Physics - 2 — MH-CET Full Length Paper MCQs with Solutions

A uniform rod of mass $M$ and length $L$ is rotated about an axis perpendicular to its length passing through one end. Its moment of inertia is:

Two stars $S_1$ and $S_2$ radiate maximum energy at wavelengths $400\text{ nm}$ and $600\text{ nm}$ respectively. According to Wien's law, the ratio of their absolute temperatures $T_1 / T_2$ is:

The average kinetic energy associated per translational degree of freedom of a gas molecule at absolute temperature $T$ is ($k_B$ is Boltzmann's constant):

A uniform spring of force constant $k$ is cut into two equal halves. The spring constant of each individual half is:

The limit of resolution of an optical telescope having objective diameter $D$ for light of wavelength $\lambda$ is given by:

An infinite plane sheet of charge carries uniform surface charge density $\sigma$. The electric field intensity at distance $r$ from the sheet is proportional to:

A cell of EMF $E$ and internal resistance $r$ is connected across an external variable load $R$. The maximum power is transferred to $R$ when:

The core of a transformer is laminated specifically in order to minimize:

If the momentum of a free particle is doubled, its de Broglie wavelength becomes:

The binding energy per nucleon of ${}^{56}_{26}\text{Fe}$ is approximately:

A transistor common-emitter amplifier has a current gain $\beta = 49$. The value of common-base current gain $\alpha$ is:

A photodiode operates efficiently when it is connected in:

The Boolean expression $Y = \overline{A + B}$ represents which universal logic gate?

A thin uniform circular ring and a solid disc have equal mass and equal radius. The ratio of their moments of inertia about their respective central transverse axes is:

A stationary sound wave in an air column open at both ends has its third harmonic at $900\text{ Hz}$. The fundamental frequency of this open pipe is:

In pure intrinsic silicon crystal at absolute zero temperature ($T = 0\text{ K}$), the material acts as a perfect:

A spherical raindrop of radius $r$ falls through air with terminal speed $v_t$. If two identical raindrops coalesce into a single drop, the new terminal velocity in the same medium will be:

Water flows through a horizontal tube of non-uniform cross-section. At two points $P_1$ and $P_2$, the cross-sectional areas are $A$ and $2A$. If the speed at $P_1$ is $4\text{ m/s}$, the pressure difference $(P_1 - P_2)$ for water ($\rho = 1000\text{ kg/m}^3$) is:

A rectangular loop of area $0.04\text{ m}^2$ rotates at $50\text{ rev/s}$ in a uniform magnetic field $B = 0.5\text{ T}$ perpendicular to the rotation axis. The maximum induced EMF in a coil of 100 turns is:

Two capillary tubes of equal length having radii in the ratio 1:2 are connected in series. The ratio of pressure drops across them for steady laminar flow is:

During an adiabatic expansion of an ideal monatomic gas ($\gamma = 5/3$), the volume increases by a factor of 8. The temperature decreases by a factor of:

A parallel plate air capacitor has capacitance $C$. If a dielectric slab of dielectric constant $K = 4$ and thickness $d/2$ is inserted ($d$ is plate separation), the new capacitance is:

A stone is dropped from a cliff of height $H$. It travels a distance of $25\text{ m}$ in its final second before hitting the ground. Taking $g = 10\text{ m/s}^2$, $H$ is:

Two equal point charges $+q$ are placed at distance $2a$ apart. A third charge $-2q$ is placed at the exact midpoint between them. The net electrostatic potential energy of the three-charge system is:

A curved highway of radius $100\text{ m}$ is banked for a design speed of $72\text{ km/h}$. Taking $g = 10\text{ m/s}^2$, the optimum angle of banking $\theta$ is:

A ballet dancer spins with angular velocity $\omega$ with arms outstretched. When she pulls her arms inward, her moment of inertia reduces by 40%. Her new angular velocity is:

Work done in blowing a spherical soap bubble from radius $R$ to $2R$ in air (surface tension $T$) is:

An ideal gas expands isothermally from volume $V_0$ to $2V_0$, doing work $W_1$. If the same gas is expanded adiabatically from $V_0$ to $2V_0$, doing work $W_2$, then:

A particle executes S.H.M. represented by $x = 0.05 \sin(100t + \pi/6)\text{ m}$. The maximum velocity of the particle is:

The fundamental frequency of a stretched string of fixed length under tension $T$ is $n$. If the tension is increased by 69%, the percentage increase in its fundamental frequency is: