MHT CET 2023 9th May Evening Shift

An e.m.f. \(E=4 \cos (1000 t)\) volt is applied to an LR circuit of inductance \(3 \mathrm{~mH}\) and resistance \(4 ~\Omega\). The maximum current in the circuit is

An alternating voltage of frequency '\(\omega\)' is induced in electric circuit consisting of an inductance '\(L\)' and capacitance '\(C\)', connected in parallel. Then across the inductance coil

The reactance of capacitor at \(50 \mathrm{~Hz}\) is \(5 \Omega\). If the frequency is increased to \(100 \mathrm{~Hz}\), the new reactance is

The force acting on the electron in hydrogen atom (Bohr' theory) is related to the principle quantum number '\(n\)' as

The wavelength of light for the least energetic photons emitted in the Lyman series of the hydrogen spectrum is nearly [Take \(\mathrm{hc}=1240 ~\mathrm{eV}\) - \(\mathrm{nm}\), change in energy of the levels \(=10.2 ~\mathrm{eV}\) ]

A parallel combination of two capacitors of capacities '\(2 ~\mathrm{C}\)' and '\(\mathrm{C}\)' is connected across \(5 \mathrm{~V}\) battery. When they are fully charged, the charges and energies stored in them be '\(\mathrm{Q}_1\)', '$$Q_...

Consider the following statements \(\mathrm{A}\) and \(\mathrm{B}\). Identify the correct choice in the given answers.
A. In an inelastic collision, there is no loss in kinetic energy during collision.
B. During a collision, the linear mome...

A particle of mass '\(\mathrm{m}\)' moves along a circle of radius '\(r\)' with constant tangential acceleration. If K.E. of the particle is '\(E\)' by the end of third revolution after beginning of the motion, then magnitude of tangential ...

A simple pendulum of length \(2 \mathrm{~m}\) is given a horizontal push through angular displacement of \(60^{\circ}\). If the mass of bob is 200 gram, the angular velocity of the bob will be (Take Acceleration due to gravity $$=10 \mathrm...

A particle at rest starts moving with constant angular acceleration \(4 ~\mathrm{rad} / \mathrm{s}^2\) in circular path. At what time the magnitudes of its tangential acceleration and centrifugal acceleration will be equal?

A galvanometer of resistance \(20 ~\Omega\) gives a deflection of 5 divisions when \(1 \mathrm{~mA}\) current flows through it. The galvanometer scale has 50 divisions. To convert the galvanometer into a voltmeter of range 25 volt, we shoul...

Five current carrying conductors meet at a point '\(\mathrm{O}\)' as shown in figure. The magnitude and direction of the current in conductor '\(O P\)' is

When photons of energies twice and thrice the work function of a metal are incident on the metal surface one after other, the maximum velocities of the photoelectrons emitted in the two cases are \(\mathrm{v}_1\) and \(\mathrm{v}_2\) respec...

When a certain metal surface is illuminated with light of frequency \(v\), the stopping potential for photoelectric current is \(\mathrm{V}_0\). When the same surface is illuminated by light of frequency \(\frac{v}{2}\), the stopping potent...

If current '\(I\)' is flowing in the closed circuit with collective resistance '\(R\)', the rate of production of heat energy in the loop as we pull it along with a constant speed '\(\mathrm{V}\)' is ( \(\mathrm{L}=\) length of conductor, $...

Two coils \(\mathrm{A}\) and \(\mathrm{B}\) have mutual inductance 0.008 \(\mathrm{H}\). The current changes in the coil A, according to the equation \(\mathrm{I}=\mathrm{I}_{\mathrm{m}} \sin \omega \mathrm{t}\), where $$\mathrm{I}_{\mathrm...

The mutual inductance (M) of the two coils is \(3 ~\mathrm{H}\). The self inductances of the coils are \(4 ~\mathrm{H}\) and \(9 ~\mathrm{H}\) respectively. The coefficient of coupling between the coils is

A charge '\(q\)' moves with velocity '\(v\)' through electric (E) as well as magnetic field (B). Then the force acting on it is

When a charge of \(3 ~\mathrm{C}\) is placed in uniform electric field, it experiences a force of \(3000 \mathrm{~N}\). Within this field, potential difference between two points separated by a distance of \(1 \mathrm{~cm}\) is

The charges \(2 \mathrm{q},-\mathrm{q},-\mathrm{q}\) are located at the vertices of an equilateral triangle. At the circumcentre of the triangle

A film of soap solution is formed between two straight parallel wires of length \(10 \mathrm{~cm}\) each separated by \(0.5 \mathrm{~cm}\). If their separation is increased by \(1 \mathrm{~mm}\) while still maintaining their parallelism. Ho...

A soap bubble of radius '\(R\)' is blown. After heating a solution, a second bubble of radius '\(2 \mathrm{R}\)' is blown. The work required to blow the \(2^{\text {nd }}\) bubble in comparison to that required for the \(1^{\text {st }}\) b...

A fluid of density '\(\rho\)' and viscosity '\(\eta\)' is flowing through a pipe of diameter '\(d\)', with a velocity '\(v\)'. Reynold number is

Periodic time of a satellite revolving above the earth's surface at a height equal to radius of the earth '\(R\)' is [ \(g=\) acceleration due to gravity]

Consider a planet whose density is same as that of the earth but whose radius is three times the radius '\(R\)' of the earth. The acceleration due to gravity '\(\mathrm{g}_{\mathrm{n}}\)' on the surface of planet is $$\mathrm{g}_{\mathrm{n}...

An ideal gas in a container of volume 500 c.c. 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 contain...

A gas at N.T.P. is suddenly compressed to onefourth of its original volume. If \(\gamma=1.5\), then the final pressure is

A gas is compressed at a constant pressure of \(50 \mathrm{~N} / \mathrm{m}^2\) from a volume of \(10 \mathrm{~m}^3\) to a volume of \(4 \mathrm{~m}^3\). Energy of \(100 \mathrm{~J}\) is then added to the gas by heating. Its internal energy...

The pressure exerted by an ideal gas at a particular temperature is directly proportional to

The side of a copper cube is \(1 \mathrm{~m}\) at \(0^{\circ} \mathrm{C}\). What will be the change in its volume, when it is heated to \(100^{\circ} \mathrm{C}\) ? $$\left[\alpha_{\text {copper }}=18 \times 10^{-6} /{ }^{\circ} \mathrm{C}\...

The temperature of an ideal gas is increased from \(27^{\circ} \mathrm{C}\) to \(927^{\circ} \mathrm{C}\). The r.m.s. speed of its molecules becomes

A thin rod of length \(L\) has magnetic moment \(M\) when magnetised. If rod is bent in a semicircular arc what is magnetic moment in new shape?

10 A current is flowing in two straight parallel wires in the same direction. Force of attraction between them is \(1 \times 10^{-3} \mathrm{~N}\). If the current is doubled in both the wires the force will be

The magnetic field at a point \(\mathrm{P}\) situated at perpendicular distance '\(R\)' from a long straight wire carrying a current of \(12 \mathrm{~A}\) is \(3 \times 10^{-5} \mathrm{~Wb} / \mathrm{m}^2\). The value of '\(\mathrm{R}\)' in...

If a ray of light in denser medium strikes a rarer medium at angle of incidence \(i\), the angles of reflection and refraction are \(r\) and \(r^{\prime}\) respectively. If the reflected and refracted rays are at right angles to each other,...

A transparent glass cube of length \(24 \mathrm{~cm}\) has a small air bubble trapped inside. When seen normally through one surface from air outside, its apparent distance is \(10 \mathrm{~cm}\) from the surface. When seen normally from op...

A disc of radius \(R\) and thickness \(\frac{R}{6}\) has moment of inertia I about an axis passing through its centre and perpendicular to its plane. Dise is melted and recast into a solid sphere. The moment of inertia of a sphere about its...

In the reverse biasing of a p-n junction diode :

In a transistor, in common emitter configuration, the ratio of power gain to voltage gain is

If the frequency of the input voltage is \(50 \mathrm{~Hz}\), applied to a (a) half wave rectifier and (b) full wave rectifier. The output frequency in both cases is respectively

Two S.H.Ms. are represented by equations \(\mathrm{y}_1=0.1 \sin \left(100 \pi \mathrm{t}+\frac{\pi}{3}\right)\) and \(\mathrm{y}_2=0.1 \cos (100 \pi \mathrm{t})\) The phase difference between the speeds of the two particles is

A spring has a certain mass suspended from it and its period for vertical oscillations is '\(T_1\)'. The spring is now cut in to two equal halves and the same mass is suspended from one of the halves. The period of vertical oscillations is ...

A particle is vibrating in S.H.M. with an amplitude of \(4 \mathrm{~cm}\). At what displacement from the equilibrium position is its energy half potential and half kinetic?

Light of wavelength ',\(\lambda\)' is incident on a slit of width '\(\mathrm{d}\)'. The resulting diffraction pattern is observed on a screen at a distance '\(D\)'. The linear width of the principal maximum is then equal to the width of the...

In Young's double slit experiment, the wavelength of light used is '\(\lambda\)'. The intensity at a point is '\(\mathrm{I}\)' where path difference is \(\left(\frac{\lambda}{4}\right)\). If \(I_0\) denotes the maximum intensity, then the r...

In Young's double slit experiment, the fringe width is \(2 \mathrm{~mm}\). The separation between the \(13^{\text {th }}\) bright fringe and the \(4^{\text {th }}\) dark fringe from the centre of the screen on same side will be

The equation of simple harmonic progressive wave is given by \(y=a \sin 2 \pi(b t-c x)\). The maximum particle velocity will be half the wave velocity, if \(\mathrm{c}=\)

Stationary waves can be produced in

If the length of an open organ pipe is \(33.3 \mathrm{~cm}\), then the frequency of fifth overtone is [Neglect end correction, velocity of sound \(=333 \mathrm{~m} / \mathrm{s}\) ]

If the end correction of an open pipe is \(0.8 \mathrm{~cm}\), then the inner radius of that pipe is