MHT CET 2019 Physics Paper: 2 May, Shift 2

An alternating voltage is given by $E = 100 \sin\left(\omega t + \frac{\pi}{6}\right)\text{ V}$. The voltage will be maximum for the first time when is [ $T =$ periodic time)

When the electron in hydrogen atom jumps from fourth Bohr orbit to second Bohr orbit, one gets the

In Balmer series, wavelength of first line is ' $\lambda_1$ ' and in Brackett series wavelength of first line is ' $\lambda_2$ ' then $\frac{\lambda_1}{\lambda_2}$ is

In a parallel plate air capacitor the distance between plates is reduced to one fourth and the space between them is filled with a dielectric medium of constant 2. If the initial capacity of the capacitor is $4\ \mu\text{F}$. then its new capacity is

In U.C.M., when time interval $\delta t \to 0$, the angle between change in velocity ( $\delta \vec{v}$) and linear velocity $(\vec{v})$ will be

A particle is performing U.C.M. along the circumference of a circle of diameter 50 cm with frequency 2 Hz. The acceleration of the particle in $\text{m/s}^2$ is

The range of an ammeter of resistance ' $G$ can be increased from ' $I$ ' to ' $nI$ ' by connecting

In the given electrical circuit, which one of the following equations is a correct equation?

With a resistance of ' $X$ ' in the left gap and resistance of $9\ \Omega$ in the right gap of a meter bridge, the balance point is obtained at 40 cm from the left end. In what way and to which resistance $3\ \Omega$ resistance be connected to obtain the balance at 50 cm from the left end?

A metal surface is illuminated by light of given intensity and frequency to cause photoemission. If the intensity of illumination is reduced to one fourth of its original value then the maximum KE of the emitted photoelectrons would be

Which of the following molecules is a polar molecule?

Two light balls are suspended as shown in figure. When a stream of air passes through the space between them, the distance between the balls will

What is the minimum energy required to launch a satellite of mass ' $m$ ' from the surface of the earth of mass ' $M$ ' and radius ' $R$ ' at an altitude $2R$?

The maximum wavelength of radiation emitted by a star is 289.8 nm. Then intensity of radiation for the star is (Given: Stefan's constant $= 5.67 \times 10^{-8}\text{ W m}^{-2}\text{ K}^{-4}$, Wien's constant, $b = 2898\,\mu\text{m K}$)

An aircraft is moving with uniform velocity $150\text{ m/s}$ in the space. If all the forces acting on it are balanced, then it will

Magnetic susceptibility of a paramagnetic substance is

The magnetization of bar magnet of length 5 cm, cross sectional area $2\text{ cm}^2$ and net magnetic moment $1\text{ Am}^2$ is

A wire of length ' $L$ ' and area of cross section ' $A$ ' is made of material of Young's modulus ' $Y$. It is stretched by an amount ' $x$ '. The work done in stretching the wire is

A lift is tied with thick iron ropes having mass ' $M$ '. The maximum acceleration of the lift is ' $a$ ' $\text{m/s}^2$ and maximum safe stress is ' S ' $\text{N/m}^2$. The minimum diameter of the rope is

A circular coil of wire consisting of 100 turns each of radius 9 cm carries a current of 0.4 A. The magnitude of the magnetic field at the centre of coil is $[\mu_0 = 12.56 \times 10^{-7}\text{ SI}$ Unit]

Torque acting on a rectangular coil carrying current ' $i$ ' situated parallel to magnetic field of induction ' $B$ ', having number of turns ' $n$ ' and area ' $A$ ' is

The magnetic dipole moment of a short magnetic dipole at a distant point along the equator of magnet has a magnitude of ' $X$ ' in SI units. If the distance between the point and the magnet is halved then the magnitude of dipole moment will be

Two pendulums begin to swing simultaneously. The first pendulum makes nine full oscillations when the other makes seven. The ratio of the lengths of the two pendulums is

A particle is performing a linear simple harmonic motion of amplitude ' $A$ '. When it is midway between its mean and extreme position, the magnitudes of its velocity and acceleration are equal. What is the periodic time of the motion?

If ' $x$ ', $v$ ' and ' $a$ ' denote the displacement, velocity and acceleration of a particle respectively executing SHM of periodic time $T$ then which one of the following does not change with time?

A convex lens of focal length ' $f$ ' is placed in contact with a concave lens of the same focal length. The equivalent focal length of the combination is

When light enters glass from vacuum, then the wavelength of light

The critical angle for light going from medium ' $x'$ to medium ' $y$ ' is ' $\theta$ '. The speed of light in medium ' $x$ ' is ' $v_x$ '. The speed of light in medium ' $y$ ' is

Three point masses each of mass ' $m$ ' are kept at the corners of an equilateral triangle of side ' $L$ '. The system rotates about the center of the triangle without any change in the separation of masses during rotation. The period of rotation is directly proportional to $\left(\cos 30^\circ = \sin 60^\circ = \frac{\sqrt{3}}{2}\right)$

Three identical rods each of mass ' $M$ ' and length ' $L$ ' are joined to form a symbol ' $H$. The moment of inertia of the system about one of the sides of ' $H$ ' is

A rigid body is rotating with angular velocity ' $\omega$ ' about an axis of rotation. Let $v$ ' be the linear velocity of particle which is at perpendicular distance ' $r$ ' from the axis of rotation. Then the relation $v = r\omega$ ' implies that

When a 12000 joule of work is done on a flywheel, its frequency of rotation increases from 10 Hz to 20 Hz. The moment of inertia of flywheel about its axis of rotation is $(\pi^2 = 10)$

In the study of transistor as an amplifier, the ratio of collector current to emitter current is 0.98 then the ratio of collector current to base current will be

In case of $p$-n junction diode, the width of depletion region is

The excess of pressure, due to surface tension, on a spherical liquid drop of radius ' $R$ ' is proportional to

Which one of the following statement is correct?

The equation of state for 2 g of oxygen at a pressure ' $P$ ' and temperature ' $T$, when occupying a volume ' $V$ ' will be

The force ' $F$ ' acting on a body of density ' $d$ ' are related by the relation $F = \frac{y}{\sqrt{d}}$. The dimensions of ' $y$ ' are

The dimensions of self or mutual inductance are given as

The ratio of the dimensions of Planck's constant to that of moment of inertia is the dimensions of

$\mathbf{P}$ and $\mathbf{Q}$ are two non-zero vectors inclined to each other at an angle ' $\theta$ '. ' $p$ ' and ' $q$ ' are unit vectors along $\mathbf{P}$ and $\mathbf{Q}$ respectively. The component of $\mathbf{Q}$ in the direction of $\mathbf{P}$ will be

A simple harmonic progressive wave is represented as $y = 0.03\sin\pi(2t - 0.01x)\text{m}$. At a given instant of time, the phase difference between two particles 25 m apart is

Find the wrong statement from the following about the equation of stationary wave given by $Y = 0.04\cos(\pi x)\sin(50\pi t)\text{ m}$ where $t$ is in second. Then for the stationary wave.

A stretched string fixed at both ends has ' $m$ ' nodes, then the length of the string will be

A stretched wire of length 260 cm is set into vibrations. It is divided into three segments whose frequencies are in the ratio $2:3:4$. Their lengths must be

The luminous border that surrounds the profile of a mountain just before sun rises behind it, is an example of

Light of wavelength ' $\lambda$ ' is incident on a single slit of width ' $a$ ' and the distance between slit and screen is ' $D$ '. In diffraction pattern, if slit width is equal to the width of the central maximum then ' $D$ ' is equal to

A force $(F) = -5\hat{\mathbf{i}} - 7\hat{\mathbf{j}} + 3\hat{\mathbf{k}}$ acting on a particle causes a displacement $(s) = 3\hat{\mathbf{i}} - 2\hat{\mathbf{j}} + a\hat{\mathbf{k}}$ in its own direction. If the work done is 14 J, then the value of ' $a$ ' is