MHT CET 2020 Physics Paper: 19 Oct, Shift 2

An AC circuit contains resistance of $12\ \Omega$ and inductive reactance $5\ \Omega$. The phase angle between current and potential difference will be

Using Bohr's model, the orbital period of electron in hydrogen atom in $n$th orbit is ( $\varepsilon_0 =$ permittivity of free space, $h =$ Planck's constant, $m =$ mass of electron and $e =$ electronic charge)

The energy levels with transitions for the atom are shown. The transitions corresponding to emission of radiation of maximum and minimum wavelength are respectively

Two capacitors of capacities $2\ \mu\text{F}$ and $4\ \mu\text{F}$ are connected in parallel. A third capacitor of $6\ \mu\text{F}$ capacity is connected in series with this combination. A battery of 12 V is connected across this combination. The charge on $2\ \mu\text{F}$ capacitor is

In system of two particles of masses $m_1$ and $m_2$, the first particle is moved by a distance $d$ towards the centre of mass. To keep the centre of mass unchanged, the second particle will have to be moved by a distance

A body is moving along a circular track of radius 100 m with velocity $20\text{ m/s}$. Its tangential acceleration is $3\text{ m/s}^2$, then its resultant acceleration will be

A child starts running from rest along a circular track of radius $r$ with constant tangential acceleration a. After time $t$ he feels that slipping of shoes on the ground has started. The coefficient of friction between shoes and the ground is

[g = acceleration due to gravity]

A milliammeter of resistance $40\ \Omega$ has a range $0 - 30\text{ mA}$. What will be the resistance used in series to convert it into voltmeter of range $0 - 15\text{ V}$?

Two galvanometers $A$ and $B$ require currents of 4 mA and 7 mA, respectively to produce the same deflection of 20 divisions. If $S_A$ and $S_B$ are their sensitivities respectively, then

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

Two cells having unknown emfs $E_1$ and $E_2\ (E_1 > E_2)$ are connected in potentiometer circuit, so as to assist each other. The null point obtained is at 490 cm from the higher potential end. When cell $E_2$ is connected, so as to oppose cell $E_1$, the null point is obtained at 90 cm from the same end. The ratio of the emfs of two cells $\left(\frac{E_1}{E_2}\right)$ is

If the maximum kinetic energy of emitted electrons in photoelectric effect is $3.2 \times 10^{-19}\text{ J}$ and the work-function for metal is $6.63 \times 10^{-19}\text{ J}$, then stopping potential and threshold wavelength respectively are

[Planck's constant, $h = 6.63 \times 10^{-34}\text{ J}$-s]

[Velocity of light, $c = 3 \times 10^{8}\,\frac{\text{m}}{\text{s}}$ ]

[Charge on electron $= 1.6 \times 10^{-19}\text{ C}$ ]

The graph of stopping potential $V_s$ against frequency $v$ of incident radiation is plotted for two different metals $P$ and $Q$ as shown in the graph. $\phi_p$ and $\phi_Q$ are work-functions of $P$ and $Q$ respectively, then

Metal rings $P$ and $Q$ are lying in the same plane, where current I is increasing steadily. The induced current in metal rings is shown correctly in figure

Van de Graaff generator produces

The escape velocity of a body from any planet, whose mass is six times the mass of earth and radius is twice the radius of earth will (v${}_e$ = escape velocity of a body from the earth's surface)

Earth has mass $M_1$ and radius $R_1$. Moon has mass $M_2$ and radius $R_2$. Distance between their centre is $r$. A body of mass $M$ is placed on the line joining them at a distance $\frac{r}{3}$ from centre of the earth. To project the mass $M$ to escape to infinity, the minimum speed required is

The root mean square velocity of molecules of a gas is $200\text{ m/s}$. What will be the root mean square velocity of the molecules, if the molecular weight is doubled and the absolute temperature is halved?

A steel wire of length / has a magnetic moment $M$. It is then bent into a semicircular arc. The new magnetic moment is

For a paramagnetic substance, the magnetic susceptibility is

A domain in a ferromagnetic substance is in the form of a cube of side $1\,\mu\text{m}$. If it contains $8 \times 10^{10}$ atoms and each atomic dipole has a dipole moment of $9 \times 10^{-24}\text{ Am}^2$, then the magnetisation of the domain is

The compressibility of water is $5 \times 10^{-10}\text{ m}^2\text{/N}$. Pressure of $15 \times 10^{6}\text{ Pa}$ is applied on 100 mL volume of water. The change in the volume of water is

A metal rod has length, cross-sectional area and Young's modulus as $L, A$ and $Y$, respectively. If the elongation in the rod produced is $\ell$, then work done is proportional to

An electron moves in a circular orbit with uniform speed $v$. It produces a magnetic field $B$ at the centre of the circle. The radius of the circle is [ $\mu_0 =$ permeability of free space, $e =$ electronic charge]

A bob of a simple pendulum has mass $m$ and is oscillating with an amplitude $a$. If the length of the pendulum is $L$, then the maximum tension in the string is $[\cos 0^\circ = 1,\ g =$ acceleration due to gravity]

A body of mass 64 g is made to oscillate turn by turn on two different springs $A$ and $B$. Spring $A$ and $B$ has force constant $4\,\frac{\text{N}}{\text{m}}$ and $16\,\frac{\text{N}}{\text{m}}$ respectively. If $T_1$ and $T_2$ are period of oscillations of springs $A$ and $B$ respectively, then $\frac{T_1+T_2}{T_1-T_2}$ will be

Two bodies $A$ and $B$ of equal mass are suspended from two separate massles springs of force constant $k_1$ and $k_2$, respectively. The bodies oscillate vertically such that their maximum velocities are equal. The ratio of the amplitudes of body $A$ to that of body $B$ is

An object is clearly seen through an astronomical telescope of length 50 cm. The focal lengths of its objective and eye-piece respectively, can be

By increasing the aperture of the objective lens, wavelength of light, focal length of the objective lens and the resolving power of an astronomical telescope respectively

A ray of light is incident at an angle $i$ on one face of a thin angled prism. The ray emerges normally from the other face. Refractive index of the glass prism is $n$ and angle of prism is $A$. The value of $i$ is

Three point masses, each of mass $m$ are placed at the corners of an equilateral triangle of side $\ell$. The moment of inertia of the system about an axis passing through one of the vertices and parallel to the side joining other two vertices, will be

Two circular loop $A$ and $B$ of radii $R$ and $NR$ respectively are made from a uniform wire. Moment of inertia of $B$ about its axis is 3 times that of $A$ about its axis. The value of $N$ is

A rope is wound around a solid cylinder of mass 1 kg and radius 0.4 m. What is the angular acceleration of cylinder, if the rope is pulled with a force of 25 N? (Cylinder is rotating about its own axis.)

In an intrinsic semiconductor, at an ordinary temperature, the correct relation between the number of electrons per unit volume $n_e$ and number of holes per unit volume $n_h$.

A transistor having $\alpha = 0.8$ is connected in common emitter configuration. When the base current changes by 6 mA, then the change in collector current is

Water rises upto a height $h$ in a capillary tube on the surface of the earth. The value of $h$ will increase, if the experimental setup is kept in [ $g =$ acceleration due to gravity]

If the surface tension of a soap is $3 \times 10^{-2}\text{ N/m}$ then the work done in forming a soap film of $20\text{ cm} \times 5\text{ cm}$ will be

Let $\sigma$ and $b$ be Stefan's constant and Wien's constant respectively, then dimensions of $\sigma b$ are

Let $x = \pi R\left(\frac{P^2 - Q^2}{2}\right)$, where $P, Q$ and $R$ are lengths. The physical quantity $x$ is

The angle subtended by the vector $A = 4\hat{i} + 3\hat{j} + 12\hat{k}$ with the $X$-axis is

What is the angle between resultant of $A + B$ and $\mathbf{A} \times \mathbf{B}$.

Two spherical rain drops reach the surface of the earth with terminal velocities having ratio $16 : 9$. The ratio of their surface area is

A tuning fork $A$ produces 5 beats per second with a tuning fork of frequency 480 Hz. When a little wax is stuck to a prong of fork $A$, the number of beats heard per second becomes 2. What is the frequency of tuning fork $A$ before the wax is stuck to it?

The fundamental frequency of a closed pipe is 400 Hz. If $\frac{1}{3}$ rd pipe is filled with water, then the frequency of 2nd harmonic of the pipe will be (neglect and correction)

A uniform metal wire has length $L$, mass $M$ and density $\rho$. It is under tension $T$ and $v$ is the speed of transverse wave along the wire. The area of cross-section of the wire is

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

A graph is plotted between the fringe-width Z and the distance D between the slit and eye-piece, keeping other adjustment same. The correct graph is

(A)

(B)

(C)

(D)

The Brewster's angle for the glass-air interface is $(54.74)^\circ$. If a ray of light passing from air to glass strikes at an angle of incidence $45^\circ$, then the angle of refraction is

$\left[\tan(54.74)^\circ = \sqrt{2}, \sin 45 = \frac{1}{\sqrt{2}}\right]$