MHT CET 2024 Physics Paper: 9 May, Shift 2

An e.m.f. $E = E_0 \cos\omega t$ is applied to circuit containing L and R in series. If $X_L = 2R$, then the power dissipated in the circuit is

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

In hydrogen atom, if $V_n$ and $V_p$ are orbital velocities in $n$th and $p$th orbit respectively, then the ratio $V_p : V_n$ is

The spectral series observed for hydrogen atom found in visible region is

The potential difference that must be applied across the series and parallel combination of 4 identical capacitors is such that the energy stored in them becomes the same. The ratio of potential difference in series to parallel combination is

Air capacitor has capacitance of $1\mu\text{ F}$. Now the space between two plates of capacitor is filled with two dielectrics as shown in figure. The capacitance of the capacitor is [ $d =$ distance between two plates of capacitor, $K_1$ and $K_2$ are dielectric constants of first dielectric and second dielectric respectively]

A metal rod of weight ' $W$ ' is supported by two parallel knife-edges A and B. The rod is in equilibrium in horizontal position. The distance ' between two knife-edges is ' $r$ '. The centre of mass of the rod is at a distance ' $x$ ' from $A$. The normal reaction on A is

A disc at rest is subjected to a uniform angular acceleration about its axis. Let $\theta$ and $\theta_1$ be the angle made by the disc in $2$nd and $3$rd second of its motion. The ratio $\frac{\theta}{\theta_1}$ is

Two identical galvanometers are converted into voltmeter and millivoltmeter. As compared to the series resistance of voltmeter, the series resistance of millivoltmeter will be

Potential difference between the points A and B is nearly

In the following circuit, the reading in the ammeter is

The figure shows the variation of photocurrent with anode potential for four different radiations. Let $f_a, f_b, f_c$ and $f_d$ be the frequencies for the curves $a, b, c$ and $d$ respectively

Using Einstein's photoelectric equation, the graph between kinetic energy of emitted photoelectrons and the frequency of incident radiation is shown correctly by graph

Consider the following circuit. By keeping $S_1$ closed, the capacitor is fully charged and then $S_1$ is opened and $S_2$ is closed, then

A square loop ABCD is moving with constant velocity ' $\vec{v}$ ' in a uniform magnetic field ' $\vec{B}$ ' which is perpendicular to the plane of paper and directed outward. The resistance of coil is ' $R$ ', then the rate of production of heat energy in the loop is [ L - length of side of loop]

Two coils of self-inductance 25 mH and 9 mH are placed close together such that the effective flux in one coil is completely linked with the other The mutual inductance between these coils is

The electric flux over a sphere of radius ' $r$ ' is ' $\phi$ '. If the radius of the sphere is doubled without changing the charge, the flux will be

The van de Graaff Generator is not based on

The radius of the planet is double that of the earth, but their average densities are same. $V_p$ and $V_E$ are the escape velocities of planet and earth respectively. If $\frac{V_P}{V_E} = x$, the value of ' $x$ ' is

A satellite is revolving around a planet in a circular orbit close to its surface. Let ' $\rho$ ' be the mean density and ' $R$ ' be the radius of the planet. Then the period of the satellite is ( $G =$ universal constant of gravitation)

The temperature of a liquid falls from 365 K to 359 K in 3 minutes. The time during which temperature of this liquid falls from 342 K to 338 K is [Let the room temperature be 296 K ]

A black body radiates power ' P ' and maximum energy is radiated by it at a wavelength $\lambda_0$. The temperature of the black body is now so changed that it radiates maximum energy at the wavelength $\frac{\lambda_0}{4}$. The power radiated by it at new temperature is

The correct relation between total magnetic field $(B)$, magnetic intensity $(H)$, permeability of free space $(\mu_0)$ and susceptibility $(\chi)$ is

The following figures show the variation of displacement with time of a particular object.

A long solenoid carrying a current produces magnetic field B along its axis. If the number of turns per cm are tripled and the current is made $\left(\frac{1}{4}\right)$th then the new value of magnetic field will be

A current carrying circular loop of radius ' $R$ ' and current carrying long straight wire are placed in the same plane. $I_c$ and $I_w$ are the currents through circular loop and long straight wire respectively. The perpendicular distance between centre of the circular loop and wire is ' d '. The magnetic field at the centre of the loop will be zero when separation ' $d$ ' is equal to

The magnetic potential energy stored in certain inductor is $64 \times 10^{-3}\text{ J}$, when the current in the inductor is 80 mA. This inductor is of inductance

A particle is executing a linear simple harmonic motion. Let ' $V_1$ ' and ' $V_2$ ' are its speed at distance ' $x_1$ ' and ' $x_2$ ' from the equilibrium position. The amplitude of oscillation is

Concave and convex lenses are placed touching each other. The ratio of magnitudes of their power is $2 : 3$. The focal length of the system is 30 cm. The focal lengths of individual lens are

An astronomical telescope has a large aperture to

A particle of mass ' m ' is rotating in a circular path of radius ' $r$ '. Its angular momentum is ' $L$ ' The centripetal force acting on it is ' $F$ '. The relation between ' $F$ ', ' $L$ ', ' $r$ ' and ' $m$ ' is

Three thin rods, each mass ' 2 M ' and length ' L ' are placed along $x, y$ and z axis which are mutually perpendicular. One end of each rod is at origin. Moment of inertia of the system about x - axis is

The resultant gate and its Boolean expression in the given circuit is

In the working of photodiode, the reverse current depends on

Three liquids of densities $\rho_1, \rho_2$ and $\rho_3$ (with $\rho_1 > \rho_2 > \rho_3$) having same value of surface tension T, rise to the same height in three identical capillaries. Angle of contact $\theta_1, \theta_2$ and $\theta_3$ respectively obey

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

Let ' $n$ ' is the number of liquid drops, each with surface energy ' $E$ '. These drops join to form single drop. In this process

The P-V diagrams for particular gas of different thermodynamic processes are given by

In an isobaric process of an ideal gas, the ratio of work done by the system (W) during the expansion and the heat exchanged $(Q)$ is $\left(\gamma = \frac{C_p}{C_v}\right)$

An ideal gas $(\gamma = 1.5)$ is expanded adiabatically. To reduce root mean square velocity of molecules two times, the gas should be expanded

Two identical drops of water are falling through air with steady velocity ' V '. If the two drops come together to form a single drop. The new velocity of the single drop is

The diagram shows the propagation of a progressive wave. A, B, C, D, E are five points on this wave

Which of the following points are in the same state of vibration?

The equations of two waves are given as

$\begin{matrix} y_1 = a\sin(\omega t + \phi_1) \\ y_2 = a\sin(\omega t + \phi_2) \end{matrix}$

If amplitude and time period of resultant wave is same as the individual waves, then $(\phi_1 - \phi_2)$ is

A string of mass 0.2 Kg is under a tension of 2.5 N. The length of the string is 2 m. A transverse wave starts from one end of the string. The time taken by the wave to reach the other end is

A stationary wave is formed having 3 nodes along the length of the string 90 cm. The wavelength of the wave is

A sonometer wire is in unison with a tuning fork of frequency ' $n$ ' when it is stretched by a weight of specific gravity ' $d$ '. When the weight is completely immersed in water, ' $x$ ' beats are produced per second, then

A musical instrument ' $P$ ' produces 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

In the Young's double slit experiment, the intensity at a point on the screen, where the path difference is $\lambda(\lambda =$ wavelength $)$ is $\beta$. The intensity at a point where the path difference is $\lambda/3$, will be $\cos\frac{\pi}{3} = 1/2]$

In Young's double slit experiment using monochromatic light of wavelength ' $\lambda$ ', the maximum intensity of light at a point on the screen is ' K ' units. The intensity of light at a point where the path difference is $\frac{\lambda}{6}$ is $\left(\cos 60^\circ = \sin 30^\circ = 0.5, \sin 60^\circ = \cos 30^\circ = \sqrt{3}/2\right)$

The fringe width in an interference pattern is ' X '. The distance between the sixth dark fringe from one side of central bright band to the fourth bright fringe on other side is