You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Energy of a Capacitor

A particle of...

Question

A particle of mass $2 g$ and charge $1 μ C$ is held at a distance of $1 m$ from a fixed charge of $1 m C .$ If the particle of released it will be repelled. Speed of the particle when it is at a distance of $10 m$ from the fixed charge is

100 m / s

No worries! We‘ve got your back. Try BYJU‘S free classes today!

90 m / s

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

60 m / s

No worries! We‘ve got your back. Try BYJU‘S free classes today!

45 m / s

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $90 m / s$
energy of the whole system will be conserved .

so the change in the potential energy of the system will be converted into the kinetic energy of the particle

$K (q_{1} * q_{2}) / (1 / r_{1} - 1 / r_{2})$ $=$ $(m * v^{2}) / 2$

substituting the values will give

$V = 90$ $m / s$

Suggest Corrections

Similar questions

Q. A particle of mass

2 g m

and charge

1 μ C

is held at rest on a frictionless horizontal surface at distance

1 m

from the fixed charge

1 m C

. If the particle is released, it will be repelled. The speed of the particle when it is at a distance of

10 m

from the fixed charge is

Q. In free space, a particle A of charge

1 μ C

is held fixed at a point P. Another particle B of the same charge and mass

4 μ g

is kept at a distance of

1 m m

from P. if B is released, then its velocity at a distance of

9 m m

from P is :
[Take

\frac{1}{4 π ε_{0}} = 9 \times 10^{9} N m^{2} C^{- 2}

]

Q. A charge

q = 10^{- 6} C

of mass

2 g

is free to move when released at a distance

^{'} a^{'}

from the fixed charge

Q

.
Calculate its speed, when it moves to a distance

b

[Assume

a = 1 m

b = 10 m, Q = 10^{- 3} C]

Q. A particle of mass

1 kg

and charge

- 2 μ C

(initially at a very large distance) is projected with initial velocity

200 m/s

towards a positive charged particle of charge

2 μ C

which is fixed. The distance of

1 kg

particle from heavy particle when speed of

1 kg

particle is equal to twice of initial value is

\frac{x}{10^{7}} m

. Find the value of ‘

x

’.

Q. Two identical charges,

5 μ C

, each are fixed at a distance

8 c m

and a charged particle of mass

9 \times 10^{- 6} k g

and charge

- 10 μ C

is placed at a distance

5 c m

from each of them and is released. Find the speed of the particle when it is nearest to the two charges.

Join BYJU'S Learning Program

A particle of mass 2 g and charge 1 μC is held at a distance of 1 m from a fixed charge of 1 mC. If the particle of released it will be repelled. Speed of the particle when it is at a distance of 10 m from the fixed charge is

The correct option is B 90 m/senergy of the whole system will be conserved .so the change in the potential energy of the system will be converted into the kinetic energy of the particle K(q1∗q2)/(1/r1−1/r2) = (m∗v2)/2substituting the values will give V=90 m/s

A particle of mass $2 g$ and charge $1 μ C$ is held at a distance of $1 m$ from a fixed charge of $1 m C .$ If the particle of released it will be repelled. Speed of the particle when it is at a distance of $10 m$ from the fixed charge is