- This question paper contains
**55**questions out of which**45**questions are to be attempted. All questions carry equal marks. - This question paper consists of
**three**sections , Section A, Section B and Section C. - Section
**A**contains**25**questions. Attempt any**20**questions from Q. No.**1**to**25**. - Section
**B**contains**24**questions. Attempt any**20**questions from Q. No.**26**to**49**. - Section
**C**contains**6**questions. Attempt any**5**questions from . No.**50**to**55**. - The first
**20**questions in Section A and Sections B and first**5**questions attempted in Section**C**by a candidate will be evaluated. - There is only
**one**correct option for every multiple choice question (MCQ). Marks will not be awarded for answering more than one option. - There is no negative marking.

This Section consists of **25** multiple choice questions with overall choice to attempt any **20** questions. In case more than desirable number of questions are attempted, only first **20** questions will be considered for evaluation.

- positively charged only
- negatively charged only
- neutral or positively charged
- neutral or negatively charged

Ans. (c)

- +5e, -4e, +5e
- +6e, +6e, -7e
- -4e, +3.5e, +5.5e
- +5e, -8e, +7e

Ans. (b)

- -0.80 C
- +0.80 C
- +1.80 C
- +0.20 C

Ans. (d)

- conservation of momentum and conservation of charge
- conservation of energy, conservation of charge
- conservation of charge, conservation of momentum
- conservation of charge, conservation of energy

Ans. (a)

- 25 W
- 30 W
- 35 W
- 45 W

Ans. (a)

- metal
- metal and semiconductor
- semiconductor
- metal and alloy

Ans. (c)

- I
- II
- III
- IV

Ans. (b)

- $6.4\times {10}^{-5}\mathrm{N}/\mathrm{m}$
- $6.4\times {10}^{-2}\mathrm{N}/\mathrm{m}$
- $4.6\times {10}^{\u20134}\mathrm{N}/\mathrm{m}$
- $3.2\times {{10}^{\u20134}}^{}\mathrm{N}/\mathrm{m}$

Ans. (d)

- low resistance in parallel
- low resistance in series
- high resistance in parallel
- high resistance in series

Ans. (d)

- $2\sqrt{2}$
- $\frac{1}{\sqrt{2}}$
- $\sqrt{2}$
- 2

Ans. (a)

- 95 mH
- 90 mH
- 85 mH
- 75 mH

Ans. (d)

- $\frac{\mathbf{15}}{\sqrt{\mathbf{2}}}\mathrm{A}$
- $15\sqrt{2}\mathrm{A}$
- $\frac{\sqrt{2}}{15}\text{A}$
- 8 A

Ans. (a)

- only C
- only L
- L and R
- L or C

Ans. (c)

- 6 V/m along -x-axis
- 6 V/m along +x-axis
- 1.5 V/m along -x-axis
- 1.5 V/m along +x-axis

Ans. (a)

Ans. (d)

- 1 $\text{\mu F}$
- 2 $\text{\mu F}$
- 3 $\text{\mu F}$
- 4 $\text{\mu F}$

Ans. (a)

- $1.25\times {10}^{19}$
- $2.5\times {10}^{18}$
- $1.25\times {10}^{18}$
- $2.5\times {10}^{16}$

Ans. (a)

- $\mathrm{R}+{\mathrm{X}}_{\mathrm{L}}+{\mathrm{X}}_{\mathrm{C}}$
- $\sqrt{\frac{1}{{\mathrm{X}}_{\mathrm{C}}^{2}}+\frac{1}{{\mathrm{X}}_{\mathrm{L}}^{2}}+{\mathrm{R}}^{2}}$
- $\sqrt{{\mathrm{X}}_{\mathrm{L}}^{2}-{\mathrm{X}}_{\mathrm{C}}^{2}+{\mathrm{R}}^{2}}$
- $\sqrt{{\mathrm{R}}^{2}+{\left({\mathrm{X}}_{\mathrm{L}}-{\mathrm{X}}_{\mathrm{C}}\right)}^{2}}$

Ans. (d)

- E
_{rms}. I_{rms} - E
_{0}I_{0} - $\frac{{\mathrm{E}}_{0}{\mathrm{I}}_{0}}{\sqrt{2}}$
- Zero

Ans. (d)

- perpendicular to the magnetic field
- parallel to the magnetic field
- at an angle of 45° to the magnetic field
- at an angle of 60° to the magnetic field

Ans. (a)

- 5 V
- 20 V
- 25 V
- 65 V

Ans. (c)

- positive to negative terminal and negative to positive terminal
- positive to negative terminal and positive to negative terminal
- negative to positive terminal and positive to negative terminal
- negative to positive terminal and negative to positive terminal

Ans. (c)

- $\frac{\mathrm{E}}{4}$
- 0
- 2E
- 4E

Ans. (c)

- 30°
- 45°
- 60°
- 90°

Ans. (c)

- 50 V
- 75 V
- 100 V
- 220 V

Ans. (a)

- a
^{4}c - $\frac{1}{3}{\mathrm{a}}^{3}\mathrm{c}$
- $\frac{1}{3}{\mathrm{a}}^{4}\mathrm{c}$
- 0

Ans. (a)

- 0
- $\frac{2{\mathrm{Kqq}}_{0}}{{\mathrm{a}}^{2}}$
- $\frac{\sqrt{2}{\mathrm{Kqq}}_{0}}{{\mathrm{a}}^{2}}$
- $\frac{1}{\sqrt{2}}\frac{{\mathrm{Kqq}}_{0}}{{\mathrm{a}}^{2}}$

Ans. (c)

- 1.29 x 10
^{-5}J - 3.6 x 10
^{5}J - -4.5 x 10
^{-7}J - 4.5 x 10
^{-7}J

Ans. (d)

- 6.0 x 10
^{4}C - 5.8 x 10
^{3}J - 8.64 x 10
^{6}J - 1.6 x 10
^{6}C

Ans. (a)

- $\frac{\mathrm{mgB}}{l}$
- $\frac{\mathrm{mg}l}{\mathrm{B}}$
- $\frac{\mathrm{mg}}{l\mathit{}\mathrm{B}}$
- $\frac{l\mathit{}\mathrm{B}}{\mathrm{mg}}$

Ans. (c)

- The magnetic field at the centre
- The magnetic flux linked with the solenoid
- The rate of heating
- The self-inductance of the solenoid

Ans. (c)

- L, C and R
- L and C
- L and R
- R and C

Ans. (a)

- $\frac{\mathrm{n}{\mathrm{e}}^{2}\mathrm{A}}{3\mathrm{m}\tau l}$
- $\frac{\mathrm{m}l}{\mathrm{n}{\mathrm{e}}^{2}\mathrm{\tau A}}$
- $\frac{\mathrm{m}\mathrm{\tau A}}{\mathrm{n}{\mathrm{e}}^{2}l}$
- $\frac{\mathrm{n}{\mathrm{e}}^{2}\mathrm{\tau A}}{2\mathrm{m}\mathit{}l}$

Ans. (b)

- $\frac{3}{4}$
- $\frac{4}{3}$
- $\frac{8}{9}$
- $\frac{9}{8}$

Ans. (d)

- $5\sqrt{3}\mathrm{V}$
- $50\sqrt{3}\mathrm{V}$
- 5.0 V
- 50.0 V

Ans.(c)

- 100 $\mathrm{\mu F}$
- 127 $\mathrm{\mu F}$
- 142 $\mathrm{\mu F}$
- 160 $\mathrm{\mu F}$

Ans. (b)

- $\frac{\mathrm{F}}{7}$
- $\frac{\mathrm{F}}{5}$
- $\frac{\mathrm{F}}{3}$
- $\frac{\mathrm{F}}{2}$

Ans. (b)

- $\frac{{\mathrm{r}}_{1}+{\mathrm{r}}_{2}}{{\mathrm{r}}_{2}-{\mathrm{r}}_{1}}$
- ${\mathrm{r}}_{2}-{\mathrm{r}}_{1}$
- $\frac{{\mathrm{r}}_{1}{\mathrm{r}}_{2}}{{\mathrm{r}}_{2}-{\mathrm{r}}_{1}}$
- $\frac{{\mathrm{r}}_{1}+{\mathrm{r}}_{2}}{{\mathrm{r}}_{2}{\mathrm{r}}_{1}}$

Ans. (b)

- Magnetic field lines do not form closed loops.
- Magnetic field lines start from north pole and end at south pole of a magnet.
- The tangent at a point on a magnetic field line represents the direction of the magnetic field at that point.
- Two magnetic field lines may intersect each other.

Ans. (c)

- 3R $\mathrm{\Omega}$
- $\left(\frac{3}{2}\right)\mathrm{R}\mathrm{\Omega}$
- 2R $\mathrm{\Omega}$
- $\left(\frac{2}{3}\right)\mathrm{R}\mathrm{\Omega}$

Ans. (c)

- 0 and MB
- MB and MB
- 0 and 0
- $\left|\overrightarrow{\mathrm{M}}\mathrm{x}\overrightarrow{\mathrm{B}}\right|\mathrm{and}0$

Ans. (c)

- 97.9 J
- 102.1 J
- 2.1 J
- -97.9 J

Ans. (a)

- 0.1 A
- 0.4 A
- 0.6 A
- 0.8 A

Ans. (b)

- flux leakage
- copper loss
- hysteresis loss
- eddy current

Ans. (d)

Question No. **45** to **49** are **Assertion (A)** and **Reason (R)** type questions. Given below are the two statements labelled as **Assertion (A)** and **Reason (R)**. Select the most appropriate answer from the options given below as:

- Both a. and (R) are true and (R) is correct explanation of a.
- Both a. and (R) are true and (R) is not correct explanation of a.
- (A) is true, but (R) is false.
- (A) is false and (R) is also false.

Ans. (d)

Ans. (a)

Ans. (a)

Ans. (c)

Ans. (d)

- spheres
- planes
- ellipsoids
- paraboloids

Ans. (a)

- $\frac{1}{4\mathrm{\mu}{\in}_{0}}\frac{2q}{L}\left(1-\frac{1}{\sqrt{5}}\right)$
- $\frac{1}{4\mathrm{\mu}{\in}_{0}}\frac{2q}{L}\left(1+\frac{1}{\sqrt{5}}\right)$
- $\frac{1}{4\mathrm{\mu}{\in}_{0}}\frac{q}{2L}\left(1-\frac{1}{\sqrt{5}}\right)$
- zero

Ans. (a)

An experiment was set up with the circuit diagram shown in figure. Given that R_{1} = 10 $\mathrm{\Omega}$,
R_{2} = R_{3} = 5 $\mathrm{\Omega}$, r = 0 $\mathrm{\Omega}$ and E = 5 V

- b, c, d
- f, h, j
- d, e, f
- a, b, j

Ans. (b)

- 1 A
- $\frac{1}{3}\mathrm{A}$
- $\frac{1}{2}\mathrm{A}$
- $\frac{2}{3}\mathrm{A}$

Ans. (c)

- 2 W
- 2.5 W
- 3 W
- 4.5 W

Ans. (b)

- 1.5 V
- 2 V
- 2.5 V
- 3 V

Ans. (c)