List of top Questions asked in MHT CET

Two long thin parallel wires carrying current \( I \) separated by a distance \( d \) exert force \( F \) on one another. The distance between them is doubled and the current is decreased to \( \frac{1}{3} \). The force they exert on one another is

Two parallel plates separated by a distance \( d \) are kept at potential difference \( V \) volt. A charge \( q \) of mass \( m \) enters in parallel plates with some velocity. The acceleration of the charged particle will be

A spring has length \( L \) and force constant \( K \). It is cut into two springs of length \( L_1 \) and \( L_2 \) such that \( L_1 = N L_2 \) (N is an integer). The force constant of the spring of length \( L_1 \) is

In vacuum, light takes time \( t \) to travel a distance \( d \) and it takes time \( T \) to travel a distance \( 5d \) in a denser medium. The critical angle of the given pair of media is

Two coherent monochromatic light beams of intensities 4I and 9I are superposed. The maximum and minimum possible intensities in the resulting beam are

A bomb at rest explodes into three parts of same mass. The momentum of two parts is \( -3 \, P_i \) and \( 2 \, P_j \) respectively. The magnitude of the momentum of third part is

The initial pressure and volume of a gas is \( P \) and \( V \) respectively. First, by isothermal process, gas is expanded to volume \( 9V \), and then by adiabatic process its volume is compressed to \( V \). Then its final pressure is (Ratio of specific heat at constant pressure to constant volume \( \gamma = \frac{3}{2} \))

‘n’ number of waves are produced on a string in 0.5 second. Now the tension in a string is doubled (keeping radius constant). The number of waves produced in 0.5 second for the same harmonic will be

An electron in a stationary Bohr orbit of hydrogen atom jumps from 4th energy level to the ground state. The velocity that the photon acquired as a result of electron transition will be (h = Planck's constant, R = Rydberg's constant, m = mass of photon)

When Young's double slit experiment is performed in liquid, 8\(^\text{th}\) bright band is found to lie where 5\(^\text{th}\) dark band lies in air. Refractive index of liquid is

In Boolean algebra the output \( C \) and the inputs \( A \) and \( B \) are related as \( C = \overline{A \cdot B} \). The logic gate corresponding to this equation is

The range of the voltmeter is \( V \) when \( 50 \, \Omega \) resistance is connected in series. Its range gets doubled when \( 500 \, \Omega \) resistance is connected in series. The resistance of the voltmeter is

The upward force of 10\(^5\) dyne due to surface tension is balanced by the force due to the weight of the water column and \( h \) is the height of water in the capillary. The inner circumference of the capillary is (Surface tension of water = \( 7 \times 10^{-2} \) N/m)

A stretched string under tension fixed at both ends vibrates in the 4th harmonic. The equation of the stationary wave is \( Y = 3 \sin(200\pi t) \cos(0.4x) \), where \( x \) and \( y \) are in cm and \( t \) in seconds. The length of the vibrating string is

The resonance tube is filled with a liquid of density higher than that of water, then the resonating frequency

If \( f \) is the number of degrees of freedom of a molecule of a gas and ratio of molar specific heats of a gas, \( \gamma = 1 + \frac{2}{f} \) where \( \gamma = \frac{C_p}{C_v} \). The ratio of \( \gamma \) for monoatomic gas to \( \gamma \) for (rigid) diatomic gas is

A capacitor \( C_1 = 4 \, \mu F \) is connected in series with another capacitor \( C_2 = 1 \, \mu F \). The combination is connected across a d.c. source of 200 V. The ratio of potential across \( C_2 \) to that across \( C_1 \) is

In potentiometer experiment, for a given current, the balancing length for a cell is obtained at \( L \) cm. If the current through potentiometer wire is decreased, then the balancing length will

In non-uniform circular motion, the ratio of tangential acceleration to radial acceleration is \( (r = \) radius of circle, \( V = \) speed and \( \alpha = \) angular acceleration)

When light of wavelength \( \lambda \) is incident on a photosensitive surface, the stopping potential is \( V \). When light of wavelength \( 3\lambda \) is incident on the same surface, the stopping potential is \( \frac{V}{6} \). Threshold wavelength for the surface is

In hydrogen atom, the product of the angular momentum and the linear momentum of the electron is proportional to \( (n = \) principal quantum number)

A wire of length \( L \), mass \( M \), density \( \rho \), radius \( R \) is stretched by a certain load. If \( r \) and \( \ell \) are the changes in radius and length respectively, then Poisson's ratio is

In a parallelogram shown below, \( a^2 + b^2 = ? \)

Find the intensity of magnetization of a magnet with moment \( 4 \, \text{Am}^2 \) which weighs 50 grams. (Density of the material of a magnet = 5000 kg/m\(^3\))

A transistor is used as a common emitter amplifier with a load resistance of 2 k\(\Omega\). The input resistance is 150 \(\Omega\). Base current is changed by 20 \(\mu A\), which results in a change in collector current by 1.5 mA. The amplified voltage gain of the amplifier is