- 1(current)
Q. No.As per the figure, a point charge \(+q\) is placed at the origin \(O\). Work done in taking another point charge \(-Q\) from the point \({A}(0, {a})\) to another point \(B({a},0)\) along the straight path \(AB\) is:
| 1. | \(\Big(\dfrac{-qQ}{4\pi\varepsilon_0}\dfrac{1}{a}\Big)\sqrt {2}\) |
2. | \(\Big(\dfrac{qQ}{4\pi\varepsilon_0}\dfrac{1}{a}\Big)\sqrt{2}\) |
| 3. | \(\Big(\dfrac{qQ}{4\pi\varepsilon_0}\dfrac{1}{a}\Big)\dfrac{1}{\sqrt{2}}\) | 4. | zero |
Subtopic: Â Electric Potential Energy |
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Level 2: 60%+
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Given below are two statements:
Assertion (A): An isolated system consists of two particles of equal masses \(m=10\) gm and charges \(q_1=1~\mu \)C and \(q_2=-1~\mu \)C as shown in the figure. The initial separation of both charges is \(l=1\) m. Both the charges are given initial velocities \(v_1=1\) ms-1 and \(v_2=2\) ms-1 towards the right. The maximum separation between the charges is infinite.
Reason (R): The total energy (Kinetic energy + electrostatic potential energy) of the given two-particle system is positive and the initial velocity of separation is positive.
| 1. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
| 3. | (A) is true but (R) is false. |
| 4. | Both (A) and (R) are false. |
Subtopic: Â Electric Potential Energy |
 58%
Level 3: 35%-60%
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