List of top Questions asked in MHT CET

Five current carrying conductors meet at point P. What is the magnitude and direction of the current in conductor PQ?

A conducting sphere of radius $0.1\,\text{m}$ has uniform charge density $1.8\,\mu\text{C/m}^2$ on its surface. The electric field in free space at a radial distance $0.2\,\text{m}$ from the centre is ($\epsilon_0$ = permittivity of free space)

If $I_0$ is the intensity of the principal maximum in the single slit diffraction pattern, then what will be the intensity when the slit width is doubled?

The efficiency of a heat engine is '$\eta$' and the coefficient of performance of a refrigerator is '$\beta$'. Then

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)

The equation of the wave is $Y=10\sin\left(\dfrac{2\pi t}{30}+\alpha\right)$. If the displacement is $5$ cm at $t=0$ then the total phase at $t=7.5$ s will be $(\sin30^\circ=0.5)$

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 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,

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

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?

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 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

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