MHT CET 2022 Physics Paper: 11 Aug, Shift 2

In a full wave rectifier circuit without filter, the output current is

The resistance offered by an inductor $(X_L)$ in an a.c. circuit is

A capacitor of capacitance $50\ \mu F$ is connected to a.c. source $e = 220 \sin 50t$ ($e$ in volt, $t$ in second). The value of peak current is

A coil having an inductance of $\frac{1}{\pi}\text{ H}$ is connected in series with a resistance of $300\ \Omega$. If A.C. Source $(20\text{ V} - 200\text{ Hz})$ is connected across the combination, the phase angle between voltage and current is

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

The wave number of the last line of the Balmer series in hydrogen spectrum will be (Rydberg's constant $= 10^{7}\text{ m}^{-1}$)

A parallel plate air capacitor has a uniform electric field 'E' in the space between the plates. Area of each plate is A and the distance between the plates is '$d$'. The energy stored in the capacitor is $[\varepsilon_0 =$ permittivity of free space)

The force between the plates of a parallel plate capacitor of capacitance '$C$' and distance of separation of the plates '$d$' with a potential difference '$V$' between the plates is

A parallel plate capacitor is charged and then disconnected from the charging battery. If the plates are now moved further apart by pulling them by means of insulating handles, then

A body moving in a circular path with a constant speed has constant

Two bodies of masses '$m$' and '$3m$' are rotating in horizontal circles of radii '$r$' and ' $\frac{r}{3}$' respectively. The tangential speed of the body of mass '$m$' is $n$ times that of the heavier body; while the centripetal force is same for both. The value of $n$ is

A bucket containing water is revolved in a vertical circle of radius $r$. To prevent the water from falling down, the minimum frequency of revolution required is

($g =$ acceleration due to gravity)

A galvanometer of resistance $200\ \Omega$ is to be converted into an ammeter. The value of shunt resistance which allows $3\%$ of the mains current through the galvanometer is equal to (nearly)

In the following network, the current through galvanometer will

If the kinetic energy of a free electron doubles, it's de Broglie wavelength ($\lambda$) changes by a factor

The magnetic flux through a coil of resistance '$R$' changes by an amount '$\Delta\phi$' in time '$\Delta t$'. The total quantity of induced electric charge '$Q$' is

A graph of magnetic flux $(\phi)$ versus current (I) is drawn for four inductors A, B, C, D. Larger value of self inductance is for inductor.

Self inductance of a solenoid cannot be increased by

Three equal charges '$q_1$', '$q_2$ ' and '$q_3$' are placed on the three corners of a square of side 'a'. If the force between $q_1$ and $q_2$ is '$F_{12}$' and that between $q_1$ and $q_3$ is '$F_{13}$', then the ratio of magnitudes $\left(\frac{F_{12}}{F_{13}}\right)$ is

If the radius of the spherical gaussian surface is increased then the electric flux due to a point charge enclosed by the surface

A body weighs $500\text{ N}$ on the surface of the earth. At what distance below the surface of the earth it weighs $250\text{ N}$? (Radius of earth, $R = 6400\text{ km}$)

The masses and radii of the moon and the earth are $M_1, R_1$ and $M_2, R_2$ respectively. Their centres are at a distance $d$ apart. What should be the minimum speed with which a body of mass '$m$' should be projected from a point midway between their centres, so as to escape to infinity?

Three discs $x, y$ and $z$ having radii $2\text{ m}, 3\text{ m}$ and $6\text{ m}$ respectively are coated on outer surfaces. The wavelength corresponding to maximum intensity are $300\text{ nm}, 400\text{ nm}$ and $500\text{ nm}$ respectively. If $P_x, P_y$ and $P_z$ are power radiated by them respectively then

When the rms velocity of a gas is denoted by '$v$', which one of the following relations is true? ($T =$ Absolute temperature of the gas.)

Two monatomic ideal gases A and B of molecular masses '$m_1$' and '$m_2$' respectively are enclosed in separate containers kept at the same temperature. The ratio of the speed of sound in gas A to that in gas B is given by

A door $1.2\text{ m}$ wide requires a force of $1\text{ N}$ to be applied perpendicular at the free end to open or close it. The perpendicular force required at a point $0.2\text{ m}$ distant from the hinges for opening or closing the door is

The magnetic susceptibility of the material of a rod is 349 and permeability of vacuum $\mu_0$ is $4\pi \times 10^{-7}$ SI units. Absolute permeability of the material of the rod in SI units is

Two parallel conducting wires of equal length are placed distance 'd' apart, carry currents '$I_1$ ' and '$I_2$' respectively in opposite directions. The resultant magnetic field at the midpoint of the distance between both the wires is

An electron and a proton having the same momenta enter perpendicularly into a magnetic field. What are their trajectories in the field?

A particle starts oscillating simple harmonically from its mean position with time period '$T$'. At time $t = \frac{T}{12}$, the ratio of the potential energy to kinetic energy of the particle is

$\left(\sin 30^\circ = \cos 60^\circ = 0.5, \cos 30^\circ = \sin 60^\circ = \sqrt{3}/2\right)$

The time taken by a particle executing simple harmonic motion of period '$T$', to move from the mean position to half the maximum displacement is

In a medium, the phase difference between two particles separated by a distance '$x$' is $\left(\frac{\pi}{5}\right)$c. If the frequency of the oscillation of particles is $25\text{ Hz}$ and the velocity of propagation of the waves is $75\text{ m/s}$, then the value of $x$ is

A shell is fired at an angle of $30^\circ$ to the horizontal with velocity $196\text{ m/s}$. The time of flight is $\left[\sin 30^\circ = \frac{1}{2} = \cos 60^\circ\right]$

The minimum distance between an object and its real image formed by a convex lens of focal length 'f' is

The speed of light in two media $M_1$ and $M_2$ are $1.5 \times 10^{8}\text{ m/s}$ and $2 \times 10^{8}\text{ m/s}$ respectively. If the light undergoes total internal reflection, the critical angle between the two media is

For a NAND gate, the inputs and outputs are given below.

The values taken by C, D, E, F are respectively

The given circuit has two ideal diodes $D_1$ and $D_2$ connected as shown in the figure. The current flowing through the resistance $R_1$ will be

The excess pressure inside a soap bubble of radius $2\text{ cm}$ is 50 dyne/cm${}^{2}$. The surface tension is

A steel coin of thickness '$d$' and density '$\rho$' is floating on water of surface tension '$T$'. The radius of the coin $(R)$ is [$g =$ acceleration due to gravity]

The work done in blowing a soap bubble of radius $R$ is '$W_1$' at room temperature. Now the soap is heated. From the heated another soap bubble of radius $2R$ is blown and the work done is '$W_2$'. Then

The thermodynamic process in which no work is done on or by the gas is

A monoatomic gas $\left(\gamma = \frac{5}{3}\right)$ initially at $27^\circ\text{C}$ having volume '$V$' is suddenly compressed to one- eighth of its original volume $\left(\frac{V}{8}\right)$. After the compression its temperature becomes

Heat given to a body, which raises its temperature by 1ºC is known as

A hollow pipe of length $0.8\text{ m}$ is closed at one end. At its open end, a $0.5\text{ m}$ long uniform string is vibrating in its second harmonic and it resonates with the fundamental frequency of pipe. If the tension in the string is $50\text{ N}$ and speed of sound in air is $320\text{ m/s}$, the mass of the string is

Two waves are superimposed whose ratio of intensities is $9 : 1$. The ratio of maximum and minimum intensity is

A stationary wave is represented by $y = 10\sin\left(\frac{\pi x}{4}\right)\cos(20\pi t)$ where $x$ and $y$ are in $\text{cm}$ and $t$ in second. The distance between two consecutive nodes is

Consider the following statements about stationary waves.

A. The distance between two adjacent nodes or antinodes is equal to $\frac{\lambda}{2}(\lambda =$ wavelength of the wave)

B. A node is always formed at the open end of the open organ pipe.

Choose the correct option from the following.

A parallel beam of monochromatic light falls normally on a single narrow slit. The angular width of the central maximum in the resulting diffraction pattern

In a Fraunhofer diffraction at a single slit of width 'd' and incident light of wavelength $5500\text{ \AA}$, the first minimum is observed at an angle $30^\circ$. The first secondary maxima is observed at an angle $\theta$, equal to