List of top Questions asked in MHT CET

An object is immersed in a fluid of refractive index \( \mu \). In order that the object becomes invisible when observed from outside, it should
How much energy is imparted to an electron so that its de-Broglie wavelength reduces from \( 10^{-10} \) m to \( 0.5 \times 10^{-10} \) m?
A horizontal spring executes S.H.M. with amplitude \( A_1 \), when mass \( m_1 \) is attached to it. When it passes through mean position, another mass \( m_2 \) is placed on it. Both masses move together with amplitude \( A_2 \). Therefore \( A_2 : A_1 \) is
According to Abbe, in the formula for resolving power of microscope, the numerical aperture is represented by
A capacitor of unknown capacitance \( C \) is connected across a battery of \( V \) volt. The charge stored in it becomes \( Q \) coulomb. When potential across the capacitor is reduced by \( V' \) volt, the charge stored in it becomes \( Q' \) coulomb. The capacitance \( C \) is
In a sphere of influence, the liquid molecule at its centre is
A rubber ball be taken in a deep sea so that its volume is decreased by \( x %\). The bulk modulus of rubber is \( K \) and density of sea water is \( \rho \). The depth to which a rubber ball is taken is proportional to
A circular arc of radius \( r \) carrying current \( I \) subtends an angle \( \frac{\pi}{16} \) at its centre. The radius of a metal wire is uniform. The magnetic induction at the centre of circular arc is
The speed of a wave in a certain medium is 960 m/s. If 900 waves pass over a certain point of the medium in half a minute, the wavelength of the wave is
A convex lens of focal length \( F \) produces a real image \( n \) times the size of the object. The image distance is
The quantity \( \frac{pV}{kT} \) represents (where \( k \) is the Boltzmann constant)
The sensitivity of moving coil galvanometer is inversely proportional to
In a biprism experiment, the slit separation is 1 mm. Using monochromatic light of wavelength 5000Å, an interference pattern is obtained on the screen. Where should the screen be moved, so that the change in fringe width is \( 12.5 \times 10^{-5} \, \text{m} \)?
Force \( F = P \cos(Ax) + Q \sin(Bt) \), where \( x \) and \( t \) are displacement and time respectively. Which one of the following physical quantity has the dimensions of \( \frac{[B]}{[A]} \)?
A train has to negotiate a curve of radius \( r \) m, the distance between the rails is \( \ell \) m and outer rail is raised above inner rail by distance of \( h \) m. If the angle of banking is small, the safety speed limit on this banked road is
A parallel plate capacitor has uniform electric field \( E \) in the space between the plates. If the distance between plates is \( d \) and area of each plate is \( A \), the energy stored in the capacitor is \( \epsilon_0 \) = permittivity of free space
The length of potentiometer wire is 4m and is connected in series with an accumulator. The e.m.f. (unknown) of a cell balances against 1.5 m length of wire. If the length of potentiometer wire is doubled, then the new balancing length of wire will be
A transverse wave is travelling with velocity \( V \) through a metal wire of length \( L \) and density \( \rho \). The tensile stress in the wire is
The value of current \( I \) in the given current distribution is
In common emitter mode of transistor, the d.c. current gain is 20, the emitter current is 7 mA. The collector current is
In experiment of photoelectric effect, the stopping potential for a given metal is \( V_0 \) volt, when radiation of wavelength \( \lambda_0 \) is used. If radiation of wavelength \( 2\lambda_0 \) is used for the same metal, then the stopping potential (in volts) will be
A metal sphere of mass \( m \) and density \( \sigma_1 \) falls with terminal velocity through a container containing liquid. The density of liquid is \( \sigma_2 \). The viscous force acting on the sphere is
In hydrogen spectrum, which of the following spectral series lies in ultraviolet region?
If \( \mathbf{A} = \hat{i} + 12 \hat{j} + \hat{k} \) and \( \mathbf{B} = 2\hat{i} - a\hat{j} + \hat{k} \) are perpendicular to each other, then what will be the value of \( a \)?
For any two vectors \( \mathbf{A} \) and \( \mathbf{B} \) if \( \mathbf{A} \cdot \mathbf{B} = |\mathbf{A}| |\mathbf{B}| \cos \theta \), the magnitude of \( (\mathbf{A} + \mathbf{B}) \) is (given \( \tan \theta = 1 \), \( \cos \theta = \frac{1}{\sqrt{2}} \))