenoid of length 80 cm carrying current ' I ' is $1.57 \times 10^{-6}\text{ Wb}$. Its magnetic moment will be [cross-sectional area of a solenoid is very small as compared to its length, $\mu_0 = 4\pi \times 10^{-7}$ SI unit $](\pi = 3.14)$

Two long straight parallel wires are separated by a distance '2d'. Each wire carries a current 'I' in the same direction. The magnetic field at a point 'P' midway between them is

A boat is moving due east in a region where the earth's magnetic field is $3.6 \times 10^{-5}\text{ N/Am}$ due north and horizontal. The boat carries a vertical conducting rod 2 m long. If the speed of the boat is $2.00\text{ m/s}$, the magnitude of the induced e.m.f. in the rod is

If 'T' is the half life of a radioactive substance then its instantaneous rate of change of activity is proportional to

A simple pendulum of length ' $L$ ' has mass ' $M$ ' and it oscillates freely with amplitude ' $A$ '. At extreme position, its potential energy is

A particle performing S.H.M. starts from equilibrium position and its time period is 12 second. After 2 seconds its velocity is $\pi\text{ m/s}$. Amplitude of the oscillation is

$\left[\sin 30^\circ = \cos 60^\circ = 0.5,\ \sin 60^\circ = \cos 30^\circ = \sqrt{3}/2\right]$

A particle performs linear S.H.M. At a particular instant, velocity of the particle is ' $u$ ' and acceleration is ' $a_1$ ' while at another instant velocity is ' $v$ ' and acceleration is ' $a_2$ ' $(0 < a_1 < a_2)$. The distance between the two positions is

When the same monochromatic ray of light travels through glass slab and through water, the number of waves in glass slab of thickness 5 cm is same as in water column of height 6 cm. If refractive index of glass is 1.56, then refractive index of water is

An ink mark is made on a piece of paper. A glass slab of thickness ' $t$ ' is placed on it. The ink mark appears to be raised up through a distance ' $x$ ' when viewed at nearly normal incidence. If the refractive index of material of glass slab is ' $\mu$ ' then thickness of glass slab ' $t$ ' is given by

For a light ray to undergo total internal reflection ( $i =$ angle of incidence, $i_c =$ critical angle)

An inclined plane makes an angle $30^\circ$ with horizontal. A solid sphere rolls down from the top of the inclined plane from rest without slipping has a linear acceleration along the plane equal to (where $g$ is acceleration due to gravity) (given $\sin 30^\circ = 0.5$)

If ' $n_e$ ' and ' $n_h$ ' are the number of electrons and number of holes respectively in a semiconductor heavily doped with phosphorus then

Following combination of gates is equivalent to

A p-n junction diode cannot be used

Water rises in a capillary tube of radius ' $r$ ' up to height ' $h$ '. The mass of water in capillary is ' $m$ '. The mass of water that will rise in capillary of radius $r/3$ will be

A big water drop is formed by the combination of ' $n$ ' small water droplets of equal radii. The ratio of the surface energy of ' $n$ ' droplets to the surface energy of the big drop is

The work done in blowing a soap bubble of radius $R$ is $W_1$ at room temperature. Now the soap is heated. From the heated another soap bubble of radius 2 R is blown and the work done is $W_2$. Then

An insulated container contains a diatomic gas of molar mass ' m '. The container is moving with velocity ' $V$ ', if it is stopped suddenly, the change in temperature is ( $R =$ gas constant)

Two vessels separately contain two ideal gases A and B at the same temperature, pressure of A being twice that of B. Under such conditions, the density of A is found to be 1.5 times the density of $B$. The ratio of molecular weights of $A$ and $B$ is

Two gases A and B having same initial state ( $P, V, n, T$ ). Now gas A is compressed to $\frac{V}{8}$ by isothermal process and other gas B is compressed to $\frac{V}{8}$ by adiabatic process. The ratio of final pressure of gas $A$ and $B$ is (Both gases are monoatomic, $\gamma = 5/3$)

In an adiabatic process for an ideal gas, the relation between the universal gas constant ' $R$ ' and specific heat at constant volume ' $C_v$ ' is $R = 0.4C_v$. The pressure ' $P$ ' of the gas is proportional to the temperature ' $T$ ', of the gas as $T^{k}$. The value of constant ' K ' is

Rails of material of steel are laid with gaps to allow for thermal expansion. Each track is 10 m long, when laid at temperature $17^\circ\text{C}$. The maximum temperature that can be reached is $45^\circ\text{C}$. The gap to be kept between the two segments of railway track is

$(\alpha$steel $= 1.3 \times 10^{-5}/^\circ\text{C})$

The frequency of two tuning forks A and B are respectively $1.4\%$ more and $2.6\%$ less than that of the tuning fork C. When A and B are sounded together, 10 beats are produced in 1 second. The frequency of tuning fork C is

With what velocity an observer should move relative to a stationary source so that a sound of triple the frequency of source is heard by an observer?

A resonance tube closed at one end is of height 1.5 m. A tuning fork of frequency 340 Hz is vibrating above the tube. Water is poured in the tube gradually. The minimum height of water column for which resonance is obtained is (Neglect end correction, speed of sound in air $= 340\text{ m/s}$)

At the poles of earth, a stretched wire of a given length vibrates in unison with a tuning fork. At the equator of earth, for same setting, to produce resonance with same fork, the vibrating length of wire

In Fraunhofer diffraction pattern, slitwidth is 0.5 mm and screen is at 2 m away from the lens. If wavelength of light used is $5500\text{ \AA}$, then the distance between the first minimum on either side of the central maximum is ( $\theta$ is small and measured in radian)

Two identical light waves having phase difference $\phi$ propagate in same direction. When they superpose, the intensity of resultant wave is proportional to