Physics - 4 — MH-CET Full Length Paper MCQs with Solutions

The flow of a liquid through a pipe of diameter $D$ is turbulent if the Reynolds number $R_e$ is:

The mean free path $\lambda$ of gas molecules having molecular diameter $d$ and number density $n$ is given by:

The capacitance of a parallel-plate air capacitor is $8\,\mu\text{F}$. If the space between plates is completely filled with mica of dielectric constant $K = 6$, the capacitance becomes:

The electric field intensity at an axial point distance $r$ from an electric dipole of moment $p$ ($r \gg$ dipole length) is proportional to:

Ampere's circuital law around any closed path enclosing net steady current $I_{\text{enc}}$ is stated mathematically as:

A charged particle enters a transverse magnetic field with pitch angle $90^\circ$. The work done by the magnetic Lorentz force on the charged particle along its path is always:

The curie temperature $T_c$ of a ferromagnetic material represents the transition temperature above which the material behaves as:

The magnetic energy stored per unit volume in a uniform magnetic field $B$ in vacuum is given by:

In a series LCR alternating current circuit, the phase angle $\phi$ between applied voltage and resulting current is zero when:

According to Bohr's postulate, the orbital angular momentum of an electron revolving in the $n^{\text{th}}$ stationary orbit is quantized as:

In a common emitter (CE) NPN transistor amplifier, the phase difference between the input AC signal and the output amplified signal is:

The decimal equivalent of binary number $(1101)_2$ is:

During an isothermal expansion of an ideal gas, the change in its internal energy ($\Delta U$) is:

Which of the following pairs of physical quantities have identical dimensional formulas?

In an intrinsic semiconductor, the Fermi energy level at absolute zero temperature lies:

A motor cyclist loops a vertical globe of death of diameter $10\text{ m}$. The minimum speed he must maintain at the topmost point to avoid falling off is ($g = 10\text{ m/s}^2$):

The moment of inertia of a uniform circular disc of mass $M$ and radius $R$ about a tangent in its plane is:

A constant external torque of $20\text{ N}\cdot\text{m}$ acts on a flywheel of moment of inertia $5\text{ kg}\cdot\text{m}^2$ initially at rest. The kinetic energy acquired by the flywheel in $4\text{ seconds}$ is:

A U-tube contains water and kerosene separated by mercury. If mercury levels in both limbs are equal, the ratio of column heights of water and kerosene ($h_w / h_k$) is ($\rho_w = 1.0\text{ g/cm}^3$, $\rho_k = 0.8\text{ g/cm}^3$):

A needle of length $5\text{ cm}$ floats on the surface of water. The minimum downward force required to pull the needle off the surface is ($T_{\text{water}} = 0.07\text{ N/m}$):

In an isobaric heating process of an ideal diatomic gas, the fraction of total heat absorbed that goes into performing external work ($\Delta W / Q$) is:

A black body radiator at $27^\circ\text{C}$ radiates heat at a rate of $5\text{ W/cm}^2$. The rate of heat radiation by the same body at $327^\circ\text{C}$ is:

A mass $m$ is suspended simultaneously from two identical vertical springs each of force constant $k$ connected in parallel. The time period of vertical oscillation is:

A simple harmonic oscillator has total mechanical energy $E$. At half the maximum amplitude ($x = A/2$), its potential energy is:

Two tuning forks when sounded together produce 5 beats per second. When the prong of the fork of higher frequency is loaded with a little wax, the beat frequency decreases to 2 beats/s. If the other fork has frequency $256\text{ Hz}$, the original frequency of the loaded fork was:

The velocity of sound in a gas is $v$. If the absolute temperature of the gas is made 4 times and the pressure is doubled, the new speed of sound is:

In a single-slit Fraunhofer diffraction pattern, the first diffraction minimum for light of wavelength $600\text{ nm}$ occurs at an angle of $30^\circ$. The width of the slit is:

Two coherent sources of monochromatic light produce an interference pattern on a screen. If the ratio of maximum to minimum intensity in the pattern is $9:1$, the ratio of their individual amplitudes is:

A uniform copper wire of resistance $20\,\Omega$ is bent into a closed circular loop. The effective electrical resistance between two diametrically opposite points of this loop is:

In a meter bridge experiment, balance is obtained at $20\text{ cm}$ from the left end when unknown resistance $X$ is placed in the left gap and standard $12\,\Omega$ resistor in the right gap. The value of $X$ is: