List of top Questions asked in MHT CET

The color of light emitted by an LED is determined primarily by which of the following factors?
\(500\ \text{mL}\) of nitrogen gas and \(750\ \text{mL}\) hydrogen gas were allowed to react at \(1\ \text{bar}\) pressure according to reaction,
\(\text{N}_{2(g)}+3\text{H}_{2(g)}\rightarrow 2\text{NH}_{3(g)}\)
What is PV type of work done during reaction?
A bubble of air is underwater at temperature \(15\ ^{\circ }\text{C}\) and the pressure \(1.5\ \text{bar}\). If the bubble rises to the surface where the temperature is \(25\ ^{\circ }\text{C}\) and the pressure is \(1.0\ \text{bar}\), what will happen to the volume of the bubble?
Calculate the de-Broglie wavelength of an electron having velocity \(1000\ \text{ms}^{-1}\) [\(h=6.626\times 10^{-34}\ \text{js}\), mass of an electron \(=9.1\times 10^{-31}\ \text{kg}\)]
The bond order of \(\text{N}_{2}^{+}\) ion is:
A hydrogen atom in its ground state is irradiated by light of wavelength \(1026\ \text{Å}\). The electron gets excited to higher energy state \(n\). Given the ground state energy is \(-13.6\ \text{eV}\) and \(hc=1242\ \text{eV}\cdot \text{nm}\), then the value of principal quantum number \(n\) is
Consider the following nuclear fission reaction
\({}_{0}^{1}n+{}_{92}^{235}U\rightarrow {}_{Z}^{A}Y+{}_{41}^{99}Nb+neutrons\).
If \(4\) neutrons are released during the fission process, then \(A\) and \(Z\) are
A light of wavelength \(\lambda\) \((\lambda \lt \lambda _{0})\) falls on a metal surface. The momentum of the fastest moving electron is \(p\). In order to have the momentum of an electron equal to \(2p\), the required wavelength \(\lambda '\) of incident light must be
The path difference between the two waves \(y_{1}=a_{1}\sin \left(\omega t-\frac{2\pi x}{\lambda }+\pi \right)\) and \(y_{2}=a_{2}\cos \left(\omega t-\frac{2\pi x}{\lambda }+\phi \right)\) is
The de Broglie wavelength of an electron with kinetic energy \(K_{1}\) is \(\lambda _{1}\). If the kinetic energy increases to \(5K_{1}\), the new wavelength is \(\lambda _{2}=x\lambda _{1}\). The value of \(x\) is
A silicon crystal is doped with \(5\times 10^{17}\ \text{cm}^{-3}\) atoms of boron. The electron concentration \((n_{e})\) at room temperature is \((n_{i}=1.5\times 10^{10}\ \text{cm}^{-3})\)
Two images are considered "just resolved" according to Rayleigh's criterion when
An unpolarized light beam of intensity \(I_{0}\) passes through a series of \(n\) Polaroids \(P_{1},P_{2},P_{3},\ldots P_{n}\). The pass axis of each Polaroid makes an angle of \(60^{\circ }\) with the other Polaroid. What is the final intensity of the transmitted beam? \((\cos 60^{\circ }=1/2)\)
For an R-L series circuit, the power factor is \(\frac{\sqrt{3}}{2}\), for a supply frequency of \(f\) Hz. If the frequency doubles, the new power factor will be
The focal length of the objective of astronomical telescope is \(2\ \text{m}\). Under normal adjustment, length of telescope is \(2.10\ \text{m}\). The magnifying power of the telescope under normal adjustment is
What is the total optical path length of two media in contact with thicknesses of \(d\) and \(\frac{d}{4}\) and refractive indices of \(n_{1}\) and \(n_{2}\), respectively?
The ratio of cyclotron frequency \(f\) to the radius of the path of a charged particle \(R\) is \(\frac{q^{2}B^{2}}{2\pi m^{2}}x\). Then the value of \(x\) is ( \(v\) is velocity of charged particle)
The coefficient of coupling is \(0.8\). If the mutual inductance is \(8\ \text{H}\), then the values of self-inductances \(L_{1}\) and \(L_{2}\) of the coil are
A magnetic material has a relative permeability \((\mu _{r})\) of \(6001\). If it is placed in a magnetizing field (magnetic intensity) of \(H=2000\ \text{A/m}\), The total magnetic induction \((B)\) inside the material is nearly equal to
\(\mu _{0}=4\pi \times 10^{-7}\ \text{T}\cdot \text{m/A}\)
If a single-turn circular coil ( of radius \(R_{1}\)) carrying a current \(I\) is rewound into a coil of \(N\) turns ( of radius \(R_{2}\)) using the same total length of wire and carrying the same current \(I\), the ratio of the magnetic field at the centre of the new coil \((B_{2})\) to that of the original coil \((B_{1})\) is
A square loop of area \(A\) is moving out of the uniform magnetic field \((B)\) with constant velocity \(v\). The EMF \((e)\) induced in the loop is
Two coils have mutual inductance of \(0.004\ \text{H}\). The current changes in the first coil according to the relation \(i=i_{0}\cos \omega t\), where \(i_{0}=6\ \text{A}\) and \(\omega =100\pi \ \text{rad/s}\). The maximum value of emf induced in second coil is
A closed loop consists of a \(15\ \text{V}\) battery, a \(5\ \text{V}\) battery (opposing the first), and a \(25\ \Omega\) resistor. The current through the loop is
A potentiometer wire of \(400\ \text{cm}\) length has a resistance of \(20\ \Omega\). It is connected in series with a resistance of \(15\ \Omega\) and a accumulator of EMF \(6\ \text{V}\) (negligible internal resistance). The potential gradient \(k=\frac{x}{7}\ \text{V/m}\). The value of \(x\) is
A hollow metal sphere of radius \(5\ \text{cm}\) is charged such that the potential on its surface is \(10\ \text{V}\). The electric field at its centre is