MHT CET 2019 Physics Paper: 3 May, Shift 1

A 220 V input is supplied to a transformer. The output circuit draws a current of 2.0 A at 440 V. If the ratio of output to input power is 0.8, then the current drawn by primary winding is

A coil has inductance 2 H. The ratio of its reactance, when it is connected first to an $AC$ source and then to DC source, is

If the speed of an electron of hydrogen atom in the ground state is $2.2 \times 10^{6}\text{ m/s}$, then its speed in the third excited state will be

In hydrogen emission spectrum, for any series, the principal quantum number is $n$. Corresponding maximum wavelength $\lambda$ is ( $R =$ Rydberg's constant)

A body of mass $m$ is performing a UCM in a circle of radius $r$ with speed $v$. The work done by the centripetal force in moving it through $\left(\frac{2}{3}\right)\text{rd}$ of the circular path is

A mass is whirled in a circular path with constant angular velocity and its linear velocity is $v$. If the string is now halved keeping the angular momentum same, the linear velocity is

A potentiometer wire has length $L$ For given cell of emf $E$, the balancing length is $\frac{L}{3}$ from the positive end of the wire. If the length of potentiometer wire is increased by $50\%$, then for the same cell, the balance point is obtained at length

In the network shown cell E has internal resistance $r$ and the galvanometer shows zero deflection. If the cell is replaced by a new cell of emf $2E$ and internal resistance $3r$ keeping everything else identical, then

When certain metal surface is illuminated with a light of wavelength $\lambda$, the stopping potential is $V$, When the same surface is illuminated by light of wavelength $2\lambda$, the stopping potential is $\left(\frac{V}{3}\right)$. The threshold wavelength for the surface is

The stopping potential of the photoelectrons, from a photo cell is

In case of dimensions of electric field and electric dipole moment the power of mass is respectively,

Which of the following is the dimensional formula for electric polarisation?

A charged conductor produces an electric field of intensity $10^{3}\text{ V/m}$ just outside its surface in vacuum. Then, it produces the electric field of intensity E just outside its surface, when it is placed in a medium of dielectric constant 4. The value of $E$ will be

When a large bubble rises from bottom of a water lake to its surface, then its radius doubles. If the atmospheric pressure is equal to the pressure of height $H$ of a certain water column, then the depth of lake will be

A hole is drilled half way to the centre of the earth. A body weighs 300 N on the surface of the earth. How much will, it weigh at the bottom of the hole?

Consider a particle of mass $m$ suspended by a string at the equator. Let $R$ and $M$ denote radius and mass of the earth. If $\omega$ is the angular velocity of rotation of the earth about its own axis, then the tension on the string will be $(\cos 0^\circ$ $= 1)$

The SI unit and dimensions of Stefan's constant $\sigma$ in case of Stefan's law of radiation is

The rms speed of oxygen molecule in a gas is $u$, If the temperature is doubled and the molecules dissociates into two atoms, the rms speed will be

A block of mass $M$ is pulled along a smooth horizontal surface with a rope of mass $m$ by force $F$. The acceleration of the block will be

A magnetizing field of $5000\text{ A/m}$ produces a magnetic flux of $4 \times 10^{-5}\text{ Wb}$ in an iron rod of cross- sectional area $0.4\text{ cm}^2$. The permeabilit of the rod in Wb/A-m, is

For homogeneous isotropic material, which one of the following cannot be the value of Poisson's ratio?

A wire of length $L$ and radius $r$ is rigidly fixed at one end. On stretching the other end of the wire with a force $F$, the increase in length is $l$. If another wire of the same material but double the length and radius is stretched with a force $2F$, then increase in length is

Six very long insulated copper wires are bound together to form a cable. The currents carried by the wires are $I_1 = +10\text{ A}, I_2 = -13\text{ A}, I_3 = +10\text{ A}, I_4 = +7\text{ A}, I_5 = -12\text{ A}$ and $I_6 = +18\text{ A}$. The magnetic induction at a perpendicular distance of 10 cm from the cable is

$\left(\mu_0 = 4\pi \times 10^{-7}\text{ Wb/A-m}\right)$

In a hydrogen atom, an electron of charge $e$ revolves in a orbit of radius $r$ with speed $v$. Then, magnetic moment associated with electron is

A circular coil and a square coil is prepared from two identical metal wires and a current is passed through it. Ratio of magnetic dipole moment associated with circular coil to that of square coil is

Figure show the circular coil carrying current $I$ kept very close but not touching at a point $A$ on a straight conductor carrying the same current $I$. The magnitude of magnetic induction at the centre of the circular coil will be

Maximum kinetic energy gained by the charged particle in the cyclotron is independent of

In damped SHM, the SI unit of damping constant is

The total energy of a simple harmonic oscillaior is proportional to

A person measures a time period of a simple pendulum inside a stationary lift and finds it to be $T$. If the lift starts accelerating upwards with an acceleration $\left(\frac{g}{3}\right)$, the time period of the pendulum will be

The magnifying power of a telescope is nine. When it is adjusted for parallel rays, the distance between the objective and eyepiece is 20 cm. The focal length of objective and eyepiece are respectively

The refractive index of the material of crystal is 1.68 and that of castor oil is 1.2. When a ray of light passes from oil to glass, its velocity will change by a factor

Glass has refractive index $\mu$ with respect to air and the critical angle for a ray of light going from glass to air is $\theta$. If a ray of light is incident from air on the glass with angle of incidence $\theta$, corresponding angle of refraction is

A solid sphere rolls down from top of inclined plane, 7 m high, without slipping. Its linear speed at the foot of plane is $\left(g = 10\text{ m/s}^{2}\right)$

A rod $l\text{ m}$ long is acted upon by a couple as shown in the figure. The moment of couple is $\tau\text{ N m}$. If the force acts at each end of the rod, then magnitude of each force is

$(\sin 30^\circ = \cos 60^\circ = 0.5)$

Which of the following regions of a transistors are, respectively, heavily dopped and lightly dopped?

$V - I$ characterstics of LED is shown correctly by graph

A molecule of water on the surface experiences a net

$\left[\mathrm{L^{2}M^{1}T^{-2}}\right]$ are the dimensions of

The vectors $(\mathbf{A} + \mathbf{B})$ and $(\mathbf{A} - \mathbf{B})$ are at right angles to each other. This is possible under the condition

A vector $P$ has $X$ and $Y$ components of magnitude 2 units and 4 units respectively. A vector $Q$ along negative $X$-axis has magnitude 6 units. The vector $(\mathbf{Q} - \mathbf{P})$ will be

Eight identical drops of water falling through air with uniform velocity of $10\text{ cm/s}$ combine to form a single drop of big size, then terminal velocity of the big drop will be

For formation of beats, two sound notes must have

A pipe open at both ends and a pipe closed at one end have same length. The ratio of frequencies of their $p$th overtone is

The fundamental frequency of sonometer wire increases by 9 Hz, if its tension is increased by $69\%$, keeping the length constant. The frequency of the wire is

A sonometer wire is in unison with a tuning fork, when it is stretched by weight $w$ and the corresponding resonating length is $L_1$. If the weight is reduced to $\left(\frac{w}{4}\right)$, the corresponding resonating length becomes $L_2$. The ratio $\left(\frac{L_1}{L_2}\right)$ is

The phenomenon of interference is based on

In Young's double slit experiment fifth dark fringe is formed opposite to one of the slits. D is the distance between the slits and the screen and $d$ is the separation between the slits, then the wavelength of light used is