Physics - 5 — MH-CET Full Length Paper MCQs with Solutions

A stretched wire of length $1\text{ m}$ vibrates in its fundamental mode at $250\text{ Hz}$. The velocity of transverse waves along the wire is:

An open organ pipe of length $L_1$ and a closed organ pipe of length $L_2$ have the same fundamental frequency. The ratio $L_1 / L_2$ (neglecting end corrections) is:

In Young's double-slit experiment, if monochromatic red light ($\lambda = 700\text{ nm}$) is replaced by violet light ($\lambda = 400\text{ nm}$), then:

Two long parallel straight conductors carrying currents $I_1$ and $I_2$ in opposite directions separated by distance $d$ exert on each other a force per unit length that is:

The magnetic susceptibility of a diamagnetic substance is:

An inductor of $5\text{ H}$ carries a steady current of $2\text{ A}$. The magnetic field energy stored within the inductor is:

In an electromagnetic wave traveling along the $+x$-direction, the electric field oscillates along the $y$-axis. The magnetic field vector $\vec{B}$ oscillates along the:

In a half-wave rectifier supplied with an AC line frequency of $50\text{ Hz}$, the fundamental ripple frequency in the rectified output is:

A solar cell generates electrical energy from light by utilizing:

The universal logic gate among the following that produces a low output ($0$) only when all inputs are high ($1$) is:

Two waves of equal amplitude $A$ and angular frequency $\omega$ travel along opposite directions on a string to form a standing wave. The amplitude of vibration at an antinode is:

A bar magnet of magnetic moment $M$ is cut along its length into two identical halves. The magnetic moment of each half is:

In an n-type semiconductor at room temperature, the concentration of majority carriers is predominantly determined by the:

A vehicle of mass $m$ travels on a rough banked curve of radius $r$ banked at an angle $\theta$ with coefficient of friction $\mu$. The minimum safe speed $v_{\min}$ to prevent slipping down the incline is:

A particle moves in a horizontal circle of radius $r = 2\text{ m}$ under a central force $F = -k/r^2$. If the kinetic energy of the particle is $10\text{ J}$, the magnitude of the angular momentum of the particle of mass $m = 0.5\text{ kg}$ is:

Two glass plates separated by a thin water film of thickness $d = 0.1\text{ mm}$ over an area $A = 10\text{ cm}^2$ require a pulling force $F$ to pull apart. If surface tension of water is $0.07\text{ N/m}$, then $F$ is:

Two containers $A$ and $B$ have equal volumes and hold an ideal gas at temperatures $300\text{ K}$ and $400\text{ K}$ and pressures $2\text{ atm}$ and $1\text{ atm}$ respectively. When connected by a narrow tube of negligible volume, the final common pressure at constant temperature is:

In a meter bridge experiment, null point is found at $60\text{ cm}$ from the left edge. When a shunt of $10\,\Omega$ is connected across the resistance in the right gap, the null point shifts to $75\text{ cm}$. The original resistance in the right gap was:

An electron and a photon each possess a wavelength of $1.0\text{ nm}$. The ratio of the photon's kinetic energy to the electron's kinetic energy is ($m_e = 9.1 \times 10^{-31}\text{ kg}$):

A metal ball of surface area $200\text{ cm}^2$ at temperature $527^\circ\text{C}$ is placed in an evacuated enclosure at $27^\circ\text{C}$. Taking emissivity $e = 0.5$ and $\sigma = 5.67 \times 10^{-8}\text{ W}\cdot\text{m}^{-2}\cdot\text{K}^{-4}$, the net rate of radiative heat loss is approximately:

A sound source moves away from a stationary observer towards a cliff with speed $v_s = 20\text{ m/s}$ while emitting sound of frequency $600\text{ Hz}$. If speed of sound is $340\text{ m/s}$, the frequency of the echo heard by the observer reflected from the cliff is:

A convex lens of focal length $f = 20\text{ cm}$ in air ($\mu_g = 1.5$) is completely immersed in water ($\mu_w = 4/3$). The new focal length of the lens in water is:

A solid sphere of mass $M$ and radius $R$ rolls without slipping down an incline. The fraction of its total kinetic energy that resides in rotational motion is:

Air streams horizontally past an airplane wing such that speed over the top surface is $70\text{ m/s}$ and past the bottom surface is $60\text{ m/s}$. If air density is $1.3\text{ kg/m}^3$ and wing area is $20\text{ m}^2$, the dynamic lift force is:

Terminal velocity of a spherical body of density $\rho$ falling in a fluid of density $\sigma$ and viscosity $\eta$ is $v_t$. If the radius of the sphere is doubled while its mass is made 8 times, the terminal velocity becomes:

For an ideal gas undergoing an adiabatic process, the bulk modulus of elasticity is equal to:

A refrigerator absorbs $2000\text{ J}$ of heat from the cold reservoir per cycle and delivers $2500\text{ J}$ to the surrounding room. The coefficient of performance (COP) of the refrigerator is:

A particle executing linear S.H.M. has velocities $v_1 = 4\text{ m/s}$ and $v_2 = 3\text{ m/s}$ at displacements $x_1 = 3\text{ cm}$ and $x_2 = 4\text{ cm}$ respectively. The amplitude of oscillation is:

A simple pendulum suspended from the ceiling of a lift has time period $T$. When the lift accelerates upward with acceleration $a = g/3$, the new time period becomes:

Two polaroids $P_1$ and $P_2$ have transmission axes crossed at $90^\circ$. A third polaroid $P_3$ is placed between them with its axis oriented at $45^\circ$ to $P_1$. If unpolarized light of intensity $I_0$ is incident on $P_1$, transmitted intensity after $P_2$ is: