List of top Questions asked in MHT CET

Which of the following transition in hydrogen atom emits photon of highest frequency?

A LED emits visible light when its

In transition 'a', three \(\alpha\) particles and two \(\beta\) particles are emitted in succession from the element \({}_{86}X^{226}\). In transition 'b', two gamma rays, one \(\beta\) particle and two \(\alpha\) particles are emitted in succession from element \({}_{96}Y^{236}\). The atomic number and the mass number of the new elements formed respectively are

Which of the following substances contains the maximum number of atoms?
(molar mass in g mol\({}^{-1}\) - \(\text{CO}_{2}=44\), \(\text{H}_{2}=2\), \(\text{Cr}=51.99\), \(\text{Cl}_{2}=71\))

In one branch, \(40\Omega\) resistance and a p-n junction diode are connected in series and in another branch, \(40\Omega\) resistance is connected. Both the branches are connected in parallel to each other. The total resistance of the circuit when a) diode is forward biased and when b) diode is reverse biased respectively are {consider the p-n junction diode as an ideal diode}

A bi-convex lens is formed with two thin plano-convex lenses as shown in the figure. Refractive index of the first lens is \(1.5\) and that of second is \(1.2\). Both the curved surfaces are of the same radius of curvature \(R=14\) cm. For an object distance of \(40\) cm, the image distance will be

In Young's double slit experiment, the fringe width is \(2.4\) mm with light of wavelength \(9000\) A.U. If the light of wavelength \(5400\) A.U. is used, with no other change in the experimental set up. The change in fringe width is

Resolving power of a telescope can be increased by

Unpolarized light with intensity \(I_{0}\) passes through three polaroids such that the transmission axis of the last polaroid is crossed with the first. If the intensity of emerging light is \(I_{1}\left(I_{1}=\frac{3}{32}I_{0}\right)\). The angle between the first two polaroids and the angle for which the transmitted intensity is maximum are respectively \(\{\)given, \(\cos (90)=0\}\)

A photon of energy \(10\) units ejects a photo-electron from a metal surface whose work function is \(\Phi _{0}\). If an electron(e) having maximum kinetic energy enters into a uniform magnetic field of induction(B) in a direction perpendicular to the field and describes a circular path of radius R, then radius R is {\(m=\)mass of electron}

Two conducting circular loops of radii \(r\) and \(2r\) are placed in the same plane with their centres coinciding. The mutual inductance \(M\) between them is {same current is passing through both the coils} (\(\mu _{0}=\) permeability of free space)

In a series LCR circuit, the inductance \(L=20\) mH, capacitor \(C=2\mu\)F and resistance \(R=100\) ohm. The frequency at which resonance occurs is

A conducting rod AB of length \(l\) is rotated about point O which lies between point A and B in a uniform magnetic field \(\vec{B}\) directed into the paper. If length \(AO=\frac{l}{3}\), then \((V_{A}-V_{B})\) is \(\{\omega =\) angular velocity\(\}\)

An e.m.f. \(e=E_{0}\cos \omega t\) is applied to a circuit containing L, C and R in series where \(X_{L}=4R\) and \(X_{C}=R\). The average power dissipated in the circuit is

By combining three inductances, \(2\) H, \(4\) H and \(6\) H, the minimum value of effective inductance that can be obtained is (in H)

An electron is moving with initial velocity \(\vec{v}=a\hat{k}\) in a magnetic field \(\vec{B}=b\hat{j}\). Its de-Broglie wavelength will

The value of shunt resistance that allows \(5\%\) of the main current through the galvanometer of \(100\Omega\) is nearly

Two inductors, \(L_{1}\) and \(L_{2}\), are connected in parallel and time-varying current flows the combination. If \(I_{1}\) and \(I_{2}\) are the currents passing through the inductor \(L_{1}\) and \(L_{2}\) respectively, the ratio \(\frac{I_{2}}{I_{1}}\) is

Two long straight parallel wires are separated by a distance of \(20\) cm. Each wire carries current \(5\) mA in the same direction. The magnetic field at a point P midway between them is \(\{\mu _{0}=\) permeability of free space\(\}\)

A charge \(q\) is circulating at a constant speed \(v\) with a semicircular loop of radius \(r\). The magnetic moment of this loop is

A charged particle of mass \(m\) and charge \(q\) travels on a circular path, (of radius \(5\) unit) is perpendicular to a magnetic field \(B\). The time taken by a particle to complete \(10\) revolutions is

When the dielectric is placed in an external electric field, the electric field inside the dielectric is

Two cells of e.m.f.s approximately \(5\) V and \(10\) V are to be compared using a potentiometer (sum and difference method) of length \(400\) cm, then,

A pipe closed at one end vibrating in the sixth overtone is in unison with the open pipe vibrating in its sixth overtone. The ratio \(l_{c}:l_{o}\) is \(\{l_{c}=\) vibrating length of pipe closed at one end, \(l_{o}=\) vibrating length of pipe open at both ends\(\}\)

The equal charges (say 'q') are placed at a distance of \(4r\) and a third charge \((-2q)\) is placed at a mid-point. The potential energy of the system is (\(\epsilon _{0}=\) permittivity of free space)