MHT CET (PCB) 2025 9th April Evening Shift

The frequency of oscillation of LCR series circuit is ' $F$ '. The value of capacitance is tripled, then new frequency becomes ' xF '. The value of ' $x$ ' is

Out of the following graphs, the correct graphical relation for LC parallel resonant circuit at resonance is

In the Bohr model of hydrogen atom, out of the following quantities, the principal quantum number is proportional to ( $\mathrm{R}, \mathrm{V}$ and E represent radius of the orbit, speed of electron and total energy of the electron respecti...

According to Bohr's first postulate the kinetic energy $\frac{1}{2} m v^2$ of the electron in C.G.S. system is ( $\mathrm{m}=$ mass of electron, v is its velocity, r is the radius of the stationary orbit around the nucleus with charge Ze )

The capacitive reactance of a capacitor connected to 50 V d.c. is

An air capacitor of plate area ' $A$ ' and separation between the plates is ' $d$ ' has a capacity ' $C$ '. Two dielectric slabs are inserted between its plates in two different manners as shown in figure. The capacitance of a capacitor is

A bucket filled with water is revolved in a vertical circle of radius 10 m and water just not fall down. The time period of revolution will be (acceleration due to gravity $=10 \mathrm{~m} / \mathrm{s}^2$ )

The angular separation between the minute hand and the hour hand of clock 40 minutes passed after $12 \mathrm{p} . \mathrm{m}$. is

A cell is balanced against 240 cm and 100 cm of potentiometer wire, respectively, when in open circuit and when short-circuited through a resistance of $5 \Omega$. The internal resistance of the cell is

In a circuit shown, if $10 \Omega$ resistor is replaced by $20 \Omega$, then the current drawn from the battery is

In photoelectric effect experiment, the stopping potential for a given metal is $\mathrm{V}_0$ (in volt) when radiation of wavelength $\lambda_0$ is used. If radiation of wavelength $5 \lambda_0$ is used with the same metal, then the stoppi...

Two identical photocathodes receive light of frequencies ' $f 1$ ' and ' $f_2$ '. The velocity of the photoelectrons of mass ' $m$ ' emitted are respectively ' $\mathrm{v}_1$ ' and ' $\mathrm{v}_2$ '. Then the correct relation is ( $\mathrm...

Two coils having self-inductances $\mathrm{L}_1=75 \mathrm{mH}$ and $L_2=48 \mathrm{mH}$ are coupled with each other. If the mutual inductance of the coils is 37.2 mH , then coefficient of coupling will be

An elastic conducting material is stretched into a circular loop. It is placed with its plane perpendicular to uniform magnetic field $\mathrm{B}=0.6 \mathrm{~T}$. When loop is released, the radius starts shrinking at constant rate $3 \math...

A charge of $8 \mu \mathrm{C}$ exists at the centre of the square $A B C D$. The work done in moving a $4 \mu C$ point charge from corner A to corner B is (Along side AB )

If 80 J of work is required in moving an electric charge of ' 2 C ' from a point where potential is " -8 V ' to another point where potential is ' $V$ ' volt, the value of ' $V$ ' is

If the electric flux entering and leaving an enclosed surface area are ' $\phi_1$ ' and ' $\phi_2$ ' respectively, the electric charge inside the surface will be ( $\varepsilon_0=$ permittivity of free space)

When a big drop of water is formed from n small drops of water, the energy loss is 4 E , where E is the energy of the bigger drop. If $R$ and $r$ is the radius of the bigger and the smaller drop respectively then number of smaller drops $n$...

Two solid spheres of same material but of mass ' M ' and ' 8 M ' fall simultaneously through a viscous liquid. Their terminal velocities are respectively ' V ' and ' nV '. The value ' n ' is

A small steel ball of mass ' M ', radius ' R ' and density ' $\rho$ ' falls with terminal velocity through a tube filled with glycerine of density ' $\sigma$ '. The viscous force acting on the steel ball is ( $\mathrm{g}=$ acceleration due ...

An object is released from a distance ' $r$ ' from the centre of the earth. The velocity of the object at the time of striking the earth will be ( $R=$ radius of earth, $r>R, g=$ acceleration due to gravity)

A Carnot engine has an efficiency of $\frac{1}{6}$. When the temperature of sink is reduced by 62 K , its efficiency is doubled. The temperature of the source is

If the r.m.s. velocity of gas is V at temperature T , then

In resistance thermometer, the resistance at $0^{\circ} \mathrm{C}$ and $100^{\circ} \mathrm{C}$ are $6.74 \Omega$ and $7.74 \Omega$ respectively. The temperature corresponding to $6.53 \Omega$ resistance is

An ideal gas in a container of volume 500 cc is at a pressure of $2 \times 10^5 \mathrm{~N} / \mathrm{m}^2$. The average kinetic energy of each molecule is $6 \times 10^{-21} \mathrm{~J}$. The number of gas molecules in the container is

In thermodynamic process, for free expansion, out of the following select the 'WRONG' statement.

The heat required to increase the temperature from 373 K to 573 K at constant volume for ideal monoatomic gas of 2 moles is ( $R=$ universal gas constant)

Out of the following properties describing diamagnetism, identify the property which is "WRONG"

A rod of circular cross-sectional area A and length $L$ is wound uniformly with $n$ turns of an insulated wire. If current flowing through the windings is I, the total magnetic flux produced inside windings is $\phi$. The relative permeabil...

Magnetic field at the centre of a circular loop of area ' $A$ ' is ' $B$ '. The magnetic moment of the loop is ' $x B$ '. The value of ' $x$ ' is ( $\mu_0=$ permeability of vacuum or free space)

The current $I$ is flowing through a loop $A B C D A$ as shown in the figure. The magnitude of the magnetic field at the centre ' $O$ ' is $x$ times
$$ \left(\frac{\mu_0 \mathrm{I}}{\mathrm{R}}\right)\left(\mathrm{OD}=\mathrm{R}, \mathrm{DC...

Light propagates 2 cm distance in glass of refractive index 1.5 in certain time. In the same time same light propogates a distance of 2.25 cm in a medium. The refractive index of the medium is

Glass has refractive index ' $n$ ' with respect to air and ' $\theta$ ' is the critical angle for a ray of light going from glass to air. If a ray of light is incident from air on the glass with angle of incidence ' $\theta$ ', correspondin...

Two bodies A and B have their moments of inertia I and 3I respectively about their axis of rotation. their kinetic energies of rotation are also equal. The ratio of angular momenta of body A to that of body B is

The main difference in the working of a step-up transformer and CE amplifier is

For a p-type semiconductor, the relation between the number density ' $\mathrm{n}_{\mathrm{h}}$ ' and ' $\mathrm{n}_{\mathrm{e}}$ ' is

The output Y of a given logic circuit is (For inputs $\mathrm{A}, \mathrm{B}$ and C )

Two (A and B) pendulums begin to swing simultaneously. The first pendulum (A) makes five oscillations when the other (B) makes three oscillations. The ratio of the lengths of pendulum $A$ to that of $B$ is

A particle performs S.H.M. with amplitude 'A'. The speed of the particle is $\left(\frac{1}{3}\right)^{\text {rd }}$ of the maximum speed when its displacement from the mean position is

A particle of mass 0.02 kg executes S.H.M. about $\mathrm{x}=0$ under the influence of a force as shown in figure. The period of S.H.M. is

A physical quantity $\mathrm{P}=\frac{\mathrm{A}^3 \sqrt{\mathrm{~B}}}{\mathrm{C}^{-4} \mathrm{D}^{3 / 2}}$. Out of the quantities $\mathrm{A}, \mathrm{B}, \mathrm{C}$ and D , the quantity which brings maximum percentage error in P is

At what angle should the two forces $2 \overrightarrow{\mathrm{P}}$ and $\sqrt{2} \overrightarrow{\mathrm{P}}$ act so that the resultant force is $\sqrt{10} \overrightarrow{\mathrm{P}}$ ?

Monochromatic light of wavelength $4800 \mathop {\rm{A}}\limits^{\rm{o}}$ falls on slit of width ' $a$ '. For what value of ' $a$ ', the first maximum falls at $30^{\circ} .\left(\sin 30^{\circ}=0.5\right)$

In Young's double slit experiment, waves from slits ' $\mathrm{S}_1$ ' and ' $\mathrm{S}_2$ ' have a path difference of $\frac{\lambda}{4}$ and $\frac{\lambda}{6}$ respectively at points $x$ and $y$ on the screen. The ratio of intensities a...

The loudness and pitch of sound note respectively depend upon

A uniform metal wire has length ' $L$ ', mass ' $M$ ' and area of cross-section ' A '. It is under tension ' $T$ ' and ' $V$ ' is the speed of transverse wave along the wire. The density of the wire is

A transverse wave is moving along a string. The linear density of a vibrating string is $2 \times 10^{-3} \mathrm{~kg} / \mathrm{m}$. The wave equation is $y=0.02 \sin (2 x+10 t) m$. The tension in the string is

An open organ pipe and a closed organ pipe have the frequency of their second overtone identical. The ratio of length of closed pipe to that of open pipe is (Neglect end correction)

A stone is projected at an angle $60^{\circ}$ to the horizontal. The ratio of kinetic energy of the stone at point of projection to its kinetic energy at highest point of flight will be $\left(\cos 60^{\circ}=0.5\right)$

Two bodies with kinetic energies in the ratio $3: 1$ are moving with equal linear momentum. The ratio of their masses is