In the energy band diagram of a material as given below, the open circles and filled circles denote holes and electrons respectively. The material is a/an
A
insulator
B
metal
C
p-type semiconductor
D
n-type semiconductor
Answer
(c) p-type semiconductor Explanation: One can see in the figure that number of holes are greater than number of electrons. Hence it is p−type semi conductor.
A bar magnet having a magnetic moment of $2 \times 10^4 JT ^{-1}$ is free to rotate in a horizontal plane. A horizontal magnetic field $B =6 \times 10^{-4} T$ exists in the space. The work done in taking the magnet slowly from a direction
There are two coils A and B as shown in the figure. A current starts flowing in B as shown, when A is moved towards B and stops when A stops moving. The current in A is counter clockwise. B is kept stationary when A moves. We can infer that
A
there is a constant current in the counterclockwise direction in A.
B
there is a constant current in the clockwise direction in A.
C
there is a varying current in A.
D
there is no current in A.
Answer
(a) there is a constant current in the counterclockwise direction in A. Explanation: there is a constant current in the counterclockwise direction in A.
An electron with velocity $\vec{v}=\left(v_x \hat{i}+v_y \hat{j}\right)$ moves through a magnetic field $\vec{B}=\left(B_x \hat{i}-B_y \hat{j}\right)$. The force $\overrightarrow{ F }$ on the electron is: ( e is the magnitude of its charge)
A
$e\left(v_x B_y-v_y B_x\right) \hat{k}$
B
$-e\left(v_x B_y-v_y B_x\right) \hat{k}$
C
$-e\left(v_x B_y+v_y B_x\right) \hat{k}$
D
$e\left(v_x B_y+v_y B_x\right) \hat{k}$
Answer
(d) $e\left(v_x B_y+v_y B_x\right) \hat{k}$ Explanation: $e\left(v_x B_y+v_y B_x\right) \hat{k}$ The force is given as $- e ( v \times B )$.
A bar$-$magnet of the pole-strength $2 Amp - m$ is kept in a magnetic field of induction $4 \times 10^{-5} Wb / m ^2$ such that the axis of the magnet makes an angle $30^{\circ}$ with the direction of the field. If the couple acting on the magnet is found to be $80 \times 10^{-7} Nm$, then the distance between the poles of the magnet is:
✓
$20m$
B
$4m$
C
$2m$
D
$8m$
Answer
Correct option: A.
$20m$
$\tau=q_m \times 2 l \times B \sin \theta$
$\therefore 2 l=\frac{\tau}{q_m \times B \sin \theta}$
$=\frac{80 \times 10^{-7}}{2 \times 4 \times 10^{-5} \times \sin 30^{\circ}}=0.20 m=20 \ cm$
For a glass prism, the angle of minimum deviation will be smallest for the light of
A
blue colour
B
yellow colour
C
green colour
D
red colour.
Answer
(d) red colour. Explanation: For a glass prism, the angle of minimum deviation will be smallest for the light of red color. As wavelength of red color is maximum among all, hence, $\mu \propto \frac{1}{\lambda}$, hence $\mu$ is smaller. As $\mu$ decreases, angle of deviation decreases.
$m ^2 V^{-1} s^{-1}$ is the SI unit of which of the following?
A
Potential gradient
B
Mobility
C
Drift velocity
D
Resistivity
Answer
(b) Mobility Explanation: The charge carrier in most metals is the negatively charged electron. The mobility of the charge carrier is defined as the drift velocity of the charge carrier per unit electric field. It is denoted by $\mu$ and $\mu=v_d / E$ is given as. The Sl unit of $\mu$ is $m 2 V-1 s-1$.
In the circuit shown, the current through the ideal diode is:
A
100mA
B
20mA
C
25mA
D
75mA
Answer
(c) 25 mA Explanation: The given diode is ideal and forward-biased so there is short circuit. No current flow through the $20 \Omega$ and whole current flow through the short circuit. The current flow through the circuit is, $I =\frac{2 V}{80 \Omega}=25 mA$