List of top Questions asked in MHT CET

A ray of light is incident at an angle of incidence \( i \) on one surface of a thin prism of small angle \( A \). The ray emerges normally from the opposite surface. If the refractive index of the material of the prism is \( \mu \), the angle of incidence \( i \) is nearly equal to
In which layer of the atmosphere is water vapour present?
Scale of galvanometer divided into 100 equal divisions has a current sensitivity 10 div/mA and voltage sensitivity 4 div/mV. The resistance of the galvanometer is
For an ideal diode, the current in the following arrangement is
Let \( R_1 \) and \( R_2 \) are radii of two mercury drops. A big mercury drop is formed from them under isothermal conditions. The radius of the resultant drop is
An electron of mass \( m \) is revolving around the nucleus in a circular orbit of radius \( r \) has angular momentum \( L \). The magnetic field produced by the electron at the centre of the orbit is
A liquid kept in a cylindrical vessel is rotated about vertical axis through the centre of circular base. The difference in the heights of the liquid at the centre of vessel and its edge is \( R \) (radius of vessel), \( \omega \) (angular velocity of rotation), and \( g \) (acceleration due to gravity)
A potentiometer wire has length 4 m and resistance 5 \( \Omega \). It is connected in series with 495 \( \Omega \) resistance and a cell of e.m.f. 4V. The potential gradient along the wire is
Two wires A and B having same length and material are stretched by the same force. Their diameters are in the ratio 1 : 3. The ratio of energy density of wire A to that of wire B when stretched, is
A particle moves along a circular path with decreasing speed. Hence
In fundamental mode, the time required for the sound wave to reach up to the closed end of a pipe filled with air is \( t \) second. The frequency of vibration of air column is
The relation between total magnetic field \( B \), magnetic intensity \( H \), permeability of free space \( \mu_0 \) and susceptibility \( x \) is
A solid sphere of mass \( M \) and radius \( R \) has moment of inertia \( I \) about its diameter. It is recast into a disc of thickness \( t \) whose moment of inertia about an axis passing through its edge and perpendicular to its plane, remains \( I \). Radius of the disc will be
In a capacitive circuit, the reactance of capacitor at frequency \( f \) is \( X_C \). What will be its reactance at frequency \( 2f \)?
The air column in an organ pipe closed at one end is made to vibrate so that there are 2 nodes and antinodes each. The mode of vibration is called
The magnifying power of an astronomical telescope is \( m \). If the focal length of the eyepiece is doubled, the magnifying power will become
When light of wavelength \( \lambda \) is incident on photosensitive surface, photons of power \( P \) are emitted. The number of photons \( n \) emitted in \( t \) second is
A spring executes S.H.M. with mass 10 kg attached to it. The force constant of the spring is 10 N/m. If at any instant its velocity is 40 cm/s, the displacement at that instant is (Amplitude of S.H.M. = 0.5 m)
In the circuit shown, the potential difference across the 4.5\( \mu F \) capacitor is
The length of the seconds pendulum is decreased by 0.3 cm when it is shifted from place A to place B. If the acceleration due to gravity at place A is 981 cm/s\(^2\), the acceleration due to gravity at place B is (Take \( \pi^2 = 10 \))
A galvanometer has resistance \( G \) and range \( V_g \). How much resistance is required to read voltage up to \( V \) volts?
The maximum error in the measurement of mass and length is 4% and 3% respectively. The error in the measurement of density of a cube will be
If two sources emit light waves of different amplitudes then in interference pattern
The radius of the orbit of a geostationary satellite is (mean radius of the earth is \( R \), angular velocity about an axis is \( \omega \), and acceleration due to gravity on earth's surface is \( g \))
A thin circular ring of mass \( M \) and radius \( R \) is rotating about a transverse axis passing through its centre with constant angular velocity \( \omega \). Two objects each of mass \( m \) are attached gently to the opposite ends of a diameter of the ring. What is the new angular velocity?