MHT CET 2022 11th August Evening Shift

A capacitor of capacitance \(50 \mu \mathrm{F}\) is connected to a.c. source \(\mathrm{e}=220 \sin 50 \mathrm{t}\) (\(\mathrm{e}\) in volt, \(\mathrm{t}\) in second). The value of peak current is

The resistance offered by an inductor \(\left(X_L\right)\) in an a.c. circuit is

In a full wave rectifier circuit without filter, the output current is

A coil having an inductance of \(\frac{1}{\pi} \mathrm{H}\) is connected in series with a resistance of \(300 \Omega\). If A.C. Source \((20 \mathrm{~V}-200 \mathrm{~Hz})\) is connected across the combination, the phase angle between voltag...

Using Bohr's model, the orbital period of electron in hydrogen atom in the \(\mathrm{n}^{\text {th }}\) orbit is \(\left(\varepsilon_0=\right.\) permittivity of vacuum, \(\mathrm{h}=\) Planck's constant, \(\mathrm{m}=\) mass of electron, $$...

The wave number of the last line of the Balmer series in hydrogen spectrum will be
(Rydberg's constant \(=10^7 \mathrm{~m}^{-1}\) )

The force between the plates of a parallel plate capacitor of capacitance '\(\mathrm{C}\)' and distance of separation of the plates '\(\mathrm{d}\)' with a potential difference '\(\mathrm{V}\)' between the plates is

A parallel plate air capacitor has a uniform electric field 'E' in the space between the plates. Area of each plate is A and the distance between the plates is '\(\mathrm{d}\)'. The energy stored in the capacitor is $$\left[\varepsilon_0=\r...

A parallel plate capacitor is charged and then disconnected from the charging battery. If the plates are now moved further apart by pulling them by means of insulating handles, then

Two massless springs of spring constant \(\mathrm{K}_1\) and \(\mathrm{K}_2\) are connected one after the other forming a single chain, suspended vertically and certain mass is attached to the free end. If '\(e_1\)' and '\(e_2\)' are their ...

Two bodies of masses '\(\mathrm{m}\)' and '\(3 \mathrm{~m}\)' are rotating in horizontal speed of the body of mass '\(m\)' is \(n\) times that of the value of heavier body; while the centripetal force is same for both. The value of \(n\) is

A bucket containing water is revolved in a vertical circle of radius \(r\). To prevent the water from falling down, the minimum frequency of revolution required is (\(\mathrm{g}=\) acceleration due to gravity)

A body moving in a circular path with a constant speed has constant

In the following network, the current through galvanometer will

A galvanometer of resistance \(200 \Omega\) is to be converted into an ammeter. The value of shunt resistance which allows \(3 \%\) of the mains current through the galvanometer is equal to (nearly)

If the kinetic energy of a free electron doubles, it's de Broglie wavelength (\(\lambda\)) changes by a factor

The magnetic flux through a coil of resistance '\(R\)' changes by an amount '\(\Delta \phi\)' in time '\(\Delta \mathrm{t}\)'. The total quantity of induced electric charge '\(\mathrm{Q}\)' is

Self inductance of a solenoid cannot be increased by

A graph of magnetic flux \((\phi)\) versus current (I) is drawn for four inductors A, B, C, D. Larger value of self inductance is for inductor.

If the radius of the spherical gaussian surface is increased then the electric flux due to a point charge enclosed by the surface

Three equal charges '\(\mathrm{q}_1\)', '\(^{\prime} \mathrm{q}_2\)' and '\(\mathrm{q}_3\)' are placed on the three corners of a square of side 'a'. If the force between \(\mathrm{q}_1\) and \(\mathrm{q}_2\) is '\(\mathrm{F}_{12}\)' and tha...

The excess pressure inside a soap bubble of radius \(2 \mathrm{~cm}\) is 50 dyne/cm\(^2\). The surface tension is

The work done in blowing a soap bubble of radius \(\mathrm{R}\) is '\(\mathrm{W}_1\)' at room temperature. Now the soap solution is heated. From the heated solution another soap bubble of radius \(2 \mathrm{R}\) is blown and the work done i...

A steel coin of thickness '\(\mathrm{d}\)' and density '\(\rho\)' is floating on water of surface tension '\(T\)'. The radius of the coin \((R)\) is [\(\mathrm{g}=\) acceleration due to gravity]

A body weighs \(500 \mathrm{~N}\) on the surface of the earth. At what distance below the surface of the earth it weighs \(250 \mathrm{~N}\) ? (Radius of earth, \(\mathrm{R}=6400 \mathrm{~km}\) )

The masses and radii of the moon and the earth are \(\mathrm{M_1, R_1}\) and \(\mathrm{M_2, R_2}\) respectively. Their centres are at a distance \(\mathrm{d}\) apart. What should be the minimum speed with which a body of mass '\(m\)' should...

When the rms velocity of a gas is denoted by '\(v\)', which one of the following relations is true?
(\(\mathrm{T}=\) Absolute temperature of the gas.)

Three discs \(\mathrm{x}, \mathrm{y}\) and \(\mathrm{z}\) having radii \(2 \mathrm{~m}, 3 \mathrm{~m}\) and \(6 \mathrm{~m}\) respectively are coated on outer surfaces. The wavelength corresponding to maximum intensity are $$300 \mathrm{~nm...

A monoatomic gas \(\left(\gamma=\frac{5}{3}\right)\) initially at \(27^{\circ} \mathrm{C}\) having volume '\(\mathrm{V}\)' is suddenly compressed to one-eighth of its original volume \(\left(\frac{\mathrm{V}}{8}\right)\). After the compress...

Heat given to a body, which raises its temperature by 1ºC is known as

Two monatomic ideal gases A and B of molecular masses '\(m_1\)' and '\(m_2\)' respectively are enclosed in separate containers kept at the same temperature. The ratio of the speed of sound in gas A to that in gas B is given by

The thermodynamic process in which no work is done on or by the gas is

A door \(1.2 \mathrm{~m}\) wide requires a force of \(1 \mathrm{~N}\) to be applied perpendicular at the free end to open or close it. The perpendicular force required at a point \(0.2 \mathrm{~m}\) distant from the hinges for opening or cl...

The magnetic susceptibility of the material of a rod is 349 and permeability of vacuum \(\mu_0\) is \(4 \pi \times 10^{-7}\) SI units. Absolute permeability of the material of the rod in SI units is

A shell is fired at an angle of \(30^{\circ}\) to the horizontal with velocity \(196 \mathrm{~m} / \mathrm{s}\). The time of flight is
\(\left[\sin 30^{\circ}=\frac{1}{2}=\cos 60^{\circ}\right]\)

An electron and a proton having the same momenta enter perpendicularly into a magnetic field. What are their trajectories in the field?

Two parallel conducting wires of equal length are placed distance 'd' apart, carry currents '\(\mathrm{I}_1\)' and '\(\mathrm{I}_2\)' respectively in opposite directions. The resultant magnetic field at the midpoint of the distance between ...

The speed of light in two media \(M_1\) and \(M_2\) are \(1.5 \times 10^8\) \(\mathrm{m} / \mathrm{s}\) and \(2 \times 10^8 \mathrm{~m} / \mathrm{s}\) respectively. If the light undergoes total internal reflection, the critical angle betwee...

The minimum distance between an object and its real image formed by a convex lens of focal length 'f' is

For a NAND gate, the inputs and outputs are given below.

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The given circuit has two ideal diodes \(D_1\) and \(D_2\) connected as shown in the figure. The current flowing through the resistance \(R_1\) will be

The time taken by a particle executing simple harmonic motion of period '\(\mathrm{T}\)', to move from the mean position to half the maximum displacement is

In a medium, the phase difference between two particles separated by a distance '\(x\)' is \(\left(\frac{\pi}{5}\right)^{\text {c }}\). If the frequency of the oscillation of particles is \(25 \mathrm{~Hz}\) and the velocity of propagation ...

A particle starts oscillating simple harmonically from its mean position with time period '\(T\)'. At time \(t=\frac{T}{12}\), the ratio of the potential energy to kinetic energy of the particle is $$\left(\sin 30^{\circ}=\cos 60^{\circ}=0....

In a Fraunhofer diffraction at a single slit of width 'd' and incident light of wavelength \(5500 \mathop A\limits^o\), the first minimum is observed at an angle \(30^{\circ}\). The first secondary maxima is observed at an angle \(\theta\),...

A parallel beam of monochromatic light falls normally on a single narrow slit. The angular width of the central maximum in the resulting diffraction pattern

A stationary wave is represented by
\(\mathrm{y}=10 \sin \left(\frac{\pi \mathrm{x}}{4}\right) \cos (20 \pi \mathrm{t})\)
where \(\mathrm{x}\) and \(\mathrm{y}\) are in \(\mathrm{cm}\) and \(\mathrm{t}\) in second. The distance between two ...

Consider the following statements about stationary waves.
A. The distance between two adjacent nodes or antinodes is equal to \(\frac{\lambda}{2}(\lambda=\) wavelength of the wave)
B. A node is always formed at the open end of the open orga...

Two waves are superimposed whose ratio of intensities is \(9: 1\). The ratio of maximum and minimum intensity is

A hollow pipe of length \(0.8 \mathrm{~m}\) is closed at one end. At its open end, a \(0.5 \mathrm{~m}\) long uniform string is vibrating in its second harmonic and it resonates with the fundamental frequency of pipe. If the tension in the ...