List of top Questions asked in MHT CET

The value of acceleration due to gravity at a depth 'd' from the surface of earth and at an altitude 'h' from the surface of earth are in the ratio

A magnetic field of $2 \times 10^{-2}\,\text{T}$ acts at right angles to a coil of area $100\,\text{cm}^2$ with 50 turns. The average e.m.f. induced in the coil is $0.1\,\text{V}$ when it is removed from the field in time $t$. The value of $t$ is

The alternating e.m.f. induced in the secondary coil of a transformer is mainly due to

In Young's double slit experiment, the $8^{\text{th}}$ maximum with wavelength $\lambda_1$ is at a distance $d_1$ from the central maximum and the $6^{\text{th}}$ maximum with wavelength $\lambda_2$ is at a distance $d_2$. Then $\frac{d_2}{d_1}$ is

The bob of a simple pendulum of length 'L' is released from a position of small angular displacement $\theta$. Its linear displacement at time 't' is ($g =$ acceleration due to gravity)

A sphere, a cube and a thin circular plate all made of same material and having the same mass are heated to same temperature of $200^\circ$C. On these are left in a room.

Considering earth to be a sphere of radius $R$ having uniform density $\rho$, then value of acceleration due to gravity $g$ in terms of $R,\rho$ and $G$ is

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?

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 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

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

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)

By adding soluble impurity in a liquid, angle of contact