MHT CET 2019 Physics Paper: 2 May, Shift 1

In a series $LCR$ circuit $R = 300\ \Omega,\ L = 0.9\text{ H},\ C = 2\ \mu\text{F},\ \omega = 1000\text{ rad/s}$. The impedance of the circuit is

The angle made by orbital angular momentum of electron with the direction of the orbital magnetic moment is

Bohr model is applied to a particle of mass ' $m$ ' and charge ' $q$ ' is moving in a plane under the influence of a transverse magnetic field ' $B$ '. The energy of the charged particle in the $n$th level will be ( $h =$ Planck's constant)

The wavelength of the first line in Balmer series in the hydrogen spectrum is ' $\lambda$ '. What is the wavelength of the second line in the same series?

Which of the following combinations of 7 identical capacitors each of $2\ \mu\text{F}$ gives a resultant capacitance of $10/11\ \mu\text{F}$?

The real force ' $F$ ' acting on a particle of mass $m$ ' performing circular motion acts along the radius of circle ' $r$ ' and is directed towards the centre of circle. The square root of magnitude of such force is ( $T =$ periodic time)

A stone of mass 1 kg is tied to a string 2 m long and it's rotated at constant speed of $40\text{ m s}^{-1}$ in a vertical circle. The ratio of the tension at the top and the bottom is [Take $g = 10\text{ m s}^{-2}$ ]

A galvanometer has resistance of $100\ \Omega$ and a current of 10 mA produces full scale deflection in it. The resistance to be connected in series, to get a voltmeter of range 50 volt is

In moving coil galvanometer, strong horse shoe magnet of concave shaped pole pieces is used to

The current in 1 $\Omega$ resistor in the following circuit is

For a metallic wire, the ratio of voltage to corresponding current is

The maximum velocity of the photoelectron emitted by the metal surface is ' $v$ '. Charge and mass of the photoelectron is denoted by ' $e$ ' and ' $m$ ' respectively. The stopping potential in volt is

When photons of energy $h\nu$ fall on a metal plate of work function ' $W_0$ ', photoelectrons of maximum kinetic energy ' $K$ ' are ejected. If the frequency of the radiation is doubled, the maximum kinetic energy of the ejected photoelectrons will be

Two coils have a mutual inductance of 0.01 H. The current in the first coil changes according to equation, $I = 5\sin 200\pi t$. The maximum value of emf induced in the second coil is

A body is projected vertically from the surface of the earth of radius ' $R$ ' with velocity equal to half of the escape velocity. The maximum height reached by the body is

If $W_1, W_2$ and $W_3$ represent the work done in moving a particle from $A$ to $B$ along three different paths 1,2 and 3 (as shown in fig) in the gravitational field of the point mass ' $m$ '. Find the correct relation between ' $W_1$ ', ' $W_2$ ' and ' $W_3$ '

The radius of the earth and the radius of orbit around the sun are 6371 km and $149 \times 10^{6}\text{ km}$ respectively. The order of magnitude of the diameter of the orbit is greater than that of earth by

The kinetic energy of a revolving satellite (mass $m$) at a height equal to thrice the radius of the earth $(R)$ is

Two identical wires of substances ' $P$ ' and ' $Q$ ' are subjected to equal stretching force along the length. If the elongation of ' $Q$ ' is more than that of ' $P$ ', then

Work done in stretching a wire through 1 mm is 2 J. What amount of work will be done for elongating another wire of same material, with half the length and double the radius of cross section, by 1 mm?

The magnitude of the magnetic induction at a point on the axis at a large distance ( $r$) from the centre of a circular coil of ' $n$ ' turns and area ' $A$ ' carrying current ( $I$) is given by

Two parallel conductors carrying unequal currents in the same direction ............

The quantity which does not vary periodically for a particle performing SHM is

A particle executes the simple harmonic motion with an amplitude ' $A$ '. The distance travelled by it in one periodic time is

The equi-convex lens has a focal length ' $f$ '. If the lens is cut along the line perpendicular to the principal axis and passing through the pole, what will be the focal length of any half part?

A telescope has large diameter of the objective. Then its resolving power is

A thin hollow prism of refracting angle $3^\circ$, filled with water gives a deviation of $1^\circ$. The refractive index of water is

A uniform rod of length ' 6 L ' and mass ' 8 m ' is pivoted at its centre ' $C$ '. Two masses ' $m$ ' and ' $2m$ with speed $2v, v$ as shown strikes the rod and stick to the rod. Initially the rod is at rest. Due to impact, if it rotates with angular velocity ' $\omega$ ' then ' $\omega$ ' will be

If radius of the solid sphere is doubled by keeping its mass constant, the ratio of their moment of inertia about any of its diameter is

A thin metal wire of length 'L' and uniform linear mass density '$\rho$' is bent into a circular coil with 'O' as centre. the moment of inertia of a coil about the axis XX' is

The dimensions of torque are same as that of

. For a transistor, the current ratio ' $\beta_{dc}$ ' is defined as the ratio of

Assuming that the junction diode is ideal, the current in the arrangement shown in figure is

Two capillary tubes of different diameters are dipped in water. The rise of water is

In air, a charged soap bubble of radius ' $R$ ' breaks into 27 small soap bubbles of equal radius ' $r$ '. Then the ratio of mechanical force acting per unit area of big soap bubble to that of a small soap bubble is

Two small drops of mercury each of radius ' $R$ ' coalesce to form a large single drop. The ratio of the total surface energies before and after the change is

If $\alpha$ is the coefficient of performance of a refrigerator and ' $Q$ ' is heat released to the hot reservoir, then the heat extracted from the cold reservoir ' $Q_2$ ' is

If ' $C_P$ ' and ' $C_V$ ' are molar specific heats of an ideal gas at constant pressure and volume respectively. If ' $\gamma$ ' is the ratio of two specific heats and ' $R$ ' is universal gas constant then ' $C_p$ ' is equal to

A clock pendulum having coefficient of linear expansion. $\alpha = 9 \times 10^{-7}/{}^{\circ}\text{C}^{-1}$ has a period of 0.5 s at $20^{\circ}\text{C}$. If the clock is used in a climate, where the temperature is $30^{\circ}\text{C}$, how much time does the clock lose in each oscillation? ( $g =$ constant)

Dimensions of Gyromagnetic ratio are

The resultant $\mathbf{R}$ of $\mathbf{P}$ and $\mathbf{Q}$ is perpendicular to $\mathbf{P}$. Also $|\mathbf{P}| = |\mathbf{R}|$. The angle between $\mathbf{P}$ and $\mathbf{Q}$ is $\left[\tan 45^\circ = 1\right]$

If $\sqrt{A^2 + B^2}$ represents the magnitude of resultant of two vectors $(\mathbf{A} + \mathbf{B})$ and $(\mathbf{A} - \mathbf{B})$, then the angle between two vectors is

A metal sphere of radius ' $R$ ' and density ' $\rho_1$ ' is dropped in a liquid of density ' $\sigma$ ' moves with terminal velocity ' $v$ '. Another metal sphere of same radius and density ' $\rho_2$ ' is dropped in the same liquid, its terminal velocity will be

In a fundamental mode,the time required for the sound wave to reach upto the closed end of a pipe filled with air is ' $t$ ' second. The frequency of vibration of air column is

Two open pipes of different lengths and same diameter in which the air column vibrates with fundamental frequencies ' $n_1$ ', and ' $n_2$ ' respectively. When both pipes are joined to form a single pipe, its fundamental frequency will be

The equation of simple harmonic progressive wave is given by $Y = a\sin 2\pi(bt - cx)$. The maximum particle velocity will be twice the wave velocity if

A transverse wave is propagating on the string. The linear density of a vibrating string is $10^{-3}\text{ kg/m}$. The equation of the wave is $Y = 0.05\sin(x + 15t)$ where $x$ and $Y$ are measured in metre and time in second. The tension force in the string is

In biprism experiment, the distance between source and eyepiece is 1.2 m, the distance between two virtual sources is 0.84 mm. Then the wavelength of light used if eyepiece is to be moved transversely through a distance of 2.799 cm to shift 30 fringes is

If a star emitting yellow light is accelerated towards earth, then to an observer on earth it will appear