Consider a set of two stationary point charges q1 and q2 as shown in the figure. Which of the following statements is correct? <img src="/images/question-image/engineering-physics/electromagnetic-theory/1689574701-consider-a-set-of-two-stationary-point.png" title="Electromagnetic Theory mcq question image" alt="Electromagnetic Theory mcq question image">

Four point charges are placed at the corners of a square whose centre is at the origin of a Cartesian coordinate system. A point dipole $$\overrightarrow {\bf{p}} $$ is placed at the centre of the square as shown in the figure. Then,
Electromagnetic Theory mcq question image

Electromagnetic Theory mcq question image

A

there is no force acting on the dipole

B

there is no torque about the centre at O on the dipole

C

the dipole has minimum energy if it is in $${{{\bf{\hat e}}}_x}$$ direction

D

the force on the dipole is increased if the medium is replaced by another medium with larger dielectric constant

Two charges q and 2q are placed along the X-axis in front of a grounded, infinite conducting plane, as shown in the figure. They are located respectively at a distance of 0.5 m and 1.5 m from the plane. The force acting on the charge q is
Electromagnetic Theory mcq question image

A

$$\frac{1}{{4\pi {\varepsilon _0}}}\frac{{7{q^2}}}{2}$$

B

$$\frac{1}{{4\pi {\varepsilon _0}}}2{q^2}$$

C

$$\frac{1}{{4\pi {\varepsilon _0}}}{q^2}$$

D

$$\frac{1}{{4\pi {\varepsilon _0}}}\frac{{{q^2}}}{2}$$

How far is point 'R' from Point 'T'? Statement (I): Point 'R' is 5 metres to the north of point 'M'. Point 'U' is 4 metres to the east of point 'R'. Point 'T' is to the west of point 'R' such that points 'U' 'R' and 'T' form a straight line of metres. Statement (II): Point 'Z' is metres to the south of point 'T'. Point 'U' is metres to the east of point 'T'. Point 'M' is metres to the east of point 'Z'. Point 'R' is metres to the north of point 'M'. Point 'R' lies on the line formed by joining points 'T' and 'U'.

A

Statement (I) and (III) are independently sufficient to answer the question.

B

Statement (I) and (II) are together required to answer the question.

C

Statement (I) alone is sufficient to answer the question while statement (II) is not sufficient to answer the question.

D

Statement (II) alone is sufficient to answer (I) is not sufficient to answer the question.

Point A is 3m in the north of point B. Point D is 2m in the east of point E. Point F is 9m in the west of point G. Point C is 4m in the west of point B. Point C is 3m in the south of point D. Point F is 5m in the south of point E. Point H is 5m in the north of point G. What is the shortest distance between point H and point A?

A

5m

B

4m

C

3m

D

6m

Four charges are placed at the four corners of a square of side a as shown in the figure. The electric dipole moment of this configuration is
Electromagnetic Theory mcq question image

A

$$\overrightarrow {\bf{p}} = qa{\bf{\hat i}} + qa{\bf{\hat j}}$$

B

$$\overrightarrow {\bf{p}} = - qa{\bf{\hat i}} + qa{\bf{\hat j}}$$

C

$$\overrightarrow {\bf{p}} = - qa{\bf{\hat i}} - qa{\bf{\hat j}}$$

D

$$\overrightarrow {\bf{p}} = qa{\bf{\hat i}} - qa{\bf{\hat j}}$$

Point P is 4m in the west of point V. Point R is 6m in the north of point Q. Point T is 5m in the south of point S. Point V is in the middle of point R and Q. Point U is 5m in the east of point R. Point V is in north of point Q. Point S is 5m in the east of point V. What is the area of triangle formed by point P, R and Q?

A

14m²

B

15m²

C

16m²

D

12m²

At the interface between two linear dielectrics (with dielectric constants $${{\varepsilon _1}}$$ and $${{\varepsilon _2}}$$), the electric field lines bend, as shown in the figure. Assume that there are no free charges at the interface. The ratio $$\frac{{{\varepsilon _1}}}{{{\varepsilon _2}}}$$ is
Electromagnetic Theory mcq question image

A

$$\frac{{\tan {\theta _1}}}{{\tan {\theta _2}}}$$

B

$$\frac{{\cos {\theta _1}}}{{\cos {\theta _2}}}$$

C

$$\frac{{\sin {\theta _1}}}{{\sin {\theta _2}}}$$

D

$$\frac{{\cot {\theta _1}}}{{\cot {\theta _2}}}$$

Garima starts walking towards the south from point R. He walks for 5m to reach Point S then turns right and walks for 2m to reach point T from there he turns left and walks for 3m to reach Point Z. He then turns right from point Z and walks for 6m to reach point Y and then turns right and walks for 3m to reach point X. He then turns right from point X and walks for 4m to reach point W and then turns left and walks for 5m to reach point V and then turns left and walks for 4m till point U and stops. What is the shortest distance between point V and point R?

A

4m

B

3m

C

5m

D

8m

Study the following information and answer the questions. Point A is 8m to the west of Point B. Point C is 4m to the south of Point B. Point D is 4m to the east of Point C. Point F is 6m to the north of Point D. Point E is 8m to the west of Point F. Point G is 2m to the south of Point E. How far and in which direction is Point G from Point A?

A

4m to the east

B

8m to the west

C

4m to the west

D

8m to the east

Study the following information and answer the questions. Point A is 8m to the west of Point B. Point C is 4m to the south of Point B. Point D is 4m to the east of Point C. Point F is 6m to the north of Point D. Point E is 8m to the west of Point F. Point G is 2m to the south of Point E. If point G is 4m to the north of Point H, then what is the distance between H and D?

A

11m

B

8m

C

6m

D

4m

Consider a set of two stationary point charges q₁ and q₂ as shown in the figure. Which of the following statements is correct?

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