List of top Questions asked in MET

In the figure shown below, which of the diodes are forward biased?}

The path difference between the two waves $y_{1} = a_{1}\sin \left(\omega t - \frac{2\pi x}{\lambda}\right)$ and $y_{2} = a_{2}\cos \left(\omega t - \frac{2\pi x}{\lambda} +\phi\right)$ is

An electric motor operates on a $50~\mathrm{V}$ supply and a current of $12\mathrm{A}$. If the efficiency of the motor is $30%$, what is the resistance of the winding of the motor?

Two long straight wires are set parallel to each other. Each carries a current in the same direction and the separation between them is $2r$. The intensity of the magnetic field mid-way between them is}

A galvanometer of resistance $20\Omega$ is to be converted into an ammeter of range $1\mathrm{A}$. If a current of $1\mathrm{mA}$ produces full scale deflection, the shunt required for the purpose is}

In a step-up transformer the voltage in the primary is $220\mathrm{V}$ and the current is $5\mathrm{A}$. The secondary voltage is found to be $22000\mathrm{V}$. The current in the secondary (neglect losses) is

In Young's double slit experiment, the intensity of light coming from one of the slits is double the intensity from the other slit. The ratio of the maximum intensity to the minimum intensity in the interference fringe pattern observed is

The distance between charges $5\times 10^{-11}\mathrm{C}$ and $-2.7\times 10^{-11}\mathrm{C}$ is $0.2\mathrm{m}$. The distance at which a third charge should be placed from the second charge in order that it will not experience any force along the line joining the two charges is

Small rain drops of the same size are charged to potential $V$ volt each. If $n$ such drops coalesce to form a single drop, then the potential of the bigger drop is

A small sphere is charged to a potential of $50\mathrm{V}$ and a big hollow sphere is charged to potential of $100\mathrm{V}$. Charge will flow from the smaller sphere to the bigger one when

If refractive index of a material of equilateral prism is $\sqrt{3}$, then angle of minimum deviation of the prism is}

A long solenoid of length $L$ has a mean diameter $D$. It has $n$ layers of winding of $N$ turns each. If it carries a current $i$, the magnetic field at its centre will be

A wire of length $100~\mathrm{cm}$ is connected to a cell of emf $2\mathrm{V}$ and negligible internal resistance. The resistance of the wire is $3\Omega$. The additional resistance required to produce a potential difference of $1\mathrm{mV / cm}$ is}

In the figure a carbon resistor has bands of different colours on its body as mentioned in the figure. The value of the resistance is}

The mass defect in a particular nuclear reaction is \(0.3 \, \text{g}\). The amount of energy liberated in kilowatt-hours is (velocity of light \( = 3 \times 10^8 \, \text{m/s}\)).

A photon and an electron have equal energy $E$. $\lambda_{\mathrm{photon}} / \lambda_{\mathrm{electron}}$ is proportional to

The magnitude of current $i$ in ampere unit is}

If $\omega$ is a cube root of unity, then $(1 + \omega - \omega^{2})(1 - \omega + \omega^{2})$ is

The complex numbers $z$ satisfying $\left|\dfrac{i+z}{i-z}\right| = 1$ lie on

If $A + B + C = \pi$, then $\begin{vmatrix} \sin(A+B+C) & \sin B & \cos C \\ \sin B & 0 & \tan A \\ \cos(A+B) & \tan A & 0 \end{vmatrix}$ equals

The minimum value of $x\log x$ is equal to

If $f''(0) = k$, then $\displaystyle\lim_{x\to 0} \dfrac{2f(x) - 3f(2x) + f(4x)}{x^{2}}$ equals

If $\displaystyle\int_{-1}^{4} f(x)\,dx = 4$ and $\displaystyle\int_{2}^{4} [3 - f(x)]\,dx = 7$, then $\displaystyle\int_{-1}^{2} f(x)\,dx$ equals

The equation of the curve passing through the origin and satisfying $\dfrac{dy}{dx} = (x - y)^{2}$ is

If $(\sqrt{3} - i)^{50} = 2^{48}(x - iy)$, then $x^{2} + y^{2}$ equals