List of top Questions asked in MHT CET

Let force \( F = A \sin(Ct) + B \cos(Dx) \) where \( x \) and \( t \) are displacement and time respectively. The dimensions of \( \frac{C}{D} \) are same as dimensions of

In diffraction experiment, from a single slit, the angular width of the central maxima does NOT depend upon

A vehicle of mass \( M \) is moving with momentum \( P \) on a rough horizontal road. The coefficient of friction between the tyres and the horizontal road is \( \mu \). The stopping distance is
\textit{(g = acceleration due to gravity)}

For a particle performing simple harmonic motion, when displacement is \( x \), the potential energy and restoring force acting on it is denoted by \( E \) and \( F \) respectively. The relation between \( x \), \( E \), and \( F \) is

A bullet of mass \( m \) moving with velocity \( v \) is fired into a wooden block of mass \( M \). If the bullet remains embedded in the block, the final velocity of the system is

An alternating e.m.f. of 0.2 V is applied across an LCR series circuit having \( R = 4 \, \Omega \), \( C = 80 \, \mu \text{F} \), and \( L = 200 \, \text{mH} \). At resonance, the voltage drop across the inductor is

Surface density of charge on a charged conducting sphere of radius \( R \) in terms of electric intensity \( E \) at a distance \( r \) in free space is
\textit{(where \( r>R, \, \epsilon_0 \) is permittivity of free space)}

For a gas, \( \frac{R}{C_V} = 0.4 \), where \( R \) is universal gas constant and \( C_V \) is the molar specific heat at constant volume. The gas is made up of molecules which are

An electron (\( e \)) is revolving in a circular orbit of radius \( r \) in a hydrogen atom. The angular momentum \( M \) of the electron is
\textit{(where \( M \) = magnetic dipole moment associated with it and \( m \) = mass of the electron)}

Two identical bar magnets each of magnetic moment \( M \), separated by some distance are kept perpendicular to each other. The magnetic induction at a point at the same distance \( d \) from the centre of magnets, is
\textit{( \( \mu_0 \) = permeability of free space)}

The maximum velocity of the photoelectron emitted by the metal surface is \( V \). Charge and mass of the photoelectron are denoted by \( e \) and \( m \) respectively. The stopping potential in volt is

When a photon enters glass from air, which one of the following quantity does NOT change?

Two small drops of mercury each of radius \( R \) coalesce to form a large single drop. The ratio of the total surface energies before and after the change is

Two identical strings of length \( l \) and \( 2l \) vibrate with fundamental frequencies \( N \) hertz and \( 1.5N \) hertz, respectively. The ratio of tensions for smaller length to larger length is

The force acting on the electrons in hydrogen atom (Bohr’s theory) is related to the principle quantum number \( n \) as

When open pipe is closed from one end then third overtone of closed pipe is higher in frequency by 150 Hz than second overtone of open pipe. The fundamental frequency of open end pipe will be

Using Bohr’s quantization condition, what is the rotational energy in the second orbit for a diatomic molecule? (I = moment of inertia of diatomic molecule, \( h \) = Planck’s constant)

In common emitter amplifier, input resistance is \( 1000 \, \Omega \), peak value of input signal voltage is 5 mV and \( \beta = 60 \). The peak value of output current is

A monoatomic gas of pressure \( P \) having volume \( V \) expands isothermally to a volume \( 2V \) and then adiabatically to a volume \( 16V \). The final pressure of the gas is
\textit{(Ratio of specific heats = \( \frac{5}{3} \))}

A ray of light is incident at an angle \( i \) on one face of a prism of small angle \( A \) and emerges normally from the other surface. \( \mu \) is the refractive index of the material of the prism. The angle of incidence is

A moving body is covering distances which are proportional to the square of the time. Then the acceleration of the body is

Water rises in a capillary tube of radius \( r \) upto a height \( h \). The mass of water in a capillary is \( m \). The mass of water that will rise in a capillary of radius \( \frac{r}{4} \) will be

An ammeter of resistance 20 \( \Omega \) gives full scale deflection when 1 mA current flows through it. What is the maximum current that can be measured by connecting 4 resistors each of 16 \( \Omega \) in parallel with the meter?

The magnifying power of a telescope is high if its objective and eyepiece have respectively

A solid cylinder of radius \( R \) and mass \( M \) rolls down an inclined plane of height \( h \). When it reaches the bottom of the plane, its rotational kinetic energy is
\textit{(g = acceleration due to gravity)}