MHT CET 2023 Physics Paper: 11 May, Shift 1

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

In series LCR circuit, the voltage across the inductance and the capacitance are not

An electron in the hydrogen atom jumps from the first excited state to the ground state. What will be the percentage change in the speed of electron?

Two identical capacitors have the same capacitance '$C$'. One of them is charged to a potential $V_1$ and the other to $V_2$. The negative ends of the capacitors are connected together. When the positive ends are also connected, the decrease in energy of the combined system is

A ball of mass '$m$' is attached to the free end of a string of length '$l$'. The ball is moving in horizontal circular path about the vertical axis as shown in the diagram.

The angular velocity '$\omega$' of the ball will be [ $T =$ Tension in the string.]

Potential difference between the points P and Q is nearly

In potentiometer experiments, two cells of e. m. f. '$E_1$' and '$E_2$' are connected in series $(E_1 > E_2)$, the balancing length is $64\text{ cm}$ of the wire. If the polarity of $E_2$ is reversed, the balancing length becomes $32\text{ cm}$. The ratio $\mathrm{E}_1/\mathrm{E}_2$ is

The maximum kinetic energies of photoelectrons emitted are $K_1$ and $K_2$ when lights of wavelengths $\lambda_1$ and $\lambda_2$ are incident on a metallic surface. If $\lambda_1 = 3\lambda_2$ then

A coil of radius '$r$' is placed on another coil (whose radius is $R$ and current flowing through it is changing) so that their centres coincide $(R \gg r)$. If both the coils are coplanar then the mutual inductance between them is ( $\mu_0 =$ permeability of free space)

The mutual inductance of a pair of coils, each of '$N$' turns, is '$M$' henry. If a current of '$I$' ampere in one of the coils is brought to zero in '$t$' second, the e. m. f. induced per turn in the other coil in volt is

When a current of $1\text{ A}$ is passed through a coil of 100 turns, the flux associated with it is $2.5 \times 10^{-5}\text{ Wb/}$ turn. The self inductance of the coil in millihenry is

To manufacture a solenoid of length $1\text{ m}$ and inductance $1\text{ mH}$, the length of thin wire required is (cross - sectional diameter of a solenoid is considerably less than the length)

Two positively charged identical spheres separated by a distance 'd' exert some force (F) on each other when they are kept in air. If both the spheres are immersed in a liquid of dielectric constant 5, the force experienced by each is (All other parameters are unchanged.)

Two charges of equal magnitude '$q$' are placed in air at a distance '$2r$' apart and third charge '$-2q$' is placed at mid point. The potential energy of the system is $(\varepsilon_0 =$ permittivity of free space)

Three point charges $+q, +2q$ and $+Q$ are placed at the three vertices of an equilateral triangle. If the potential energy of the system of three charges is zero, the value of $Q$ in terms of $q$ is

The bob of a simple pendulum of length '$L$' has a mass '$m$' and charge '$q$'. The pendulum is suspended between the plates of a charged parallel plate capacitor. The direction of electric field is shown in figure. The period of oscillations of the simple pendulum is (acceleration due to gravity $g > qE/m$)

A body of density '$\rho$' is dropped from rest at a height '$h$' into a lake of density '$\sigma (\sigma > \rho)$. The maximum depth to which the body sinks before returning to float on the surface is (neglect air dissipative forces)

The radius of earth is $6400\text{ km}$ and acceleration due to gravity $g = 10\text{ m s}^{-2}$. For the weight of body of mass $5\text{ kg}$ to be zero on equator, rotational velocity of the earth must be (in $\text{rad/s}$)

A body of mass '$m$' kg starts falling from a distance 3R above earth's surface. When it reaches a distance '$R$' above the surface of the earth of radius '$R$' and Mass '$M$', then its kinetic energy is

The rate of flow of heat through a metal rod with temperature difference $40^\circ\text{C}$ is $1600\text{ cal/s}$. The thermal resistance of metal rod in $^\circ\text{C s/cal}$ is

If the temperature of a hot body is increased by $50\%$, then the increase in the quantity of emitted heat radiation will be approximately

Two spherical black bodies of radii '$r_1$' and '$r_2$ ' at temperature '$T_1$ ' and '$T_2$' respectively radiate power in the ratio $1 : 2$ Then $r_1 : r_2$ is

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

Two parallel wires of equal lengths are separated by a distance of $3\text{ m}$ from each other. The currents flowing through $1$st and $2$nd wire is $3\text{ A}$ and 4.5 A respectively in opposite directions. The resultant magnetic field at mid point between the wires $(\mu_0 =$ permeability of free space)

An electron is projected along the axis of circular conductor carrying current I. Electron will experience

A cylindrical magnetic rod has length $5\text{ cm}$ and diameter $1\text{ cm}$. It has uniform magnetization $5.3 \times 10^{3}\text{ A/m}$. Its net magnetic dipole moment is nearly

In a radioactive disintegration, the ratio of initial number of atoms to the number of atoms present at time $t = \frac{1}{2\lambda}$ is [$\lambda =$ decay constant]

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

The time period of a simple pendulum inside a stationary lift is '$T$'. When the lift starts accelerating upwards with an acceleration $\left(\frac{g}{3}\right)$, the time period of the pendulum will be

The prism has refracting angle '$A$'. The second refracting surface of the prism is silvered. Light ray falling on first refracting surface with angle of incidence '$2A$', reaches the second surface and returns back through the same path due to reflection at the silvered surface. The refractive index of the material of the prism is

The size of the real image produced by a convex lens of focal length $F$ is '$m$' times the size of the object. The image distance from the lens is

Radius of gyration of a thin uniform circular disc about the axis passing through its centre and perpendicular to its plane is $K_c$. Radius of gyration of the same disc about a diameter of the disc is $K_d$. The ratio $K_c : K_d$ is

A particle moves along a circular path with decreasing speed. Hence

A disc has mass $M$ and radius $R$. How much tangential force should be applied to the rim of the disc, so as to rotate with angular velocity '$\omega$' in time $t$?

In energy band diagram of insulators, a band gap and the conduction band is respectively

In the case of NAND gate, if A and B are the inputs and $\mathrm{Y}$ is the output then

Identify the correct circuit diagrams for the normal operation from the following.

Two capillary tubes of the same diameter are kept vertically in two different liquids whose densities are in the ratio $4 : 3$. The rise of liquid in two capillaries is '$h_1$ ' and '$h_2$' respectively. If the surface tensions of liquids are in the ratio $6 : 5$, the ratio of heights $\left(\frac{h_1}{h_2}\right)$ is

(Assume that their angles of contact are same)

A spherical liquid drop of radius $R$ is divided into 8 equal droplets. If surface tension is $S$, then the work done in this process will be

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

A diatomic gas $\left(\gamma = \frac{7}{5}\right)$ is compressed adiabatically to volume $\frac{V_i}{32}$ where $V_i$ is its initial volume. The initial temperature of the gas is $T_i$ in Kelvin and the final temperature is '$xT_i$ '. The value of '$x$' is

A monoatomic gas at pressure '$P$', having volume '$V$' expands isothermally to a volume '$2\,V$' and then adiabatically to a volume ' $16\,V$'. The final pressure of the gas is (Take $\gamma = 5/3$)

A car sounding a horn of frequency $1000\text{ Hz}$ passes a stationary observer. The ratio of frequencies of the horn noted by the observer before and after passing the car is $11 : 9$. If the speed of sound is '$v$', the speed of the car is

The second overtone of an open pipe has the same frequency as the first overtone of a closed pipe of length '$L$'. The length of the open pipe will be

A transverse wave $Y = 2\sin(0.01x + 30t)$ moves on a stretched string from one end to another end in 0.5 second. If $x$ and $y$ are in $\text{cm}$ and $t$ in second, then the length of the string is

A string fixed at both the ends forms standing wave with node separation of $5\text{ cm}$. If the velocity of the wave on the string is $2\text{ m/s}$, then the frequency of vibration of the string is

In biprism experiment, if $5$th bright band with wavelength $\lambda_1'$ coincides with $6$th dark band with wavelength $\lambda_2'$ then the ratio $\left(\frac{\lambda_2}{\lambda_1}\right)$ is

In the experiment of diffraction due to a single slit, if the slit width is decreased, the width of the central maximum

A double slit experiment is immersed in water of refractive index 1.33. The slit separation is $1\text{ mm}$, distance between slit and screen is $1.33\text{ m}$ The slits are illuminated by a light of wavelength $6300\ \text{\AA}$. The fringe width is