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Now In this particular Post of IIT JAM Physics Test Series, you will get a test of the topic Electrostatics of Chapter Electricity and Magnetism. There are total 15 Questions given below also Answers are attached at the end of the test so that you can verify your answers after completing the test. So, Practice these Questions and Do your Best. Also Solve **IIT JAM Physics Previous Year Question Paper**. And Don’t Forget to Share with Your Friends.

**[Free] IIT JAM Physics Test Series 2023 : Electricity and Magnetism – (***Electrostatics***)**

**Q1. Two point charges +q _{1} and +q_{2} are fixed with a finite distance ‘d’ between them. It is desired to put a third charge q_{3} in between these two charges on the line joining them so that the charge q_{3} is in equilibrium . That is : **

*(a) Possible only if q*_{3}is positive*(b) Possible only if q*_{3}is negative*(c) Possible irrespective of the sign of q*_{3}*(d) Not possible at all*

**Q2. Five negative electric charges of magnitude e are placed symmetrically on a circle of radius R. The magnitude of the electric field at the center of the circle is **

*(a)*^{e}/_{4πεoR2}*(b) 0**(c)*^{e}/_{4πεoR2}sin^{2π}/_{5}*(d)*^{5e}/_{4πεoR2}

*Q3. A thin spherical oil drop carrying a net charge q is balanced in still air with a vertical uniform electric field of strength ^{81}/_{7} × 10^{5} Vm^{-1} . When the field is switched off the drop is observed to fall with terminal velocity 2 × 10^{-3} ms^{-1} . Given, g = 9.8 m/s^{2}, viscosity of the air = 1.8 × 10^{-5} Ns/m^{2} and the density of oil = 900 kg m^{-3}, the magnitude of q is *

*(a) 1.6 × 10*^{-19}C*(b) 3.2 × 10*^{-19}C*(c) 4.8 × 10*^{-19}C*(d) 8.0 × 10*^{-19}C

**Q4. A charge q is at the center of two concentric spheres. The outward electric flux through the inner sphere is φ while that through the outer sphere is 2φ. The amount of charge contained in the region between the two spheres is **

*(a) 2q**(b) q**(c) -q**(d) -2q*

**Q5. A sphere of radius R and a uniform total Charge Q is centered at origin, total electric flux through a Gaussian sphere of radius R centered at (0,0,d) is**

*(a) zero if d > 2R**(b)*^{Q}/_{εo}if d = 0*(c)*^{Q}/_{2εo}if d = R*(d)*^{Q}/_{2εo}if d < R

**Q6. If the electric flux through a closed surface S is equal to zero, then**

*(a) the volume charge density is zero everywhere inside the surface S**(b) the electric field at every point on S is zero.**(c) the electric field is zero at every point inside S**(d) the net charge enclosed by S is zero*

**Q7. Electric Potential in a particular region of space is V = 5x – 3x²y + 2yz². The magnitude of electric field at point P(m,0,-2m) is **

*(a) 5 N/C**(b) 6 N/C**(c) 7.08 N/C**(d) 9.0 N/C*

**Q8. A uniform electric field pointing in positive x-direction exists in a region. Let A be the origin, B be the point on x-axis at x = +1 cm and C be the point on the y-axis at y = +1 cm. Then the potentials at the points A, B and C Satisfy**

*(a) V*_{A}< V_{B}*(b) V*_{A}> V_{B}*(c) V*_{A}< V_{C}*(d) V*_{A}> V_{C}

*Q9. Electric potential in region is V(r) = Ar ^{3} + B . Charge enclosed by a sphere of radius R is centered at origin is Q_{o} . Charged enclosed by concentric sphere of radius 2R is *

*(a) Q*_{o}*(b) 4Q*_{o}*(c) 16Q*_{o}*(d) 32Q*_{o}

*Q10. A ring of radius R has charge density +λ on one half and -λ on the other half. Its dipole moment is *

*(a) 4λR²**(b) 2λR²**(c) 3λR²**(d) λR²*

**Q11. Two point charges q and -2q lie at x = -a and x = +a respectively. Which of the following statements is/are correct **

*(a) There is only one neutral point on x-y plane**(b) At large distance r>>a*^{E(r)}/_{E(2r)}= 4*(c) Equipotential lines on x-y plane are circles**(d) Electric flux through y-z plane is*^{3q}/_{2εo}

**Q12. Three concentric metallic spherical shells of radii R, 2R, 3R are given charges Q _{1}, Q_{2}, Q_{3} respectively. It is found that the surface charge densities on the outer surface of the shells are equal. Then, the ratio of the charges given to the shells Q_{1} : Q_{2} : Q_{3} is**

*(a)*1 : 2 : 3*(b)*1 : 3 : 5*(c)*1 : 4 : 9*(d)*1 : 8 : 18

**Q13. A steady current in a straight conducting wires produces a surface charge on it. Let E _{out} and E_{in} be the magnitudes of the electric fields just outside and just inside respectively. Which of the following statements is true for these fields ?**

*(a) E*_{out}is always greater than E_{in}*(b)**E*_{out}is always smaller than E_{in}*(c)**E*_{out}could be greater or smaller than E_{in}*(d) E*_{out}is equal to E_{in}

*Q14. A charge q is placed at the centre of an otherwise neutral dielectric sphere of radius ‘a’ and relative permittivity ε _{r} . We denote the expression ^{q}/_{4πεor²} by E(r). Which of the following statement is false ?*

*(a) The electric field inside the sphere, r<a, is given by E(r)**(b) The field Outside the sphere, r>a, is given by E(r)**(c) The total charge inside a sphere of radius r>a is given by q.**(d) The total charge outside a sphere of radius r<a is given by q.*

**Q15. A bound volume charge density inside the sphere at a distance r from the centre is :**

*(a) -4kR**(b) -4kr**(c) -4kr²**(d) -4kr*^{3}

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*Answer Key* (if you find any answer wrong, feel free to Correct us)

*Answer Key*

01. | (b) | 06. | (d) | 11. | (a), (b), (d) |

02. | (b) | 07. | (c) | 12. | (b) |

03. | (b) | 08. | (b) | 13. | (a) |

04. | (c) | 09. | (c) | 14. | (d) |

05. | (a), (b) | 10. | (a) | 15. | (b) |

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