List of top Questions asked in MHT CET

Which element in group \(17\) has the highest electronegativity?
Identify the orbital having quantum numbers, \(n=4\) and \(l=2\) from following.
Pure silicon crystal at \(300\)K has equal electron and hole concentration \(2\times 10^{16}\) per m\({}^{3}\). Doping by indium increases hole concentration to \(4\times 10^{22}\) per m\({}^{3}\). Electron concentration in doped silicon is
A double slit experiment is immersed in water of refractive index \(1.33\). The slit separation is \(1\) mm, distance between slit and screen is \(1.33\) m. The slits are illuminated by a light of wavelength \(6300\text{Å}\). The fringewidth is \(x\times 10^{-4}m\). The value of \({}'x'\) is
In Bohr's theory of hydrogen atom, in any series of spectral lines, wavelength of first line and corresponding series limit is respectively
The ratio of de-Broglie wavelengths of molecules of hydrogen and helium which are at temperatures \(27^{\circ }C\) and \(127^{\circ }C\) respectively is (\(m_{He}=2m_{H_{2}}\))
An electromagnetic wave of wavelength \(\lambda\) is incident on a photosensitive surface of negligible work function. If the photoelectrons emitted from this surface have de-Broglie wavelength \(\lambda _{1}\), then
Assuming the atom is in the ground state, the expression for the magnetic field at a point nucleus in hydrogen atom due to circular motion of electron is (\(\mu _{0}\) = permeability of free space, \(\epsilon _{0}\) = permittivity of free space, \(m\) = mass of electron, \(e\) = electronic charge)
In the given circuit, r.m.s. value of current through the resistor \(R\) is
A Parallel beam of monochromatic light is incident on a plane reflecting surface. If width of the plane incident and reflected plane wavefront is represented by \(AB\) and \(CD\) respectively then
A convex lens of focal length \(F\) produces a real image \({}'n'\) times the size of the object. The image distance is
Two plane polarised light waves combine at a certain point whose electric field components are \(E_{1}=E_{0}\sin \omega t\) and \(E_{2}=E_{0}\sin (\omega t+\pi /3)\). The amplitude of the resultant wave is (\(\cos 60^{\circ }=0.5\))
A capacitor of \(10\mu F\) has reactance \(2\times 10^{-3}\Omega\). The corresponding frequency is
A closed coil consists of \(500\) turns on a rectangular frame of area \(4.0\) cm\({}^{2}\) and has a resistance of \(50\Omega\). The coil is kept with its plane perpendicular to a uniform magnetic field of \(0.2\) T. The amount of charge flowing through the coil if it is turned through \(180^{\circ }\) will be \(1.6\times 10^{-x}\) C. The Value of \(x\) is
The coil of area \(0.1\) m\({}^{2}\) has \(1000\) turns. It is placed in a magnetic field of strength \(5\times 10^{-4}\) T. The average e.m.f. induced in the coil, if rotated through \(180^{0}\) in \(0.1\) s is (\(\cos 0^{\circ }=1,\,\cos 180^{\circ }=-1\))
Choose the WRONG Statement from the following statements.
(A) A toroid is a solenoid bent in the form of a closed ring.
(B) The magnetic field lines of solenoid are straight lines parallel to the axis inside the solenoid.
(C) The magnetic field lines of toroid are circular having common centre.
(D) Inside a solenoid, magnetic field may be made strong by passing small current and using laminated coil of soft iron.
An induced current of \(2\)A flows through a coil. The resistance of the coil is \(10\Omega\). What is the change in magnetic flux associated with a coil in \(1\) ms ?
The relation between total magnetic field \((B)\), magnetic intensity \((H)\), permeability of free space \((\mu _{0})\) and susceptibility \((\chi )\) is
An inductor of self inductance \(1\)H connected in series with a resistor of \(100\pi \Omega\) and an a.c. supply of \(100\pi\)V, \(50\) Hz. Maximum current flowing in the circuit in ampere is
When current \(I\) is passed through galvanometer coil, it is deflected through \(16^{\circ }\). But when it is shunted by a resistance of \(8\Omega\), the same current produces a deflection of \(4^{\circ }\). The resistance of the galvanometer is
Two parallel wires of equal lengths are separated by a distance of \(3\) m from each other. The currents flowing through first and second wire is \(3\)A and \(4.5\)A respectively in opposite directions. The resultant magnetic field at mid point of both the wires is (\(\mu _{0}\) = permeability of free space)
A capacitor of unknown capacitance is connected across a battery of \({}'V'\) volt. The charge stored in it is \({}'Q'\) C. When potential across the capacitor is reduced by \({}'V_{1}'\) volt, the charge stored in it becomes \({}'Q_{1}'\) C. The potential \({}'V'\) is
To determine the internal resistance of a cell by using a potentiometer, the null point is obtained at \(1\)m when cell is shunted by \(3\Omega\) resistance and at \(1.5\)m length when cell is shunted by \(6\Omega\) resistance. The internal resistance of the cell is
What will be the charge on any one of the \(4\mu F\) capacitors and \(2\mu F\) capacitor in \(\mu C\) ?
A spherical conductor of diameter \(3\) mm is kept in a uniform electric field of intensity \(4\times 10^{7}\) N/C. The maximum charge on the conductor is \(\left(\frac{1}{4\pi \epsilon _{0}}=9\times 10^{9}SIunits\right)\)