Advertisements
Advertisements
प्रश्न
A point charge q0 is moving along a circular path of radius a, with a point charge Q at the centre of the circle. The kinetic energy of q0 is ______.
पर्याय
`(q_0Q)/(4piε_0a)`
`(q_0Q)/(8piε_0a)`
`(q_0Q)/(4piε_0a^2)`
`(q_0Q)/(8piε_0a^2)`
Advertisements
उत्तर
A point charge q0 is moving along a circular path of radius a, with a point charge Q at the centre of the circle. The kinetic energy of q0 is `underlinebb((q_0Q)/(8piε_0a))`.
Explanation:
q0 is moving around a circular path of radius a with a point charge Q at the centre of the circle. To calculate the kinetic energy of q0, we can put,
Electrostatic force due to charges = Centripetal force
`(kQq_0)/r^2 = (mv^2)/r`
The radius of the circle given in the question is a
`(kQq_0)/a^2 = (mv^2)/a`
`(kQq_0)/a = mv^2` ............(i)
Kinetic energy is equal to `1/2m"v"^2`.
Multiplying (i) by `1/2`,
`1/2(kQq_0)/a = 1/2mv^2`
`1/2 xx 1/((4piepsilon_0)) xx Q xx q_0/a = 1/2mv^2`
`(Qq_0)/(8piepsilon_0a) = 1/2mv^2`
APPEARS IN
संबंधित प्रश्न
Three point charges, + Q + 2Q and – 3Q are placed at the vertices of an equilateral triangle ABC of side l. If these charges are displaced to the mid-point A1, B1 and C1, respectively, find the amount of the work done in shifting the charges to the new locations.
In a hydrogen atom, the electron and proton are bound at a distance of about 0.53 Å:
(a) Estimate the potential energy of the system in eV, taking the zero of the potential energy at infinite separation of the electron from proton.
(b) What is the minimum work required to free the electron, given that its kinetic energy in the orbit is half the magnitude of potential energy obtained in (a)?
(c) What are the answers to (a) and (b) above if the zero of potential energy is taken at 1.06 Å separation?
A small test charge is released at rest at a point in an electrostatic field configuration. Will it travel along the field line passing through that point?
Two point charges of 10C each are kept at a distance of 3m in the vacuum. Calculate their electrostatic potential energy.
Two point charges placed in a medium of dielectric constant 5 are at a distance r between them, experience an electrostatic force 'F'. The electrostatic force between them in vacuum at the same distance r will be-
If stretch in a spring of force constant k is tripled then the ratio of elastic potential energy in the two cases will be:
A work of 100 joule is performed in carrying a charge of 5 coulomb form infinity to a particular. point in an' electrostatic field. The potential of this point is:-
Potential energy of two equal negative point charges 2µc each held lm apart in air is:-
