MHT CET 2024 Physics Paper: 4 May, Shift 2

An alternating current is given by $I = 100 \sin(50\pi t)$. How many times will the current become zero in one second?

In series LCR resonant circuit, the capacitance is changed from C to 3 C. To obtain the same resonant frequency, the inductance should be changed from $L$ to

A coil of self inductance L is connected in series with a bulb B and an a.c. source. Brightness of the bulb decreases when

The ratio of minimum wavelengths of Lyman and Balmer series will be

A body moves along a circular path of radius 15 cm. It starts from a point on the circular path and reaches the end of diameter in 3 seconds. The angular speed of the body in $\text{rad/s}$ is

When a galvanometer is shunted by a resistance ' $s$ ', its current capacity increases ' $n$ ' times. If the same galvanometer is shunted by another resistance ' $s_1$ ', its capacity will increase to ' $n_1$ ' times original current. The value of ' $n_1$ ' is

In a Wheatstone's bridge, the resistances in four arms are as shown in the figure. The balancing condition of the bridge is

The kinetic energy of an electron is increased by 2 times, then the de-Broglie wavelength associated with it changes by a factor.

A photosensitive metallic surface has work function $\phi$. If photon of energy $3\phi$ falls on the surface, the electron comes out with a maximum velocity of $6 \times 10^{6}\text{ m/s}$. When the photon energy is increased to $9\phi$, then maximum velocity of photoelectrons will be

A magnetic field of $2 \times 10^{-2}\text{ T}$ acts at right angles to a coil of area $100\text{ cm}^{2}$ with 50 turns, The average e.m.f. induced in the coil is 0.1 V, when it is removed from the field in time $t$. The value of ' $t$ ' is (in second)

The planar concentric rings of metal wire having radii $r_1$ and $r_2$ (with $r_1 > r_2$) are placed in air. The current $I$ is flowing through the coil of larger radius. The mutual inductance between the coils is given by ( $\mu_0 =$ permeability of free space)

A current of 0.5 A is passed through winding of a long solenoid having 400 turns. The magnetic flux linked with each turn is $3 \times 10^{-3}\text{ Wb}$. The self inductance of the solenoid is

Two surfaces A and B are enclosing the charges as shown below. The total normal electric induction (T.N.E.I) through the surfaces A and B are respectively.

A spherical rubber balloon carries a charge, uniformly distributed over the surface. As the balloon is blown up and increases in size, the total electric flux coming out of the surface

If the electric flux entering and leaving an enclosed surface are $\phi_1$ and $\phi_2$ respectively, the electric charge inside the surface will be

If a $10\ \mu\text{C}$ charge exists at the centre of a square, the work done in moving a $2\ \mu\text{C}$ point charge from corner A to corner B of a square ABCD is

An electron of mass ' $m$ ' and charge ' $q$ ' is accelerated from rest in a uniform electric field of intensity ' $E$ '. The velocity acquired by it as it travels a distance ' $l$ ' is ' $v$ '. The ratio $\frac{q}{m}$ in terms of $E, l$ and $v$ is

A hemispherical portion of radius ' $R$ ' is removed from the bottom of a cylinder of radius ' R '. The volume of the remaining cylinder is ' V ' and its mass is ' M '. It is suspended by a string in a liquid of density ' $\rho$ ', where it stays vertical. The upper surface of the cylinder is at a depth ' $h$ ' below the liquid surface. The force on the bottom of the cylinder by the liquid is

A pendulum is oscillating with frequency ' $n$ ' on the surface of earth. If it is taken to a depth $\frac{R}{4}$ below the surface of earth, new frequency of oscillation of depth $\frac{R}{4}$ is ( $R =$ radius of earth)

The escape velocity from earth surface is $11\text{ km/s}$. The escape velocity from a planet having twice the radius and same mean density as earth is

Two bodies ' X ' and ' Y ' at temperatures ' $T_1$ ' K and ' $T_2$ ' K respectively have the same dimensions. If their emissive powers are same, the relation between their temperatures is

A real gas behaves as an ideal gas at

A magnetic intensity of $500\text{ A/m}$, produces a magnetic flux of $2.4 \times 10^{-5}\text{ Wb}$ in an iron bar of cross- sectional area $0.4\text{ cm}^2$. The magnetic permeability of the iron bar is

A particle carrying a charge equal to 100 times the charge on an electron is rotating one rotation per second in a circular path of radius 0.8 m. The value of magnetic field produced at the centre will be ( $\mu_0 =$ permeability of vacuum)

Half-lives of two radioactive elements A and B are 30 minute and 60 minute respectively. Initially the samples have equal number of nuclei. After 120 minute the ratio of decayed numbers of nuclei of $B$ to that of $A$ will be

A mass ' $m$ ' attached to a spring oscillates with a period of 3 second. If the mass is increased by 0.6 kg, the period increases by 3 second. The initial mass ' $m$ ' is equal to

The maximum velocity and maximum acceleration of a particle performing a linear S.H.M. is ' $\alpha$ ' and ' $\beta$ ' respectively. Then the path length of the particle is

Some water is filled in a container of height 30 cm. If it is to appear half filled to the observer when viewed from the top of the container, the height up to which water should be filled in it, is [Refractive index of water $= \frac{4}{3}$ ]

A convex lens of refractive index $\frac{3}{2}$ has a power 2.5. If it is placed in a liquid of refractive index 2, the new power of the lens is

A thin uniform circular disc of mass ' $M$ ' and radius ' $R$ ' is rotating with angular velocity ' $\omega$ ' in a horizontal plane about an axis passing through its centre and perpendicular to its plane. Another disc of same radius but of mass $\left(\frac{M}{3}\right)$ is placed gently on the first disc co-axially. The new angular velocity will be

Two solid spheres ( A and B) are made of metals having densities $\rho_A$ and $\rho_B$ respectively. If there masses are equal then ratio of their moments of inertia $\left(\frac{I_B}{I_A}\right)$ about their respective diameter is

A solid cylinder of mass ' $M$ ' and radius ' $R$ ' rolls down an inclined plane of height ' $h$ '. When it reaches the foot of the plane, its rotational kinetic energy is ( $g =$ acceleration due to gravity)

The truth table for the given logic circuit is

The depletion layer in p-n junction region is caused by

In the circuit diagram shown in figure, the current through the zener diode is

Identify the correct figure which shows the relation between the height of water column in a capillary tube and the capillary radius.

A water film is formed between two parallel wires of 10 cm length. The distance of 0.5 cm between the wires is increased by 1 mm. The work done in the process is (surface tension of water $= 72\text{ N/m}$)

If $C_p$ and $C_v$ are molar specific heats of an ideal gas at constant pressure and volume respectively and ' $\gamma$ ' is $C_p/C_v$ then $C_p =$ ( $R =$ universal gas constant)

A perfect gas of volume 5 litre is compressed isothermally to volume of 1 litre. The r.m.s. speed of the molecules will

The change in the internal energy of the mass of gas, when the volume changes from ' $V$ ' to ' 2 V ' at constant pressure ' $P$ ' is ( $\gamma$ is the ratio of specific heat of gas at constant pressure to specific heat at constant volume)

A lead bullet moving with velocity ' $v$ ' strikes a wall and stops. If $50\%$ of its energy is converted into heat, then the increase in temperature is ( $s =$ specific heat of lead)

A set of 28 turning forks is arranged in an increasing order of frequencies. Each fork produces ' $x$ ' beats per second with the preceding fork and the last fork is an octave of the first. If the frequency of the $12$th fork is 152 Hz, the value of ' $x$ ' (no. of beats per second) is

A train sounding a whistle of frequency 510 Hz approaches a station at $72\text{ km/hr}$. The frequency of the note heard by an observer on the platform as the train (1) approaches the station and then (2) recedes the station are respectively (in hertz) (velocity of sound in air $= 320\text{ m/s}$)

A transverse wave travelling along a stretched string has a speed of $30\text{ m/s}$ and a frequency of 250 Hz. The phase difference between two points on the string 10 cm apart at the same instant is

A stationery wave is represented by $y = 12\cos\left(\frac{\pi}{6}x\right)\sin(8\pi t)$, where $x \,\&\, y$ are in cm and $t$ in second. The distance between two successive antinodes is

In a biprism experiment, monochromatic light of wavelength ' $\lambda$ ' is used. The distance between the two coherent sources ' $d$ ' is kept constant. If the distance between slit and eyepiece ' $D$ ' is varied as $D_1, D_2, D_3, D_4$ and corresponding measured fringe widths are $W_1,\ W_2,\ W_3,\ W_4$ then

A parallel beam of light of intensity $I_0$ is incident on a glass plate, $25\%$ of light is reflected by upper surface and $50\%$ of light is reflected from lower surface. The ratio of maximum to minimum intensity in interference region of reflected rays is

A single slit of width $d$ is illuminated by violet light of wavelength 400 nm and the width of the diffraction pattern is measured as ' Y '. When half of the slit width is covered and illuminated by yellow light of wavelength 600 nm, the width of the diffraction pattern is

A carpet of mass ' $M$ ' made of a material is rolled along its length in the form of a cylinder of radius ' $R$ ' and kept above the rough floor. If the carpet is unrolled without sliding to a radius ' $R/2$ '. The change in potential energy is ( $g =$ acceleration due to gravity)