List of top Questions asked in MHT CET

\(\beta\), \(R_{L}\) and \(r\) are the a.c. current gain, load resistance and the input resistance of a transistor respectively in common emitter configuration, the voltage gain and the power gain are respectively

Activity of a radioactive sample decreases to \(\left(\frac{1}{3}\right)^{rd}\) of its original value in \(3\) days. Then in \(9\) days its activity will become

Which of the following contains the maximum number of atoms?

Identify a pair of isomorphous substances from following.

The de-Broglie wavelength \(\lambda\) of a particle

Bohr model is applied to a particle of mass \(m\) and charge \(q\) is moving in a plane under the influence of a transverse magnetic field \(B\). The energy of the charged particle in \(n^{th}\) level will be (\(h\) = Planck's constant)

Two particles A and B of masses \(m_{1}\) and \(m_{2}\) (\(m_{1}>m_{2}\)) have the same de-Broglie wavelength, then

If fringe width is \(0.4\) mm, the distance between fifth bright and third dark band on the same side in interference pattern of Young's double slit experiment is (in mm)

The combined focal length is \(F\) when a convex lens of focal length \(F_{1}\) and concave lens of focal length \(F_{2}\) is combined. The combination of these lenses will behave like a concave lens, if

The thickness of a plate (refractive index \(\mu\)) which will produce a change in optical path equal to half the wavelength \(\lambda\) of the light passing through it normally, is

A parallel beam of light of intensity \(I_{0}\) is incident on a glass plate, \(25\%\) of light is reflected by upper surface (\(I_{1}\)) and \(50\%\) of light is reflected from lower surface (\(I_{2}\)). The ratio \(I_{2}\) to \(I_{1}\) is

In an a.c. circuit, if the frequency is doubled, what happens to the capacitive reactance (\(X_{c}\)) and the current (\(I\))?

A coil of self inductance \(L\) is connected in series with a bulb B and an a.c. source. Brightness of the bulb decreases when

A resistance of \(20\Omega\) is connected to a source of alternating potential \(V=220\,\sin (100\pi t)\). The time taken by current to change from its peak value to r.m.s. value is \(\left(\sin \frac{\pi }{4}=\frac{1}{\sqrt{2}}\right)\)

What is the self inductance of a solenoid of length \(10\pi\) cm, area of cross-section \(10^{-3}\text{m}^{2}\) and total number of turns \(10^{3}\)? (\(\mu _{0}=4\pi \times 10^{-7}\) SI unit)

A current \(i=10\,\sin (100\pi t)\) A is passed in first coil, which induces a maximum e.m.f. \(5\pi\) V in second coil. The mutual inductance between the coils is

The angle made by electron's orbital angular momentum (\(L\)) with the direction of the orbital magnetic moment (\(M\)) is

When a resistance of \(100\Omega\) is connected in series with galvanometer of resistance \(R\), its range is \(V\). To double its range, another additional resistance of \(1000\Omega\) is connected in series. Find the value of \(R\).

A potentiometer wire has length \(L\). For a given cell of e.m.f. \(E\), 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 (from positive end)

Three long straight parallel wires carrying currents are arranged as shown. The wire C carries a current \(50\) A is so placed that it experiences no force. The distance of wire C from wire A in cm is

The magnitude of magnetic induction at a point on the axis at a large distance \(r\) from a centre of a circular coil of \(n\) turns and area \(A\) carrying current \(i\) is (\(\mu _{0}\) = permeability of free space)

A conductor of length \(1\) m rotates vertically about one of its ends at angular velocity \(5\) rad/s. If the horizontal component of earth's magnetic field is \(0.2\times 10^{-4}\) T, then the e.m.f. developed between the ends of the conductor is

A parallel plate air capacitor has capacity \(C\) and plate area \(A\). Now the space between its plates is filled by two slabs of thickness \(\frac{d}{2}\) each, having dielectric constants \(K_{1}\) and \(K_{2}\). Distance of separation between plates is \(d\). The capacity of the capacitor is (\(\varepsilon _{0}\) = permittivity of free space)

The electric flux entering and leaving an enclosed surface are \(\Phi _{1}\) and \(\Phi _{2}\) respectively. The electric charge inside the surface will be (\(\varepsilon _{0}\) = permittivity of vacuum)

A parallel plate capacitor having capacity \(12\) pF is charged by a battery of \(10\) V between its plates. The battery is now disconnected and a slab of dielectric constant \(6\) is kept between the plates. The work done by the capacitor on the slab is