MHT CET 2023 13th May Evening Shift

The number of turns in the primary and the secondary of a transformer are 1000 and 3000 , respectively. If \(80 \mathrm{~V} \mathrm{~AC}\) is applied to the primary coil of the transformer, then the potential difference per turn of the seco...

A group of lamps having total power rating of \(1000 \mathrm{~W}\) is supplied by an AC voltage of \(E=200 \sin \left(310 t+60^{\circ}\right)\), the rms value of current flowing through the circuit is

At a particular angular frequency, the reactance of capacitor and that of inductor is same. If the angular frequency is doubled, the ratio of the reactance of the capacitor to that of the inductor will be

In a \(L\)-\(R\) circuit the inductive reactance is equal to the resistance $R$ in the circuit. An emf \(E=E_0 \cos \omega t\) is applied to the circuit. The power consumed in the circuit is

An excited hydrogen atom emits a photon of wavelength \(\lambda\) in returning to ground state. The quantum number \(n\) of the excited state is (\(R=\) Rydberg's constant)

When an electron is excited from its 4 th orbit to 5 th stationary orbit, the change in the angular momentum of electron is approximately.
(Planck's constant \(=h=6.63 \times 10^{-34} \mathrm{~J}-\mathrm{s}\) )

In a parallel plate capacitor with air between the plates, the distance \(d\) between the plates is changed and the space is filled with dielectric constant 8. The capacity of the capacitor is increased 16 times, the distance between the pl...

In the given figure, the equivalent capacitance between points A and B is

A simple spring has length \(l\) and force constant \(K\). It is cut in to two springs of length \(l_1\) and \(l_2\) such that \(l_1=n l_2\)(\(n\) is an integer). The force constant of spring of length \(l_1\) is

A stone is projected at angle \(\theta\) with velocity \(u\). If it executes nearly a circular motion at its maximum point for short time, then the radius of the circular path will be ( \(g=\) acceleration due to gravity)

A \(10 \mathrm{~m}\) long wire of resistance \(20 \Omega\) is connected in series with a battery of emf \(3 \mathrm{~V}\) (negligible internal resistance) and a resistance of \(10 \Omega\). The potential gradient along the wire is

Only \(4 \%\) of the total current in the circuit passes through a galvanometer. If the resistance of the galvanometer is \(G\), then the shunt resistance connected to the galvanometer is

Dual nature of light is exhibited by

When radiations of wavelength \(\lambda\) is incident on a metallic surface the stopping potential required is \(4.8 \mathrm{~V}\). If same surface is illuminated with radiations of double the wavelength, then required stopping potential be...

A metal disc of radius \(R\) rotates with an angular velocity \(\omega\) about an axis perpendicular to its plane passing through its centre in a magnetic field of induction \(B\) acting perpendicular to the plane of the disc. The magnitude...

A conductor \(10 \mathrm{~cm}\) long is moves with a speed \(1 \mathrm{~m} / \mathrm{s}\) perpendicular to a field of strength \(1000 \mathrm{~A} / \mathrm{m}\). The emf induced in the conductor is (Given : $$\mu_0=4 \pi \times 10^{-7} \mat...

The work done in rotating a dipole placed parallel to the electric field through \(180^{\circ}\) is W. So, the work done in rotating it through \(60^{\circ}\) is $$\left(\cos 0^{\circ}=1, \cos 60^{\circ}=\frac{1}{2}, \cos 180^{\circ}=-1\rig...

In the electric field due to a charge \(Q\), a charge \(q\) moves from point \(A\) to \(B\). The work done is ( \(\varepsilon_0=\) permittivity of vacuum)

There is hole of area \(A\) at the bottom of a cylindrical vessel. Water is filled to a height \(h\) and water flows out in \(t\) second. If water is filled to a height \(4 h\), it will flow out in time (in second)

If work done in blowing a soap bubble of volume \(V\) is \(W\), then the work done in blowing the bubble of volume \(2 \mathrm{~V}\) from same soap solution is

If two planets have their radii in the ratio \(x: y\) and densities in the ratio \(m: n\), then the acceleration due to gravity on them are in the ratio

A mine is located at depth \(R / 3\) below earth's surface. The acceleration due to gravity at that depth in mine is (\(R=\) radius of earth, \(g=\) acceleration due to gravity)

A sample of oxygen gas and a sample of hydrogen gas both have the same mass, same volume and the same pressure. The ratio of their absolute temperature is

The internal energy of a monoatomic ideal gas molecule is

A gas at pressure \(p_0\) is contained in a vessel. If the masses of all the molecules are halved and their velocities are doubled, then the resulting pressure would be equal to

For an adiabatic process, which one of the following is wrong statement?

Which one of the following is based on convection?

A carnot engine operates with source at \(227^{\circ} \mathrm{C}\) and sink at \(27^{\circ} \mathrm{C}\). If the source supplies \(50 \mathrm{~kJ}\) of heat energy, the work done by the engine is

A spring balance is attached to the ceiling of a lift. A man hangs his bag on the spring and the spring balance reads \(49 \mathrm{~N}\), when the lift is stationary. If the lift moves downward with an acceleration of $$5 \mathrm{~m} / \mat...

Magnetic shielding is done by surrounding the instrument to be protected from magnetic field by

Two bodies \(A\) and \(B\) start from the same point at the same instant and move along a straight line. body \(A\) moves with uniform acceleration \(a\) and body \(B\) moves with uniform velocity \(v\). They meet after time \(t\). The valu...

A small steel ball is dropped from a height of \(1.5 \mathrm{~m}\) into a glycerine jar. The ball reaches the bottom of the jar \(1.5 \mathrm{~s}\) after it was dropped. If the retardation is \(2.66 \mathrm{~m} / \mathrm{s}^2\), the height ...

The ratio of magnetic field at the centre of the current carrying circular loop and magnetic moment is \(X\). When both the current and radius are doubled, then the ratio will be

A circular current carrying coil has radius \(R\). The magnetic induction at the centre of the coil is \(B_C\). The magnetic induction of the coil at a distance \(\sqrt{3} R\) from the centre along the axis is \(B_A\). The ratio $$B_A: B_C$...

A ray of light passes through an equilateral prism such that the angle of incidence \((i)\) is equal to angle of emergence \((e)\). The angle of emergence is equal to \(\left(\frac{3}{4}\right)\)th the angle of prism. The angle of deviation...

The radii of curvature of both the surfaces of a convex lens of focal length \(f\) and power \(P\) are equal. One of the surfaces is made by plane grinding. The new focal length and focal power of the lens is

Four identical uniform solid spheres each of same mass \(M\) and radius \(R\) are placed touching each other as shown in figure with centres \(A, B, C, D. I_A, I_B, I_C, I_D\) are the moment of inertia of these spheres respectively about an...

A thin uniform \(\operatorname{rod} A B\) of mass \(m\) and length \(l\) is hinged at one end \(A\) to the ground level. Initially the rod stands vertically and is allowed to fall freely to the ground in the vertical plane. The angular velo...

The Boolean expression for the following combination is

If the maximum efficiency of a full wave rectifier is \(x \%\) and that of half-wave rectifier is \(y \%\), then the relation between \(x\) and \(y\) is

Doping of a semiconductor (with small impurity atoms) generally changes the resistivity as follows.

Under the influence of force \(F_1\) the body oscillates with a period \(T_1\) and due to another force \(F_2\) body oscillates with period \(T_2\). If both forces acts simultaneously, then the resultant period is
(consider displacement is ...

A mass \(M\) is suspended from a light spring. An additional mass \(M_1\) added extends the spring further by a distance \(x\). Now, the combined mass will oscillate on the spring with period \(T=\)

Light of wavelength \(5000 \mathop A\limits^o\) is incident normally on a slit. The first minimum of the diffraction pattern is observed to lie at a distance of \(5 \mathrm{~mm}\) from the central maximum on a screen placed at a distance of...

The path difference between two identical light waves at a point \(Q\) on the screen is \(3 \mu \mathrm{m}\). If wavelength of the waves is \(5000 \mathop A\limits^o\), then at point \(Q\) there is

Of the two slits producing interference in Young's experiment, one is covered with glass so that light intensity passing is reduced to \(50 \%\). Which of the following is correct?

When two tuning forks are sounded together, 5 beats per second are heard. One of the forks is in unison with \(0.97 \mathrm{~m}\) length of sonometer wire and the other is in unison with \(0.96 \mathrm{~m}\) length of the same wire. The fre...

The equation of a progressive wave is \(Y=a \sin 2 \pi\left(n t-\frac{x}{5}\right)\). The ratio of maximum particle velocity to wave velocity is

A transverse wave strike against a wall,

A closed pipe and an open pipe have their first overtone equal in frequency. Then, the lengths of these pipe are in the ratio