Acharge partides round a 1 m radius circular particle accelerator at nearly the speed of light. find : (a) the period (b) the centripetal acceleration of the charged particles

Explanation:

It is given that,

Radius of circular particle accelerator, r = 1 m

The distance covered by the particle is equal to the circumference of the circular path, d = 2πr

d = 2π × 1 m

(a) The speed of satellite is given by total distance divided by total time taken as :

Let t is the period of the particle.

d = distance covered

s = speed of particle

It is given that the charged particle is moving nearly with the speed of light

(b) On the circular path, the centripetal acceleration is given by :

Hence, this is the required solution.

you'd use the equation that establishes a relationship between  energy  and  wavelength, which looks like this

e=h⋅cλ, where

λ  - the wavelength of the photon; c  - the speed of light, usually given as  3⋅108m/s; h  -  planck's constant, equal to  6.626⋅10−34j s

plug the value you were given for the energy of the photon in the above equation to get the wavelength

e=h⋅cλ⇒λ=h⋅ce

λ=6.626⋅10−34js⋅3⋅108ms−1.257⋅10−24j=1.581⋅10−1m