MHT CET 2020 16th October Evening Shift

A step-up transformer has 300 turns of primary winding and 450 turns of secondary winding. A primary is connected to 150 V and the current flowing through it is 9A. The current and voltage in the secondary are

The ratio of energies of photons produced due to transition of electron of hydrogen atom from its (i) second to first energy level and (ii) highest energy level to second level is respectively

A radioactive nucleus emits \(4 \alpha\)-particles and \(7 \beta\)-particles in succession. The ratio of number of neutrons of that of protons, is [\(A=\) mass number, \(Z=\) atomic number]

Five capacitors each of capacity \(C\) are connected as shown in figure. If their resultant capacity is \(2 \mu \mathrm{F}\), then the capacity of each condenser is

A batsman hits a ball of mass 0.2 kg straight towards the bowler without changing its initial speed of \(6 \mathrm{~m} / \mathrm{s}\). What is the impulse imparted to the ball?

A particle starting from rest moves along the circumference of a circle of radius \(r\) with angular acceleration \(\alpha\). The magnitude of the average velocity, in the time it completes the small angular displacement \(\theta\) is

A particle of mass \(m\) is performing UCM along a circle of radius \(r\). The relation between centripetal acceleration \(a\) and kinetic energy \(E\) is given by

In communication system, a repeater is used to extend the range to transmission. It is the combination of

In conversion of moving coil galvanometer into an ammeter of required range, the resistance of ammeter, so formed is
[\(S=\) shunt and \(G=\) resistance of galvanometer]

Which of the following instruments is not a direct reading instrument?

A circular coil of radius \(R\) has a resistance of \(40 \Omega\). Figure shows two points \(P\) and \(Q\) on the circumference separated by a distance \(\frac{\pi R}{2}\) which are connected to a 16 V battery with internal resistance of $$...

The light of wavelength \(\lambda\) incident on the surface of metal having work function \(\phi\) emits the electrons. The maximum velocity of electrons emitted is [ \(c=\) velocity of light, \(h=\) Planck's constant, \(m=\) mass of electr...

The graph of kinetic energy against the frequency \(v\) of incident light is as shown in the figure. The slope of the graph and intercept on \(X\)-axis respectively are

Two wires \(A\) and \(B\) are stretched by the same load. The radius of wire \(A\) is double the radius of wire \(B\). The stress on the wire \(B\) as compared to the stress on the wire \(A\) is

Two wires of different materials have same length \(L\) and same diameter \(d\). The second wire is connected at the end of the first wire and forms one single wire of double the length. This wire is subjected to stretching force \(F\) to p...

The length of solenoid is \(I\) whose windings are made of material of density \(D\) and resistivity \(\rho\). The winding resistance is \(R\). The inductance of solenoid is [\(m=\) mass of winding wire, \(\mu_0=\) permeability of free spac...

A spherical rubber balloon carries a charge, uniformly distributed over the surface. As the balloon is blown up and increases in size, the total electric flux coming out of the surface

A square frame of each side \(L\) is dipped in a soap solution and taken out. The force acting on the film formed is (\(T=\) surface tension of soap solution)

A large open tank containing water has two holes to its wall. A square hole of side $a$ is made at a depth \(y\) and a circular hole of radius \(r\) is made at a depth \(16 y\) from the surface of water. If equal amount of water comes out t...

The work done in blowing a soap bubble of radius \(R\) is \(W\). The work done in blowing a bubble of radius \(2 R\) of the same soap solution is

As we go from the equator of the earth to pole of the earth, the value of acceleration due to gravity

The ratio of energy required to raise a satellite of mass \(m\) to a height \(h\) above the earth's surface of that required to put it into the orbit at same height is [\(R=\) radius of the earth]

Two spherical black bodies of radius \(r_1\) and \(r_2\) with surface temperature \(T_1\) and \(T_2\) respectively, radiate same power, then \(r_1: r_2\) is

A diatomic gas undergoes adiabatic change. Its pressure \(p\) and temperature \(T\) are related as \(p \propto T^x\), where \(x\) is

A block of mass \(m\) is moving on rough horizontal surface with momentum \(p\). The coefficient of friction between the block and surface is \(\mu\). The distance covered by block before it stops is [\(g=\) acceleration due to gravity]

The magnetic susceptibility of a paramagnetic material at \(-73^{\circ} \mathrm{C}\) is 0.0075. Its value at \(-173^{\circ} \mathrm{C}\) will be

If the angle of dip at places \(A\) and \(B\) are \(30^{\circ}\) and \(45^{\circ}\) respectively, then the ratio of horizontal component of earth's magnetic field at \(A\) to that at \(B\) will be $$\left[\sin 45^{\circ}=\cos 45^{\circ}=\fr...

A thin light weight rod of diamagnetic substance such as silver is suspended in uniform external magnetic field. It will align itself with its length

An \(\alpha\)-particle of energy 10 eV is moving in a circular path in uniform magnetic field. The energy of proton moving in the same path and same magnetic field will be [mass of \(\alpha\)-particle \(=4\) times mass of proton]

A circular coil of radius \(R\) is carrying a current \(I_1\) in anti-clockwise sense. A long straight wire is carrying current \(I_2\) in the negative direction of \(X\)-axis. Both are placed in the same plane and the distance between cent...

Refractive index of the medium is \(\mu\) and wavelength is \(\lambda\), then which of the following proportionality relation is correct?

There are four convex lenses \(L_1, L_2, L_3\) and \(L_4\) of focal length \(2,4,6\) and 8 cm, respectively. Two of these lenses from a telescope of length 10 cm and magnifying power 4. The objective and eye lenses are respectively

A ray of light travelling through glass of refractive index \(\sqrt{2}\) is incident on glass-air boundary at an angle of incidence \(45^{\circ}\). If refractive index of air is 1 , then the angle of refraction will be $$\left[\sin 45^{\cir...

The ratio of radii of gyration of a ring to a disc (both circular) of same radii and mass, about a tangential axis perpendicular to the plane is

A body slides down a smooth inclined plane having angle \(\theta\) and reaches the bottom with velocity \(v\). If a body is a sphere, then its linear velocity at the bottom of the plane is

A thin uniform rod has mass \(M\) and length \(L\) The moment of inertia about an axis perpendicular to it and passing through the point at a distance \(\frac{L}{3}\) from one of its ends, will be

At absolute zero temperature, pure silicon behaves as

\(A\) transistor has a voltage gain \(A\). If the amount \(\beta A\) of its output is applied to the input of the transistor, then the transistor becomes oscillator, when

A particle performs simple harmonic motion with period of 3 s . The time taken by it to cover a distance equal to half the amplitude from mean position is [\(\sin 30^{\circ}=0.5\)]

The damping force of an oscillator is directly proportional to the velocity. The unit of constant of proportionality is

A block of mass \(m\) attached to one end of the vertical spring produces extension \(x\). If the block is pulled and released, the periodic time of oscillation is

A simple pendulum of length \(I\) has a bob of mass \(m\). It executes SHM of small amplitude A. The maximum tension in the string is (\(g=\) acceleration due to gravity)

The resultant of two vector \(\mathbf{A}\) and \(\mathbf{B}\) is \(\mathbf{C}\). If the magnitude of \(\mathbf{B}\) is doubled, the new resultant vector becomes perpendicular to A. Then, the magnitude of \(\mathbf{C}\) is

The \(x, y\) components of vector \(\mathbf{P}\) have magnitudes 1 and 3 and \(x, y\) components of resultant of \(\mathbf{P}\) and \(\mathbf{Q}\) have magnitudes 5 and 6, respectively. What is the magnitude of \(\mathbf{Q}\) ?

When wavelength of light used in optical instruments A and B are 4500\(\mathop A\limits^o\) and 6000\(\mathop A\limits^o\) respectively, the ratio of resolving power of A to B will be

A light wave of wavelength \(\lambda\) is incident on a slit of width \(d\). The resulting diffraction pattern is observed on a screen at a distance \(D\). If linear width of the principal maxima is equal to the width of the slit, then the ...

A sonometer wire under suitable tension having specific gravity \(\rho\), vibrates with frequency \(n\) in air. If the load is completely immersed in water the frequency of vibration of wire will become

When tension \(T\) is applied to a sonometer wire of length \(I\), it vibrates with the fundamental frequency \(n\). Keeping the experimental setup same, when the tension is increased by 8 N, the fundamental frequency becomes three times th...

An obstacle is moving towards the source with velocity \(v\). The sound is reflected from the obstacle. If \(c\) is the speed of sound and \(\lambda\) is the wavelength, then the wavelength of the reflected wave \(\lambda_r\) is

An open organ pipe and a closed organ pipe have the frequency of their first overtone identical. The ratio of length of open pipe to that of closed pipe is