List of top Questions asked in MHT CET

A particle of mass \( m \) is rotating in a horizontal circle of radius \( r \) with uniform velocity \( \mathbf{V} \). The change in its momentum at two diametrically opposite points will be:

In hydrogen atom, during the transition of electron from \( n \)th outer orbit to first Bohr orbit, a photon of wavelength \( \lambda \) is emitted. The value of \( n \) is: [\( R \) = Rydberg's constant]

In a series LCR circuit at resonance, the applied e.m.f. of the source and current in the circuit are:

The length of antenna required to transmit the signals of frequency \( 1.5 \times 10^8 \) Hz is [velocity of light in air, \( c = 3 \times 10^8 \, \text{m/s} \)]

When a ray of light is refracted from one medium to another, then the wavelength changes from 6000 Å to 4000 Å. The critical angle for the interface will be:

If \( I \) is the moment of inertia and \( L \) is angular momentum of a rotating body, then \( \frac{L^2}{2I} \) is its:

If the frequency of oscillation of a simple pendulum in simple harmonic motion is \( n \), then frequency of oscillation of simple pendulum when length is 4 times is:

Following graph shows the variation of load (\( W \)) versus elongation (\( l \)) for four wires of the same length and material represented by lines OP, OQ, OR, and OS. Which line represents the thickest wire?

The bob of a simple pendulum is released at time \( t = 0 \) from a position of small angular displacement. Its linear displacement is \( l \) (length of simple pendulum) and \( g \) (acceleration due to gravity), \( A \) = amplitude of S.H.M.

The sensitivity of a milliammeter of range 0 to 50 mA is \( \frac{x}{\text{div}} \, \text{mA} \). If it is converted into an ammeter of range 500 mA by using a suitable shunt then the sensitivity will be:

Let the physical quantity be \( x = \frac{a^3b^2}{c} \). If the percentage error in the measurement of \( a \), \( b \), and \( c \) is 2%, 3%, and 4% respectively, then the percentage error in the measurement of \( x \) is:

The phase difference between the voltage and the current in an a.c. circuit is \( \frac{\pi}{4} \). If the frequency is 50 Hz, then the phase difference is equivalent to a time of:

A particle of mass 4 gram moves along a circle of radius \( 10^2 / 2\pi \) cm with constant tangential acceleration. After beginning of the motion, by the end of second revolution, the kinetic energy of the particle becomes \( 18 \times 10^{-5} \) J. The magnitude of tangential acceleration is:

A block of mass \( m \) moving on a frictionless surface at speed \( V \) collides elastically with a block of same mass, initially at rest. Now the first block moves at an angle \( \theta \) with its initial direction and has speed \( V_1 \). The speed of the second block after collision is:

In the following circuit, what is the voltage across PQ?

A charge \( q \) is circulating with constant speed \( V \) in a semi-circular loop of wire of radius \( R \). The magnetic moment of this loop is:

Which graph shows the variation of magnetic susceptibility (\( \chi \)) with magnetising field (\( H \)) for a paramagnetic substance?

Find the dimensions of the quantity \( x \) in the equation \( T = 2\pi \left( \frac{ML^3}{3XY} \right)^{\frac{1}{2}} \), where \( T \) is the time period, \( M \) is mass, \( L \) is length, and \( Y \) is the Young’s modulus.

When an unknown resistance $X$ is connected in the left gap of a meter bridge and a known resistance $R$ in the right gap, null point is obtained at $40\ \text{cm}$ from the left end. If a $2\ \Omega$ resistance is connected in series with $X$, the null point shifts towards right by $10\ \text{cm}$, with same resistance in right gap. The value of $X$ must be

A bullet of mass $20\ \text{gram}$ is fired from a gun of mass $2.5\ \text{kg}$ with a speed of $750\ \text{m/s}$. The magnitude of recoil velocity of the gun is

A stationary sound wave has a frequency of $165\ \text{Hz}$. If the speed of sound in air is $330\ \text{m/s}$, then the distance between a node and the adjacent antinode is

A galvanometer having a resistance of $180\ \Omega$ is shunted by a wire of resistance $2\ \Omega$. If the total current passing through the combination is $2\ \text{A}$, then current through shunt will be

A resonance tube closed at one end is of height $1.5\ \text{m}$. A tuning fork of frequency $340\ \text{Hz}$ is vibrating above the tube. Water is poured in the tube gradually. The minimum height of water for which resonance is obtained is (Neglect end correction. Speed of sound in air = $340\ \text{m/s}$)

For a certain organ pipe, three successive resonant frequencies are heard as $300\ \text{Hz}$, $420\ \text{Hz}$ and $540\ \text{Hz}$. If the speed of sound in air is $360\ \text{m/s}$, then the pipe is a

A plane surface of area $200\ \text{cm^2}$ is kept in a uniform electric field of intensity $200\ \text{N/C}$. If the angle between the normal to the surface and the field is $60^\circ$, then the electric flux through the surface is $\left[\cos 60^\circ = \dfrac{1}{2}\right]$