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Potential Energy of a System of Multiple Point Charges

Two charges e...

Question

Two charges each $+ 5 μ C$ are at $(0, \pm 3 m)$ . A third charge of $1 μ C$ and of mass 2g is at (4m, 0). What is the minimum velocity to be given to the $1 μ C$ charge such that it just reaches the origin (in $m s^{- 1}$ ).

A

3

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B

12

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C

\sqrt{12}

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D

4

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Solution

The correct option is C $\sqrt{12}$

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Similar questions

Q. Two charges each

+ 5 μ C

(0, \pm 3 m)

. A third charge of

1 μ C

and of mass 2g is at (4m, 0). What is the minimum velocity to be given to the

1 μ C

charge such that it just reaches the origin (in

m s^{- 1}

Q. Four charges, two

+ 8 μ C

- 1 μ C

(0, \pm \sqrt{\frac{27}{2} m})

(0, \pm \sqrt{\frac{3}{2} m})

respectively. A third charge of

\frac{1}{3} μ C

and mass 2g is at a large distance along the x-axis. Find the minimum velocity to be given to the

\frac{1}{3} μ C

charge such that it just reaches the origin (in

m s^{- 1}

1 μ C

3 μ C

are placed at separation of

1 m

. Where should a third charge be placed such that it experiences no net force due to these charges?

Q. Two fixed charges

+ 1 μ C

each are 4 cm apart. A third charge of

- 1 μ C

and mass 1g is placed at their centre and given a small displacement along their perpendicular bisector. Find the time period of oscillation of the ensuing SHM in milli second.

Q. Two identical charges each having

Q

are fixed at a distance

2 d

apart. A third particle having a mass

m

- q

is projected from the midpoint of the line joining the two charges along a direction perpendicular to the line joining the two charges. Find the minimum velocity to be imparted, such that

- q

charge reaches infinity.

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