MHT CET 2023 Physics Paper: 13 May, Shift 2

A group of lamps having total power rating of $1000\text{ W}$ is supplied by an AC voltage of $E = 200 \sin(310t + 60^\circ)$, the rms value of current flowing through the circuit is

The number of turns in the primary and the secondary of a transformer are 1000 and 3000, respectively. If $80\text{ V AC}$ is applied to the primary coil of the transformer, then the potential difference per turn of the secondary coil would be

In a $L\text{-}R$ circuit the inductive reactance is equal to the resistance $R$ in the circuit. An emf $E = E_0 \cos\omega t$ is applied to the circuit. The power consumed in the circuit is

At a particular angular frequency, the reactance of capacitor and that of inductor is same. If the angular frequency is doubled, the ratio of the reactance of the capacitor to that of the inductor will be

When an electron is excited from its 4 th orbit to 5 th stationary orbit, the change in the angular momentum of electron is approximately.

(Planck's constant $= h = 6.63 \times 10^{-34}\text{ J-s}$)

An excited hydrogen atom emits a photon of wavelength $\lambda$ in returning to ground state. The quantum number $n$ of the excited state is ($R =$ Rydberg's constant)

In the given figure, the equivalent capacitance between points A and B is

In a parallel plate capacitor with air between the plates, the distance $d$ between the plates is changed and the space is filled with dielectric constant 8. The capacity of the capacitor is increased 16 times, the distance between the plates is

A stone is projected at angle $\theta$ with velocity $u$. If it executes nearly a circular motion at its maximum point for short time, then the radius of the circular path will be ( $g =$ acceleration due to gravity)

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

A $10\text{ m}$ long wire of resistance $20\ \Omega$ is connected in series with a battery of emf $3\text{ V}$ (negligible internal resistance) and a resistance of $10\ \Omega$. The potential gradient along the wire is

When radiations of wavelength $\lambda$ is incident on a metallic surface the stopping potential required is $4.8\text{ V}$. If same surface is illuminated with radiations of double the wavelength, then required stopping potential becomes $1.6\text{ V}$, then the value of threshold wavelength for the surface is

Dual nature of light is exhibited by

A conductor $10\text{ cm}$ long is moves with a speed $1\text{ m/s}$ perpendicular to a field of strength $1000\text{ A/m}$. The emf induced in the conductor is (Given: $\mu_0 = 4\pi \times 10^{-7}\text{ Wb/Am}$)

A metal disc of radius $R$ rotates with an angular velocity $\omega$ about an axis perpendicular to its plane passing through its centre in a magnetic field of induction $B$ acting perpendicular to the plane of the disc. The magnitude of induced emf between the rim and axis of the disc is

The work done in rotating a dipole placed parallel to the electric field through $180^\circ$ is W. So, the work done in rotating it through $60^\circ$ is $\left(\cos 0^\circ = 1,\ \cos 60^\circ = \frac{1}{2},\ \cos 180^\circ = -1\right)$

In the electric field due to a charge $Q$, a charge $q$ moves from point $A$ to $B$. The work done is ( $\varepsilon_0 =$ permittivity of vacuum)

There is hole of area $A$ at the bottom of a cylindrical vessel. Water is filled to a height $h$ and water flows out in $t$ second. If water is filled to a height $4h$, it will flow out in time (in second)

If two planets have their radii in the ratio $x : y$ and densities in the ratio $m : n$, then the acceleration due to gravity on them are in the ratio

A mine is located at depth $R/3$ below earth's surface. The acceleration due to gravity at that depth in mine is ($R =$ radius of earth, $g =$ acceleration due to gravity)

Which one of the following is based on convection?

A gas at pressure $p_0$ is contained in a vessel. If the masses of all the molecules are halved and their velocities are doubled, then the resulting pressure would be equal to

A spring balance is attached to the ceiling of a lift. A man hangs his bag on the spring and the spring balance reads $49\text{ N}$, when the lift is stationary. If the lift moves downward with an acceleration of $5\text{ m/s}^{2}$, the reading of the spring balance will be $\left(g = 9.8\text{ m/s}^{2}\right)$

Magnetic shielding is done by surrounding the instrument to be protected from magnetic field by

Two bodies $A$ and $B$ start from the same point at the same instant and move along a straight line. Body $A$ moves with uniform acceleration $a$ and body $B$ moves with uniform velocity $v$. They meet after time $t$. The value of $t$ is

A small steel ball is dropped from a height of $1.5\text{ m}$ into a glycerine jar. The ball reaches the bottom of the jar $1.5\text{ s}$ after it was dropped. If the retardation is $2.66\text{ m/s}^2$, the height of the glycerine in the jar is about (acceleration due to gravity $g = 9.8\text{ m/s}^2$)

A circular current carrying coil has radius $R$. The magnetic induction at the centre of the coil is $B_C$. The magnetic induction of the coil at a distance $\sqrt{3}R$ from the centre along the axis is $B_A$. The ratio $B_A : B_C$ is

The ratio of magnetic field at the centre of the current carrying circular loop and magnetic moment is $X$. When both the current and radius are doubled, then the ratio will be

A mass $M$ is suspended from a light spring. An additional mass $M_1$ added extends the spring further by a distance $x$. Now, the combined mass will oscillate on the spring with period $T =$

Under the influence of force $F_1$ the body oscillates with a period $T_1$ and due to another force $F_2$ body oscillates with period $T_2$. If both forces acts simultaneously, then the resultant period is (consider displacement is same in all three cases)

A ray of light passes through an equilateral prism such that the angle of incidence $(i)$ is equal to angle of emergence $(e)$. The angle of emergence is equal to $\left(\frac{3}{4}\right)$ th the angle of prism. The angle of deviation is

The radii of curvature of both the surfaces of a convex lens of focal length $f$ and power $P$ are equal. One of the surfaces is made by plane grinding. The new focal length and focal power of the lens is

Four identical uniform solid spheres each of same mass $M$ and radius $R$ are placed touching each other as shown in figure with centres $A, B, C, D.\ I_A, I_B, I_C, I_D$ are the moment of inertia of these spheres respectively about an axis passing through centre and perpendicular to the plane, then

A thin uniform $\text{rod } AB$ of mass $m$ and length $l$ is hinged at one end $A$ to the ground level. Initially the rod stands vertically and is allowed to fall freely to the ground in the vertical plane. The angular velocity of the rod when its end $B$ strikes the ground is ( $g =$ acceleration due to gravity)

Doping of a semiconductor (with small impurity atoms) generally changes the resistivity as follows.

The Boolean expression for the following combination is

If the maximum efficiency of a full wave rectifier is $x\%$ and that of half-wave rectifier is $y\%$, then the relation between $x$ and $y$ is

If work done in blowing a soap bubble of volume $V$ is $W$, then the work done in blowing the bubble of volume $2V$ from same soap is

The internal energy of a monoatomic ideal gas molecule is

A sample of oxygen gas and a sample of hydrogen gas both have the same mass, same volume and the same pressure. The ratio of their absolute temperature is

A carnot engine operates with source at $227^\circ\text{C}$ and sink at $27^\circ\text{C}$. If the source supplies $50\text{ kJ}$ of heat energy, the work done by the engine is

For an adiabatic process, which one of the following is wrong statement?

When two tuning forks are sounded together, 5 beats per second are heard. One of the forks is in unison with $0.97\text{ m}$ length of sonometer wire and the other is in unison with $0.96\text{ m}$ length of the same wire. The frequencies of the two tuning forks are

A closed pipe and an open pipe have their first overtone equal in frequency. Then, the lengths of these pipe are in the ratio

The equation of a progressive wave is $Y = a\sin 2\pi\left(nt - \frac{x}{5}\right)$. The ratio of maximum particle velocity to wave velocity is

A transverse wave strike against a wall,

Light of wavelength $5000\text{ \AA}$ is incident normally on a slit. The first minimum of the diffraction pattern is observed to lie at a distance of $5\text{ mm}$ from the central maximum on a screen placed at a distance of $2\text{ m}$ from the slit. The width of the slit is

Of the two slits producing interference in Young's experiment, one is covered with glass so that light intensity passing is reduced to $50\%$. Which of the following is correct?

The path difference between two identical light waves at a point $Q$ on the screen is $3\mu\text{m}$. If wavelength of the waves is $5000\ \text{Å}$, then at point $Q$ there is