List of top Questions asked in MHT CET

A solenoid of length $0.4$ m and having $500$ turns of wire carries a current $3$ A. A thin coil having $10$ turns of wire and radius $0.1$ m carries a current $0.4$ A. The torque produced to hold the coil in middle of solenoid with its axis perpendicular to the axis of the solenoid is $(\mu_0=4\pi\times10^{-7}$ SI units, $\pi^2=10$, $\sin90^\circ=1)$

A uniformly charged semicircular arc of radius $r$ has linear charge density $\lambda$. The electric field at its centre is $(\varepsilon_0 =$ permittivity of free space$)$

For emission of light, a light emitting diode (LED) is

In semiconductors at room temperature,

If the radius of the first Bohr orbit is $r$, then the de Broglie wavelength of the electron in the $4^{\text{th}}$ orbit is

The temperature of a gas is $-68^\circ$C. To what temperature should it be heated, so that the r.m.s. velocity of the molecules becomes doubled?

A string of length $L$ fixed at one end carries a body of mass $m$ at the other end. The mass is revolved in a circle in horizontal plane making angle $\theta$ with vertical. The angular frequency of the body is $\omega$. The tension in the string is

The reciprocal of the total effective resistance of LCR a.c. circuit is called

A combination of two thin lenses in contact have power $+10$D. The power reduces to $+6$D when the lenses are $0.25$ m apart. The power of individual lenses is

A body is said to be opaque to the radiation if $(a,r,t)$ are coefficient of absorption, reflection and transmission respectively.

In a thermodynamic system, $\Delta U$ represents the increase in internal energy and $dW$ the work done by the system. Then correct statement is

If the radius of the first Bohr orbit is $r$, then the de Broglie wavelength of the electron in the $4^{\text{th}}$ orbit will be

A progressive wave is given by $Y = 12 \sin(5t - 4x)$. On this wave, how far apart are two points having a phase difference of $90^\circ$?

For a purely inductive or a purely capacitive circuit, the power factor is

The electric field intensity on the surface of a solid charged sphere of radius 'r' and volume charge density '$\rho$' is ($\epsilon_0 =$ permittivity of free space)

The potential energy of a molecule on the surface of a liquid compared to the molecules inside the liquid is

The de-Broglie wavelength ($\lambda$) of a particle is related to its kinetic energy ($E$) as

On a dry road, the maximum speed of a vehicle along a circular path is $V$. When the road becomes wet, the maximum speed becomes $\frac{V}{2}$. If the coefficient of friction of the dry road is $\mu$, then that of the wet road is

Which of the following combination of 7 identical capacitors each of $2\,\mu F$ gives a capacitance of $\frac{10}{11}\,\mu F$?

For a common emitter configuration, if '$\alpha$' and '$\beta$' have their usual meanings, the incorrect relation between '$\alpha$' and '$\beta$' is

By adding soluble impurity in a liquid, angle of contact

A simple pendulum of length 'l' and a bob of mass 'm' is executing S.H.M. of small amplitude 'A'. The maximum tension in the string will be ($g =$ acceleration due to gravity)

A wire of length 3 m connected in the left gap of a meter-bridge balances 8$\Omega$ resistance in the right gap at a point, which divides the bridge wire in the ratio 3: 2. The length of the wire corresponding to resistance of 1$\Omega$ is

A particle moves around a circular path of radius 'r' with uniform speed 'V'. After moving half the circle, the average acceleration of the particle is

A string is stretched between two rigid supports separated by 75 cm. There are no resonant frequencies between 420 Hz and 315 Hz. The lowest resonant frequency for the string is