MHT CET 2024 Physics Paper: 11 May, Shift 2

A $1\,\mu\text{F}$ capacitor is charged to 50 V and is then discharged through 10 mH inductor of negligible resistance. The maximum current in the inductor is

In LCR resonant circuit, the current and voltage have phase difference

When 100 V d.c. is applied across a solenoid, a current of 1 A flows in it. When 100 a.c. is applied across it, the current drops to 0.5 A. If the frequency is 50 Hz, the impedance and inductance is

The angular momentum of the electron in the third Bohr orbit of hydrogen atom is ' $l$ '. Its angular momentum in the fourth Bohr orbit is

In a hydrogen atom in its ground state, the first Bohr orbit has radius $r_1$. The electron's orbital speed becomes one-third when the atom is raised to one of its excited states. The radius of the orbit in that excited state is

A particle of mass ' $m$ ' is performing uniform circular motion along a circular path of radius ' $r$ '. Its angular momentum about the axis passing through the centre and perpendicular to the plane is ' $L$ '. The kinetic energy of the particle is

Kirchhoff's second law is based on the law of conservation of

A battery of 6 V is connected to the ends of uniform wire 3 m long and of resistance $100\ \Omega$. The difference of potential between two points 50 cm apart on the wire is

A photoelectric surface is illuminated successively by monochromatic light of Wavelength $\lambda$ and $(\lambda/3)$. If the maximum kinetic energy of the emitted photoelectrons in the second case is 4 times that in the first case, the work function of the surface of the material is $(h =$ Planck's constant, $c =$ speed of light $)$

In case of photoelectric effect, the graph of measured stopping potential $(\mathrm{V}_0)$ against frequency ' $v$ ' of incident light is a straight line. The slope of this line multiplied by the charge of electron (e) gives

The number of turns in the primary of a transformer are 1000 and in secondary 3000. If 80 V a.c. is applied to the primary, the potential difference per turn of the secondary coil is

If number of turns per unit length in a solenoid is tripled, the self inductance of solenoid will

A closely wound coil of 100 turns and of cross-section $1\text{ cm}^{2}$ has coefficient of self inductance 1 mH. The magnetic induction at the centre of the core of a coil when a current of 2 A flows in it, will be (in $\text{Wb/m}^{2}$)

An electric dipole will have minimum potential energy when it subtends an angle $\begin{bmatrix} \cos 0^\circ = 1 \\ \sin 0^\circ = 0 \end{bmatrix} \begin{bmatrix} \cos 90^\circ = 0 \\ \cos \pi = -1 \end{bmatrix}$

A sphere ' $A$ ' of radius ' $R$ ' has a charge ' $Q$ ' on it. The field at point B outside the sphere is ' $E$ '. Now another sphere of radius ' $2R$ ' having a charge ' $-2Q$ ' is placed at B. The total field at the point midway between A and B due to both the spheres is

The point charges $+q, -q, -q, +q, +Q$ and -q are placed at the vertices of a regular hexagon ABCDEF as shown in figure. The electric field at the centre of hexagon ' $O$ ' due to the five charges at $A, B, C, D$ and $F$ is thrice the electric field at centre ' $O$ ' due to charge +Q at E alone. The value of Q is

A particle ' $A$ ' has charge ' $+q$ ' and a particle ' $B$ ' has charge ' $+4q$ '. Each has same mass ' $m$ '. When they are allowed to fall from rest through the same potential, the ratio of their speeds will become (particle A to particle B)

A body is projected in vertically upward direction from the surface of the earth of radius ' $R$ ' into space with velocity ' $nV_e$ ' $(n < 1)$. The maximum height from the surface of earth to which a body can reach is

For a satellite moving in an orbit around the earth at height ' $h$ ' the ratio of kinetic energy to potential energy is

' $N$ ' molecules of gas $A$, each having mass ' $m$ ' and ' 2 N ' molecules of gas B, each of mass ' 2 m ' are contained in the same vessel which is at constant temperature ' T '. The mean square velocity of $B$ is $V^{2}$ and mean square of x -component of A is $\omega^{2}$. The value of $\frac{\omega^{2}}{V^{2}}$ is

The ratio of the velocity of sound in hydrogen gas $\left(\gamma = \frac{7}{5}\right)$ to that in helium gas $\left(\gamma = \frac{5}{3}\right)$ at the same temperature is

What is the pressure of hydrogen in a cylinder of volume 10 litre if its total energy of translation is $7.5 \times 10^{3}\text{ J}$?

Two cars start from a point at the same time in a straight line and their positions are represented by $x_1(t) = at + bt^2$ and $x_2(t) = Ft - t^2$. At what time do the cars have the same velocity?

Magnetic field at the centre of a circular loop of area ' $A$ ' is ' $B$ '. The magnetic moment of the loop will be

An infinitely long straight conductor carrying current 'I' is bent in a shape as shown in figure. The radius of the circular part of loop is 'r'. The magnetic induction at the centre 'C' is ($\mu =$ permeability of free space)

A current carrying circular loop of radius ' $R$ ' and current carrying long straight wire are placed in the same plane. The current through circular loop and long straight wire are ' $I_c$ ' and ' $I_w$ ' 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

A piece of wood has length, breadth and height, ' $a$ ', ' $b$ ' and ' $c$ ' respectively. Its relative density, is ' $d$ '. It is floating in water such that the side ' $a$ ' is vertical. It is pushed down a little and released. The time period of S.H.M. executed by it is ($g =$ acceleration due to gravity)

All the springs in fig. (a), (b) and (c) are identical, each having force constant K. Mass attached to each system is ' $m$ '. If $T_a, T_b$ and $T_c$ are the time periods of oscillations of the three systems respectively, then

A particle is performing S.H.M. about its mean position with an amplitude ' $a$ ' and periodic time ' $T$ '. The speed of the particle when its displacement from mean position is $\frac{a}{3}$ will be

A vessel is filled with two different liquids which do not mix. One is 40 cm deep and has refractive index 1.6 and other is 30 cm deep and has refractive index $1.5$. The apparent depth of vessel when viewed normally is

Critical angle of light passing from glass to air is minimum for wavelength of

Moment of inertia of a disc about an axis passing through its centre and perpendicular to its plane is 'I'. The ratio of moment of inertia about a parallel axis tangential to its rim to that about a parallel axis passing through a point midway between the centre and the rim is

Four thin metal rods each of mass ' $M$ ' and length ' $L$ ', are welded end to end to form a square. The moment of inertia of the system about an axis passing through the centre of the square and perpendicular to its plane is

When n-p-n junction transistor is used as an amplifier in common emitter mode,

For the following digital logic circuit, the correct truth-table is

Assuming that junction diode is ideal, the current in arrangement shown in figure

A capillary tube stands with its lower end dipped into liquid for which the angle of contact is $90^\circ$. The liquid will

The $\mathrm{p} - \mathrm{V}$ diagram for a fixed mass of an ideal gas undergoing cyclic process is as shown in figure. AB represents isothermal process and CA represents adiabatic process. Which one of the following graphs represents the p-T diagram of this cyclic process?

Two cylinders A and B fitted with piston contain equal amount of an ideal diatomic as at temperature ' T ' K. The piston of cylinder A is free to move while that of B is held fixed. The same amount of heat is given to the gas in each cylinder. If the rise temperature of the gas in A is ' $dT_A$ ', then the rise in temperature of the gas in cylinder B is $\left(\gamma = \frac{C_p}{C_v}\right)$

A metal rod having coefficient of linear expansion $2 \times 10^{-5}/^\circ\text{C}$ is 0.75 m long at $45^\circ\text{C}$. When the temperature rises to $65^\circ\text{C}$, the increase in length of the rod will be

Two rain drops of same radius are falling through air each with a steady speed of $5\text{ cm/s}$. If the drops coalesce, the new steady velocity of big drop will be

A lead sphere of mass ' $m$ ' falls in viscous liquid with terminal velocity $\mathrm{V}_0$. Another lead sphere of mass ' 8 m ' but of same material will fall through the same liquid with terminal velocity

If the two waves of same amplitude, having frequencies 340 Hz and 335 Hz, are moving in same direction, then the time interval between two successive maxima formed (in second) is

The frequency of the third overtone of a pipe of length ' $L_c$ ', closed at one end is same as the frequency of the sixth overtone of a pipe of length ' $L_0$ ', open at both ends. Then the ratio $L_c : L_0$ is

A wire of length ' $L$ ' and linear density ' $m$ ' is stretched between two rigid supports with tension ' $T$ '. It is observed that wire resonates in the $P$th harmonic at a frequency of 320 Hz and resonates again at next higher frequency of 400 Hz. The value of ' $p$ ' is

Which of the following statements is NOT true?

The phase difference between two waves giving rise to dark fringe in Young's double slit experiment is ( n is the integer)

Considering interference between two sources of intensities ' I ' and ' 4 I ', the intensity at a point where the phase difference is $\pi$ is $(\cos\pi = -1)$

How is the interference pattern affected when violet light replaces sodium light?