MHT CET 2020 Physics Paper: 16 Oct, Shift 1

An alternating emf of $0.2\text{ V}$ is applied across an L-C-R series circuit having $R = 4\ \Omega, C = 80\ \mu\text{F}$ and $L = 200\text{ mH}$. At resonance the voltage drop across the inductor is

The force acting on the electrons in hydrogen atom (Bohr's theory) is related to the principle quantum number $n$ as

The ratio of speed of an electron in the ground state in the Bohr's first orbit of hydrogen atom to velocity of light $(c)$ is ( $h =$ Planck's constant, $\varepsilon_0 =$ permittivity of free space, $e =$ charge on electron)

Using Bohr's quantisation condition, what is the rotational energy in the second orbit for a diatomic molecule? ($I =$ moment of inertia of diatomic molecule and, $h =$ Planck's constant)

The capacitance of a parallel plate capacitor with air as medium is $3\ \mu\text{F}$. With the introduction of a dielectric medium between the plates, the capacitance becomes $15\ \mu\text{F}$. The permittivity of the medium in $\text{SI}$ unit is $[\varepsilon_0 = 8.85 \times 10^{-12}\text{ SI}$ unit]

A particle is moving in a radius $R$ with constant speed $v$. The magnitude of average acceleration after half revolution is

In non-uniform circular motion, the ratio of tangential to radial acceleration is ($r =$ radius, $\alpha =$ angular acceleration and $v =$ linear velocity)

An ammeter of resistance $20\ \Omega$ gives full scale deflection, when $1\text{ mA}$ current flows through it. What is the maximum current that can be measured by connecting 4 resistors each of $16\ \Omega$ in parallel with the ammeter?

A potentiometer wire is $4\text{ m}$ long and potential difference of $3\text{ V}$ is maintained between the ends. The emf of the cell, which balances against a length of $100\text{ cm}$ of the potentiometer wire is

Two wires $A$ and $B$ of equal lengths are connected in left and right gap of a meter bridge, null point is obtained at $40\text{ cm}$ from left end. Diameters of the wire $A$ and $B$ are in that ratio $3 : 1$. The ratio of specific resistance of $A$ to the of $B$ is

The maximum velocity of the photoelectron emitted by the metal surface is $v$. Charge and mass of the photoelectron is denoted by $e$ and $m$, respectively. The stopping potential in volt is

Energy of the incident photon on the metal surface is $3W$ and then $5W$, where $W$ is the work function for that metal. The ratio of velocities of emitted photoelectrons is

A coil of $n$ turns and resistance $R\Omega$ is connected in series with a resistance $\frac{R}{2}$. The combination is moved for time $t$ second through magnetic flux $\phi_1$ to $\phi_2$. The induced current in the circuit is

In amplitude modulation,

Surface density of charge on a charged conducting sphere of radius $R$ in terms of electric field intensity $E$ at a distance $r$ in free space is ($r > R, \varepsilon_0 =$ permittivity of free space)

A body is thrown from the surface of the earth velocity $v/\text{s}$. The maximum height above the earth's surface upto which it will reach is ($R =$ radius of earth, $g =$ acceleration due to gravity)

The mass of earth is 81 times the mass of the moon and the distance between their centres is $R$. The distance from the centre of the earth, where gravitational force will be zero is

A body of mass $2\text{ kg}$ is acted upon by two forces each of magnitude $1\text{ N}$ and inclined at $60^\circ$ with each other. The acceleration of the body in $\text{m/s}$ is [$\cos 60^\circ = 0.5$]

Two identical bar magnets each of magnetic moment $M$, separated by some distance are kept perpendicular to each other. The magnetic induction at a point at the same distance $d$ from the centre of magnets, is ($\mu_0 =$ permeability of free space)

An iron rod is placed parallel to magnetic field of intensity $2000\text{ A/m}$. The magnetic flux through the rod is $6 \times 10^{-4}\text{ Wb}$ and its cross-sectional area is $3\text{ cm}^2$. The magnetic permeability of the rod in $\frac{\text{Wb}}{\text{A-m}}$ is

The density of a metal at normal pressure $p$ is $\rho$. When it is subjected to an excess pressure, the density becomes $\rho'$. If $K$ is the bulk modulus of the metal, then the ratio $\frac{\rho'}{\rho}$ is

Two rods of same material and volume having circular cross-section are subjected to tension $T$. Within the elastic limit, same force is applied to both the rods. Diameter of the first rod is half of the second rod, then the extensions of first rod to second rod will be in the ratio

A moving body is covering distances which are proportional to square of the time. Then, the acceleration of the body is

An electron $(e)$ is revolving in a circular orbit of radius $r$ in hydrogen atom. The angular momentum of the electron is ($M =$ magnetic dipole moment associated with it and $m =$ mass of electron)

A charge $q$ moves with velocity $v$ through electric field $\mathrm{E}$ as well as magnetic field (B). Then, the force acting on it is

A charged particle is moving in a uniform magnetic field in a circular path of radius $R$. When the energy of the particle becomes three times the original, the new radius will be

For a particle performing SHM when displacement is $x$, the potential energy and restoring force acting on it is denoted by $E$ and $F$, respectively. The relation between $x, E$ and $F$ is

A simple pendulum of length $L$ has mass $m$ and it oscillates freely with amplitude $A$. At extreme position, its potential energy is ($g =$ acceleration due to gravity)

The magnifying power of a telescope is high, if its objective and eyepiece have respectively

A ray of light is incident at an angle $i$ on one face of prism of small angle $A$ and emerges normally from the other surface. $\mu$ is the refractive index of the material of the prism. The angle of incidence is

A solid cylinder of radius $r$ and mass $M$ rolls down an inclined plane of height $h$. When it reaches the bottom of the plane, then its rotational kinetic energy is ($g =$ acceleration due to gravity)

If there is a change of angular momentum from $1\text{ J s}$ to $4\text{ J s}$ in $4\text{ s}$, then the torque

When a small amount of impurity atoms are added to a semiconductor, then generally its resistivity

In common emitter amplifier, input resistance is $1000\ \Omega$, peak value of input signal voltage is $5\text{ mV}$ and $\beta = 60$. The peak value of output current is

Water rises in a capillary tube of radius $r$ upto a height $h$. The mass of water in a capillary is $m$. The mass of water that will rise in a capillary of radius $\frac{r}{4}$ will be

Two small drops of mercury each of radius $r$ coalesce to form a large single drop. The ratio of the total surface energies before and after the change is

For a gas, $\frac{R}{C_V} = 0.4$, where $R$ is universal gas constant and $C_V$ is the molar specific heat at constant volume. The gas is made up of molecules, which are

A monoatomic gas of pressure $p$ having volume $V$ expands isothermally to a volume $2V$ and then adiabatically to a volume $16\,V$. The final pressure of the gas is (ratio of specific heats $= \frac{5}{3}$

Let force $F = A\sin(Ct) + B\cos(Dx)$, where $x$ and $t$ are displacement and time, respectively. The dimensions of $\frac{C}{D}$ are same as dimensions of

Two vectors of same magnitude have a resultant equal to either of the two vectors. The angle between two vectors is

A small metal sphere of mass $M$ and density $d_1$ when dropped in a jar filled with liquid moves with terminal velocity after sometime. The viscous force acting on the sphere is ($d_2 =$ density of liquid and $g =$ gravitational acceleration)

Two waves $Y_1 = 0.25\sin 316t$ and $Y_2 = 0.25\sin 310t$ are propagating along the same direction. The number of beats produced per second are

When open pipe is closed from one end third overtone of closed pipe is higher in frequency by $150\text{ Hz}$, then second overtone of open pipe. The fundamental frequency of open end pipe will be

The extension in a wire obeying Hooke's law is $x$. The speed of sound in the stretched wire is $v$. If the extension in the wire is increased to $4x$, then the speed of sound in a wire is

Two identical strings of length $l$ and $2l$ vibrate with fundamental frequencies $N\text{ Hz}$ and $1.5N$ Hz, respectively. The ratio of tensions for smaller length to large length is

In diffraction experiment, from a single slit, the angular width of the central maxima does not depend upon

When a photon enters glass from air, which one of the following quantity does not change?

In Young's double slit experiment green light is incident on the two slits. The interference pattern is observed on a screen. Which one of the following changes would cause the observed fringes to be more closely spaced?

A vehicle of mass $m$ is moving with momentum $p$ on a rough horizontal road. The coefficient of friction between the tyres and the horizontal road is $\mu$. The stopping distance is ($g =$ acceleration due to gravity)