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Two small spheres each having the charge +*Q* are suspended by insulating threads of length *L* from a hook. If this arrangement is taken in space where there is no gravitational effect, then the angle between the two suspensions and the tension in each will be:

1. ${180}^{o},$ $\frac{1}{4\pi {\epsilon}_{0}}\frac{{Q}^{2}}{{\left(2L\right)}^{2}}$

2. ${90}^{o},$ $\frac{1}{4\pi {\epsilon}_{0}}\frac{{Q}^{2}}{{L}^{2}}$

3. ${180}^{o},$ $\frac{1}{4\pi {\epsilon}_{0}}\frac{{Q}^{2}}{2{L}^{2}}$

4. ${180}^{o},$ $\frac{1}{4\pi {\epsilon}_{0}}\frac{{Q}^{2}}{{L}^{2}}$

Subtopic: Coulomb's Law |

68%

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Two charges \(+2\) C and \(+6\) C are repelling each other with a force of \(12\) N. If each charge is given \(-2\) C of charge, then the value of the force will be:

1. | \(4\) N (attractive) | 2. | \(4\) N (repulsive) |

3. | \(8\) N (repulsive) | 4. | zero |

Subtopic: Coulomb's Law |

77%

From NCERT

PMT - 1979

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Five balls numbered 1 to 5 are suspended using separate threads. Pairs (1, 2), (2, 4), and (4, 1) show electrostatic attraction, while pairs (2, 3) and (4, 5) show repulsion. Therefore ball 1 must be:

1. positively charged.

2. negatively charged.

3. neutral.

4. made of metal.

Subtopic: Coulomb's Law |

67%

From NCERT

PMT - 2003

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An infinite number of charges, each of charge 1 *μC*, are placed on the *x*-axis with co-ordinates *x* = 1, 2, 4, 8, ....∞. If a charge of 1 *C* is kept at the origin, then what is the net force acting on 1 *C* charge?

1. | 9000 N |
2. | 12000 N |

3. | 24000 N |
4. | 36000 N |

Subtopic: Coulomb's Law |

66%

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Three identical positive point charges, as shown are placed at the vertices of an isosceles right-angled triangle. Which of the numbered vectors coincides in direction with the electric field at the mid-point M of the hypotenuse?

** **

1. 1

2. 2

3. 3

4. 4

Subtopic: Electric Field |

77%

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An electron enters an electric field with its velocity in the direction of the electric lines of force. Then:

1. | the path of the electron will be a circle. | 2. | the path of the electron will be a parabola. |

3. | the velocity of the electron will decrease. | 4. | the velocity of the electron will increase. |

Subtopic: Electric Field |

58%

From NCERT

PMT - 2000

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A charged ball *B* hangs from a silk thread *S*, which makes an angle θ with a large charged conducting sheet *P*, as shown in the figure. The surface charge density σ of the sheet is proportional to:** **

** **

1. sin θ

2. tan θ

3. cos θ

4. cot θ

Subtopic: Electric Field |

61%

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A total charge *\(Q\)* is broken in two parts \(Q_1\) and \(Q_2\) and they are placed at a distance *\(R\)* from each other. The maximum force of repulsion between them will occur, when:

1. | \(Q_2=\frac{Q}{R}, Q_1=Q-\frac{Q}{R}\) |

2. | \(Q_2=\frac{Q}{4}, Q_1=Q-\frac{2 Q}{3}\) |

3. | \(Q_2=\frac{Q}{4}, Q_1=\frac{3 Q}{4}\) |

4. | \(Q_1=\frac{Q}{2}, Q_2=\frac{Q}{2}\) |

Subtopic: Coulomb's Law |

84%

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The electrostatic field due to a charged conductor just outside the conductor is:

1. | zero and parallel to the surface at every point inside the conductor. |

2. | zero and is normal to the surface at every point inside the conductor. |

3. | parallel to the surface at every point and zero inside the conductor. |

4. | normal to the surface at every point and zero inside the conductor. |

Subtopic: Electric Field |

70%

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Suppose the charge of a proton and an electron differ slightly. One of them is \(-e\), the other is (\(e+\Delta e\)). If the net of electrostatic force and gravitational force between two hydrogen atoms placed at a distance \(d\) (much greater than atomic size) apart is zero, then$$ \(\Delta e\) is of the order of? (Given mass of hydrogen ${\mathrm{}}_{}$\(m_h = 1.67\times 10^{-27}~\text{kg}\)$$)

1. \(10^{-23}~\text{C}\)

2. \(10^{-37}~\text{C}\)

3. \(10^{-47}~\text{C}\)

4. \(10^{-20}~\text{C}\)

Subtopic: Coulomb's Law |

65%

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NEET - 2017

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