MHT CET (PCB) 2025 9th April Morning Shift

An alternating voltage $\mathrm{V}=100 \sqrt{2} \sin (50 \mathrm{t})$ is connected to $2 \mu \mathrm{~F}$ capacitor through a.c. ammeter. The reading of the ammeter is

An inductor of 0.5 mH , capacitor of $20 \mu \mathrm{~F}$ and resistance of $20 \Omega$ are connected in series with a 220 V a.c. source. If the current is in phase with e.m.f., the maximum current in the circuit is $\sqrt{x} A$. The value ...

In an a.c. circuit $I=50 \sin 100 \pi t$. The time required for the current to achieve its peak value will be

A capacitor of capacitance ' C ' is connected across a.c. source of voltage V as $\mathrm{V}=\mathrm{V}_0 \sin \omega \mathrm{t}$. The displacement current between the plates of the capacitor would be

In the spectrum of hydrogen atom the ratio of the longest wavelength in the Balmer series to the longest wavelength in the Lyman series is

The series limit for the frequency of Balmer series is ' $\mathrm{v}_{\mathrm{B}}$ ', then the series limit frequency of Paschen series ' $v_p$ ' is

When three capacitors of capacitances ' C ', ' 2 C '? and ' 3 C ' are connected in series. The potential difference applied across the combination is ' $V$ '. The energy stored in the circuit is

A string of length $L$ is fixed at one end and carries a mass m at the other end. The string makes $\frac{3}{\pi}$ revolutions per second around the vertical axis through the fixed end. The tension in the string is

The range of voltmeter of resistance $300 \Omega$ is 5 V . The resistance required to be connected to convert it into an ammeter of range 5 A is nearly

In a given circuit, AB is a uniform potentiometer wire. If the value of resistance ' $R$ ' is slightly increased, the balance point

A photon and an electron have equal energy ' $E$ '. The ratio of wavelength of photon to wavelength of electron is proportional to

The energy of a photon is equal to the kinetic energy of proton. If $\lambda_1$ is the de-Broglie wavelength of a proton, $\lambda_2$ is the wavelength associated with the photon and if E is the energy of photon then $\lambda_2: \lambda_1$ ...

Two inductors of 88 mH each are joined in parallel. The current passing through this combination is 4 A . The energy stored in this combination of inductors in joule is

A bicycle wheel of diameter ' $D$ ' has ' $N$ ' number of spokes. Wheel is rotating at the rate of ' $x$ ' revolutions per minute, perpendicular to the horizontal component of earth's magnetic field ' $\mathrm{B}_{\mathrm{H}}$ '. The e.m.f....

If current ' i ' is passing through the solenoid of diameter ' $d$ ' having number of turns per unit length ' $n$ ', then the inductance per unit length near the middle of a long solenoid is directly proportional to

The charges are arranged at the four corners of square $A B C D$ of side ' $d$ ' as shown in figure. The work required to put this arrangement together is given by

A simple pendulum has mass 2 gram and charge $2 \mu \mathrm{C}$. In a uniform horizontal electric field of intensity $1000 \mathrm{~V} / \mathrm{m}$, pendulum is at rest. At equilibrium, the angle made by the pendulum with the vertical is (...

If the shape of the liquid surface is curved, then the

A spherical liquid drop of radius R is divided into 64 equal droplets. If surface tension is $T$ then the work done in this process will be

A glass capillary of radius 0.35 mm is inclined at $60^{\circ}$ with the vertical in water. The length of water column in the capillary tube is (surface tension of water $=7 \times 10^{-2} \mathrm{Nm}^{-1}$, acceleration due to gravity $=10...

The value of acceleration due to gravity (g) becomes $\left(\frac{g}{3}\right)$ at height ' $h$ ' above the earth's surface. If ' R ' is the radius of earth, the height h will be equal to

A gas at $800^{\circ} \mathrm{C}$ is cooled until both its pressure and volume are halved. The final temperature of the gas will be

When the r.m.s. velocity of a gas is denoted by ' V ' and temperature of the gas by T , which of the following relations is TRUE?

The average kinetic energy of a molecule of the gas is

Two spherical black bodies of radius $\mathrm{R}_1$ and $\mathrm{R}_2$ with surface temperatures $\mathrm{T}_1$ and $\mathrm{T}_2$ respectively. If $T_1=2 T_2$ and they radiate the same power then relation between $R_1$ and $R_2$ is

In an adiabatic change, the pressure and temperature of a diatomic gas are related as $\mathrm{P} \propto \mathrm{T}^{\mathrm{c}}$, where c is a constant. The value of c is (consider gas molecules are rigid)

A system is compressed adiabatically, then its temperature

Force is applied to a body of mass 2 kg at rest on a frictionless horizontal surface as shown in the force against time $(\mathrm{F}-\mathrm{t})$ graph. The speed of the body after 1 s is

A solenoid has core of a material with relative permeability 301 and its winding carries a current of 2 A . The number of turns of the solenoid is 600 per metre. The magnetization of the material is

In a projectile motion shown in figure, which one of the following statements is NOT CORRECT?

A straight wire of mass ' M ' and length 2 m is placed in a magnetic field of 2 T which is acting perpendicular to the length of the wire. When a current of 1 A flows through the wire, the wire experiences an upthrust and leviates in a magn...

The magnetic field at the centre of a current carrying circular coil of area ' $A$ ' is ' $B$ '. The magnetic moment of the coil is $x$ times $\left(2 B / \mu_0\right)$. The value of $x$ is ( $\mu_0=$ permeability of free space)

A lens of power +5 D is put in contact with a lens of power -3 D . The combination will behave like a

Four solid spheres each of mass ' $m$ ' and radius ' $r$ ' are arranged as shown in the figure. The moment of inertia of the system about the given axis of rotation $\mathrm{AA}^1$ is

Four thin rods of same mass M and same length L form a square as shown in figure. Moment of inertia of this system about an axis passing through point O and perpendicular to its plane is

When forward bias is applied to a p-n junction, then the potential barrier and the width of the depletion region respectively.

In common emitter configuration, $\beta, \mathrm{R}_{\mathrm{L}}$ and r are the a.c. current gain, load resistance and the input resistance of a transistor respectively. The voltage and power gain respectively are

The order of (a) transformer (b) diode rectifier (c) filter (d) voltage regulator in a block diagram of simple rectifier circuit is as
(a) b, d, c, a
(b) a, c, d, b
(c) a, b, c, d
(d) d, c, a, b

A particle vibrating simple harmonically has an acceleration of $16 \mathrm{~cm} / \mathrm{s}^2$, when it is at a distance of 4 cm from the mean position. Its periodic time is

The average velocity of a particle performing S.H.M. in one complete vibration is ( $\mathrm{A}=$ amplitude of S.H.M., $\omega=$ angular velocity)

A mass ' $M$ ' is suspended from a spring of negligible mass. The spring is pulled a little and then released so that the mass executes S.H.M. of periodic time ' $T$ '. If the mass is increased by ' $m$ ', the time period becomes $4 T / 3$,...

A rigid body weighs 25 gram and has a measured volume of $5 \mathrm{~cm}^3$. The possible error in the measurement of mass and volume are 0.01 gram and $0.1 \mathrm{~cm}^3$. The maximum error in the density will be

If $|\vec{A} \times \vec{B}|=\sqrt{3}(\vec{A} \cdot \vec{B})$ then the value of $|\vec{A}+\vec{B}|$ is $\left(\tan 60^{\circ}=\sqrt{3}, \cos 60^{\circ}=0.5\right)$

' n ' polarising sheets are arranged such that each makes an angle $45^{\circ}$ with the proceeding sheet. An unpolarised light of intensity I is incident into this arrangement. The output intensity is I/ 64 . The value of $n$ will be $\lef...

In an interference experiment, the phase difference between the waves reaching a first dark point is

In Young's double slit experiment, the intensities at two points, for the path difference $\frac{\lambda}{4}$ and $\frac{\lambda}{3}$ are $\mathrm{I}_1$ and $\mathrm{I}_2$ respectively. If $\mathrm{I}_0$ denotes the intensity produced by ea...

A wave is travelling in the negative x direction having displacement 3 cm along Y direction, wavelength $2 \pi \mathrm{~m}$ and frequency $\left(\frac{1}{2 \pi}\right) \mathrm{Hz}$ is represented as ( $t=$ time)

A passenger is sitting in a train which is moving fast. The engine blows a whistle of frequency ' n '. If the apparent frequency of sound heard by the passenger is $n^1$ then

Two points on a travelling wave having frequency 500 Hz and velocity $300 \mathrm{~m} / \mathrm{s}$ are $30^{\circ}$ out of phase, then the minimum distance between the two points is

A simple harmonic progressive wave is given by $y=A \sin 2 \pi\left(n t-\frac{x}{\lambda}\right)$. If the wave velocity is equal to $=\frac{1}{3}$ (maximum particle velocity) then the wavelength $\lambda$ is given by