MHT CET 2021 23rd September Evening Shift

A series L-C-R circuit containing a resistance of \(120 ~\Omega\) has angular frequency \(4 \times 10^5 \mathrm{~rad} \mathrm{~s}^{-1}\). At resonance the voltage across resistance and inductor are \(60 \mathrm{~V}\) and \(40 \mathrm{~V}\) ...

A circuit containing resistance R\(_1\), inductance L\(_1\) and capacitance C\(_1\) connected in series resonates at the same frequency 'f\(_0\)' as another circuit containing R\(_2\), L\(_2\) and C\(_2\) in series. If two circuits are conn...

Energy of electron in the second orbit of hydrogen atom is \(\mathrm{E}\). The energy of electron '\(\mathrm{E}_3\)' in the third orbit of helium \((\mathrm{He})\) atom will be

If the potential difference across a capacitor is increased from \(5 \mathrm{~V}\) to \(15 \mathrm{~V}\), then the ratio of final energy to initial energy stored in the capacitor is

The charge on each capacitor when a voltage source os 15 V is connected in the circuit as shown, is

A projectile is thrown with an initial velocity \((a \hat{i}+b \hat{j}) \mathrm{m} / \mathrm{s}\), where \(\hat{i}\) and \(\hat{j}\) are unit vectors along horizontal and vertical directions respectively. If the range of the projectile is t...

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

To determine the internal resistance of a cell by using a potentiometer, the null point is at \(1 \mathrm{~m}\) when shunted by \(3 \Omega\) resistance and at a length \(1.5 \mathrm{~m}\), when cell is shunted by \(6 \Omega\) resistance The...

In the given circuit, the current in 8\(\Omega\) resistance is 1.5 A. The total current (I) flowing in the circuit is

In photoelectric effect, the photo current

de-Broglie wavelength associated with an electron accelerated through a potential difference '\(\mathrm{V}\)' is '\(\lambda\)'. When the accelerating potential is increased to '\(4 \mathrm{~V}\)', de-Broglie wavelength.

According to de-Broglie hypothesis if an electron of mass '\(m\)' is accelerated by potential difference '\(V\)', the associated wavelength is '\(\lambda\)'. When a proton of mass '\(\mathrm{M}\)' is accelerated through potential difference...

The self inductance of solenoid of length \(31.4 \mathrm{~cm}\), area of cross section \(10^{-3} \mathrm{~m}^2\) having total number of turns 500 will be nearly [\(\mu_0=4 \pi \times 10^{-7}\) SI unit]

A circuit has self-inductance 'L' H and carries a current 'I' A. To prevent sparking when the circuit is switched off, a capacitor which can withstand 'V' volt is used. The least capacitance of the capacitor connected across the switch must...

A conducting loop of resistance 'R' is moved to magnetic field, the total induced charge depends upon

Two point charges \(+3 \mu \mathrm{C}\) and \(+8 \mu \mathrm{C}\) repel each other with a force of \(40 \mathrm{~N}\). If a charge of \(-5 \mu \mathrm{C}\) is added to each of them, then force between them will become

Two positive ions, each carrying a charge 'q' are separated by a distance 'd'. If 'F' is the force of repulsion between the ions, the number of electrons from each ion will be (\(\varepsilon\) = charge on \(\varepsilon_k\) = permittivity of...

Three charges \(-\mathrm{q}, \mathrm{Q}\) and \(-\mathrm{q}\) are placed at equal distances on a straight line. If the total potential energy of the system of three charges is zero then the ratio \(\frac{Q}{q}\) is

Water rises upto a height of \(4 \mathrm{~cm}\) in a capillary tube. The lower end of the capillary tube is at a depth of \(8 \mathrm{~cm}\) below the water level. The mouth pressure required to blow an air bubble at the lower end of the ca...

A glass rod of radius '\(r_1\)' is inserted symmetrically into a vertical capillary tube of radius '\(r_2\)' (\(r_1 < \mathrm{r}_2\)) such that their lower ends are at same level. The arrangement is dipped in water. The height to which wate...

An ice cube of edge \(1 \mathrm{~cm}\) melts in a gravity free container. The approximate surface area of water formed is (water is in the form of spherical drop)

A body of mass 'M' and radius 'R', situated on the surface of the earth becomes weightless at its equator when the rotational kinetic energy of the earth reaches a critical value 'K'. The value of 'K' is given by [Assume the earth as a soli...

The time period of a satellite of earth is 5 hours. If the separation between the earth and the satellite will satellite is increased to four times the previous value, the new time period of the satellite will be

The rms speed of a gas molecule is '\(\mathrm{V}\)' at pressure '\(\mathrm{P}\)'. If the pressure is increased by two times, then the rms speed of the gas molecule at the same temperature will be

Equal volumes of two gases, having their densíties in the ratio of \(1: 16\) exert equal pressures on the walls of two containers. The ratio of their rms speads (\(\mathrm{C}_1: \mathrm{C}_2)\) is

For an ideal gas, \(R=\frac{2}{3} C_v\). This suggests that the gas consists of molecules, which are [\(\mathrm{R}=\) universal gas constant]

A cylindrical rod has temperatures '\(T_1\)' and '\(T_2\)' at its ends. The rate of flow of heat is '\(Q_1\)' cal \(\mathrm{s}^{-1}\). If length and radius of the rod are doubled keeping temperature constant, then the rate of flow of heat '...

The initial pressure and volume of a gas is '\(\mathrm{P}\)' and '\(\mathrm{V}\)' respectively. First by isothermal process gas is expanded to volume '\(9 \mathrm{~V}\)' and then by adiabatic process its volume is compressed to '$$\mathrm{V...

An electron in a circular orbit of radius \(0.05 \mathrm{~nm}\) performs \(10^{14}\) revolutions/second. What is the magnetic moment due to the rotation of electron? \((\mathrm{e}=1.6 \times 10^{-19} \mathrm{C})\)

A straight wire of diameter \(0.4 \mathrm{~mm}\) carrying a current of \(2 \mathrm{~A}\) is replaced by another wire of 0.8 \(\mathrm{mm}\) diameter carrying the same current. The magnetic field at distance \((\mathrm{R})\) from both the wi...

A long solenoid carrying current \(\mathrm{I}_1\) produces magnetic field \(\mathrm{B}_1\) along its axis. If the current is reduced to \(20 \%\) and number of turns per \(\mathrm{cm}\) are increased five times then new magnetic field B$$_2...

'Circle of least confusion' refers to which one of the following defects occurring in images formed by mirrors or lenses?

A plano-convex lens of refractive index (\(\mu_1^{\prime}\) fits exactly into a plano-concave lens of refractive index \(\mu_2\). Their plane surface are parallel to each other. 'R' is the radius of curvature of the curved surface of the le...

Two circular loops P and Q are made from a uniform wire. The radii of P and Q are R\(_1\) and R\(_2\) respectively. The momentsw of inertia about their own axis are \(\mathrm{I_P}\) and \(\mathrm{I_Q}\) respectively. If $$
\frac{\mathrm{I}_...

The moment of inertia of a body about the given axis, rotating with angular velocity 1 rad/s is numerically equal to 'P' times its rotational kinetic energy. The value of 'P' is

A body of mass 'm' and radius of gyration 'K' has an angular momentum 'L'. Then its angular velocity is

A metre scale is supported on a wedge at its centre of gravity. A body of weight 'w'. is suspended from the \(20 \mathrm{~cm}\) mark and another weight of 25 gram is suspended from \(74 \mathrm{~cm}\) mark balance it and the metre scale rem...

In a CE transistor, a change of \(8.0 \mathrm{~mA}\) in the emitter current produces a change of \(7.8 \mathrm{~mA}\) in the collector current. What change in the base current is necessary to produce the same change in the collector current...

For a two input AND gate, the four entries are shown in the truth table. Identify the correct ones out of these \((\mathrm{A}, \mathrm{B}=\) input, \(\mathrm{Y}=\) output)

.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-col...

When the temperature of a semiconductor is increased, its resistance and electric conductivity respectively.

A bob of simple pendulum of mass 'm' perform \(\mathrm{SHM}\) with amplitude '\(\mathrm{A}\)' and period 'T'. Kinetic energy of pendulum of displacement \(x=\frac{A}{2}\) will be

A body executes SHM under the action of force '\(\mathrm{F}_1\)' with time period '\(\mathrm{T}_1\)'. If the force is changed to '\(\mathrm{F_2}\)', it executes SHM with period '\(\mathrm{T_2}\)'. If both the forces '\(\mathrm{F_1}\)' and '...

An object executes SHM along \(x\)-axis with amplitude \(0.06 \mathrm{~m}\). At certain distance '\(\mathrm{x}\)' metre from mean position, it has kinetic energy \(10 \mathrm{~J}\) and potential energy \(8 \mathrm{~J}\). the distance '$$\ma...

In Young's double slit experiment, the intensity at a point where path difference is \(\frac{\lambda}{6}\) (\(\lambda\) being the wavelength of light used) is \(I^{\prime}\). If '\(I_0\)' denotes the maximum intensity, then $$\frac{I}{I_0}$...

In biprism experiment, \(6^{\text {th }}\) bright band with wavelength '\(\lambda_1\)' coincides with \(7^{\text {th }}\) dark band with wavelength '\(\lambda_2\)' then the ratio \(\lambda_1: \lambda_2\) is (other setting remains the same)

In Young's double slit experiment, the distance of \(\mathrm{n}^{\text {th }}\) dark band from the central bright band in terms of bandwidth '\(\beta\)' is

What is the effect of pressure on the speed of sound in a medium, if pressure is doubled at constant temperature?

Two sound waves having wavelengths \(5.0 \mathrm{~m}\) and \(5.5 \mathrm{~m}\) propagates in a gas with velocity 300 \(\mathrm{m} / \mathrm{s}\). The number of heats produced per second is

The frequency of a tuning fork is \(220 \mathrm{~Hz}\) and the velocity of sound in air is \(330 \mathrm{~m} / \mathrm{s}\). When the tuning fork completes 80 vibrations, the distance travelled by the

A uniform rope of length \(12 \mathrm{~m}\) and mass \(6 \mathrm{~kg}\) hangs vertically from the rigid support. A block of mass \(2 \mathrm{~kg}\) is attached to the free end of the rope. A transverse pulse of wavelength $$0.06 \mathrm{~m}...