MHT CET 2024 Physics Paper: 2 May, Shift 1

In an a.c. circuit $I = 100 \sin 200\pi t$. The time required for the current to achieve its peak value will be

In the given circuit, when $S_1$ is closed, the capacitor gets fully charged. Now $S_1$ is open and $S_2$ is closed. Then

In an A.C. circuit, the potential difference ' $V$ ' and current 'I' are given respectively by $V = 100\sin(100t)\text{ V}, I = 100\sin\left(100t + \frac{\pi}{3}\right)\text{ mA}$ The power dissipated in the circuit will be [Given $\rightarrow \cos\frac{\pi}{3} = \frac{1}{2}$ ]

The radius of innermost orbit of hydrogen atom is $5.3 \times 10^{-11}\text{ m}$. The radius of fourth allowed orbit of hydrogen atom is

In the third orbit of hydrogen atom the energy of an electron ' $E$ '. In the fifth orbit of helium $(Z = 2)$ the energy of an electron will be

A circuit having a self inductance of 1 henry carries a current of 1 A. To prevent the sparking when the circuit is broken, a capacitor which can withstand 500 V is connected across the switch. What is the minimum value of the capacitance of the capacitor?

A particle is performing uniform circular motion along the circumference of the circle of diameter 1 m with frequency 4 Hz. The acceleration of the particle in $\text{m/s}^2$ is

A particle at rest starts moving with a constant angular acceleration of $4\text{ rad/s}^2$ in a circular path. The time at which magnitudes of its centripetal acceleration and tangential acceleration will be equal, is (in second)

A galvanometer of resistance ' $G$ ' is shunted by resistance of 'S' ohm. To keep the main current in the circuit unchanged the resistance to be put in series with Galvanometer is

The resistances in the left and right gap of a metre bridge are $40\ \Omega$ and $60\ \Omega$ respectively. When the bridge is balanced, the distance of the null point from the centre of the wire towards left is

When a metallic surface is illuminated with a radiation of wavelength ' $\lambda$ ', the stopping potential is ' $V$ '. If the same surface is illuminated with radiation of wavelength ' $3\lambda$ ', the stopping potential is ' $\left(\frac{V}{6}\right)$ '. The threshold wavelength for the surface is

The work function of metal ' $A$ ' and ' $B$ ' are in the ratio $1 : 2$. If light of frequency ' $f$ ' and ' $2f$ ' is incident on surface ' $A$ ' and ' $B$ ' respectively, then the ratio of kinetic energies of emitted photo electrons is

A bicycle wheel of radius ' $R$ ' has ' $n$ ' spokes. It is rotating at the rate of ' $F$ ' r.p.m. perpendicular to the horizontal component of earth's magnetic field $\vec{B}$. The e.m.f. induced between the rim and the centre of the wheel is

The magnetic energy stored in an inductor of inductance $5\ \mu\text{H}$ carrying a current of 2 A is

A uniformly charged conducting sphere of diameter 14 cm has surface charge density of $40\ \mu\text{C m}^{-2}$. The total electric flux leaving the surface of the sphere is nearly (Permittivity of free space $= 8.85 \times 10^{-12}$ SI unit)

The electrostatic potential inside a charged spherical ball is given by $V = ar^2 + b$ where ' r ' is the distance from its centre and ' $a$ ' and ' $b$ ' are constants. The volume charge density of the ball is [ $\varepsilon_0 =$ permittivity of free space $]$

90 J of work is done to move an electric charge of magnitude 3 C from a place A, where potential is -10 V to another place B, where potential is ' $V_1$ ' volt. The value of $V_1$ is

Three charges are placed at the vertices of an equilateral triangle as shown in the figure. For what value of charge ' $Q$ ', the electrostatic potential energy of the system is zero?

A streamline flow of a liquid of density ' $\rho$ ' is passing through a horizontal pipe of crosssectional area $A_1$ and $A_2$ at two ends. If the pressure of liquid is ' P ' at a point where flow speed is ' $v$ ', then pressure at another point where the flow of speed becomes 3 v is

Glycerine of density $1.25 \times 10^{3}\text{ kg/m}^3$ is flowing in conical shaped horizontal pipe. Crosssectional area of the pipe at its both ends is $10\text{ cm}^2$ and $5\text{ cm}^2$ respectively. Pressure difference at both the ends is $3\text{ N/m}^2$. Rate of flow of liquid in the pipe is

The height above the earth's surface at which the acceleration due to gravity becomes $\left(\frac{1}{n}\right)$ times the value at the surface is ( $R =$ radius of earth)

The magnitude of gravitational field at distance ' $r_1$ ' and ' $r_2$ ' from the centre of a uniform sphere of radius ' $R$ ' and mass ' $M$ ' are ' $F_1$ ' and ' $F_2$ ' respectively. The ratio ' $(F_1/F_2)$ ' will be (if $r_1 > R$ and $r_2 < R$)

The frequency ' $\nu_{\text{m}}$ ' corresponding to which the energy emitted by a black body is maximum may vary with the temperature ' $T$ ' of the body as shown by the curves ' A ', ' B ', ' C ' and ' D ' in the figure. Which one of these represents the correct variation?

At S.T.P., the mean free path of gas molecule is 1500 d, where ' $d$ ' is diameter of molecule. What will be the mean free path at 373 K at constant volume?

Two identical blocks each of mass ' M ' attached to the ends of a massless inextensible string which passes over a pulley with a fixed axis as shown below. A small mass ' $m$ ' is now placed on the block B. The acceleration with which the two blocks move together is [g = gravitational acceleration]

At certain place a magnet makes 30 oscillations per minute. At another place if the magnetic induction is increased by two times the magnetic induction at first place, then the time period of same magnet will be

The acceleration of a moving body can be found from

Two identical current carrying coils with same centre are placed with their planes perpendicular to each other. If current $I = \sqrt{2}\text{ A}$ and radius of the coil is $R = 1\text{ m}$, then magnetic field at centre is equal to ( $\mu_0 =$ permeability of free space)

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

A particle is performing simple harmonic motion and if the oscillations are damped oscillations then the angular frequency is given by

Choose the correct answer. When a point of suspension of pendulum is moved vertically upward with acceleration ' $a$ ', its period of oscillation

Three masses $500\text{ g}, 300\text{ g}$ and 100 g are suspended at the end of spring as shown in figure and are in equilibrium. When the 500 g mass is removed, the system oscillates with a period of 3 second. When the 300 g mass is also removed it will oscillate with a period of

Two thin lenses have a combined power of +9D. When they are separated by a distance of 20 cm, their equivalent power becomes $+\frac{27}{5}\text{ D}$. The power of both the lenses in dioptre are respectively

The telescopes, for a given wavelength, the objectives with large aperture are used for

A plane mirror produces a magnification of

An annular ring has mass 10 kg and inner and outer radii are 5 m and 10 m respectively. Its moment of inertia about an axis passing through its centre and perpendicular to its plane is

In semiconductors at room temperature,

In an NPN transistor $10^{10}$ electrons enter the emitter in $10^{-6}\text{ s}$ and $2\%$ electrons recombine with holes in base. The current ratios ' $\alpha$ ' and ' $\beta$ ' of a transistor are respectively (nearly)

The logic circuit in figure is equivalent to

The pressure inside a soap bubble A is 1.01 atmosphere and that in a soap bubble B is 1.02 atmosphere. The ratio of volume of $A$ to that of $B$ is

A sample of oxygen gas and a sample of hydrogen gas both have the same mass, same volume and the same pressure. The ratio of their absolute temperature is (Molecular wt. of $\text{O}_2 \,\&\, \text{H}_2$ is 32 and 2 respectively)

The P-V graph of an ideal gas, cycle is shown. The adiabatic process is described by the region

One mole of an ideal gas at an initial temperature of ' $T$ ' $\text{K}$ does ' $6R$ ' of work adiabatically. If the ratio of specific heats of this gas at constant pressure and at constant volume is $5/3$, the final temperature of gas will be $\left(R = 8.31\text{ J mole}^{-1}\text{ K}^{-1}\right)$

Railway track is made of steel segments separated by small gaps to allow for linear expansion. The segment of track is 10 m long when laid at temperature $17^\circ\text{C}$. The maximum temperature that can be reached is $45^\circ\text{C}$. Increase in length of the segment of railway track is ' $x$ ' $\times 10^{-5}\text{ m}$. The value of ' $x$ ' is $(\alpha$steel $= 1.2 \times 10^{-5}/^\circ\text{C})$

A wire under tension 225 N produces 6 beats per second when it is tuned with a fork. When the tension changes to 256 N, it is again tuned with the same tuning fork, the number of beats remain unchanged. The frequency of tuning fork will be

An air column in a closed organ pipe vibrating in unison with a fork, produces second overtone. The vibrating air column has

Two simple harmonic progressive waves have displacements $y_1 = a_1\sin\left(\frac{2\pi x}{\lambda} - \omega t\right)$ and $y_2 = a_2\cos\left(\frac{2\pi x}{\lambda} - \omega t + \phi\right)$ What is the phase difference between two waves?

Velocity of sound waves in air is $330\text{ m/s}$. For a particular sound wave in air, path difference of 40 cm is equivalent to phase difference of $1.6\pi$. The frequency of this wave is

In a Young's double slit experiment, the source is white light. One of the holes is covered by a red filter and another by a blue filter. In this case

The intensity of light coming from one of the slits in Young's double slit experiment is double the intensity from the other slit. The ratio of the maximum intensity to the minimum intensity in the interference fringe pattern observed is