If you can build a cyclotron with twice the radius and with the magnetic field twice as strong, by what factor would the allowed maximum particle energy increase?
a. 2
b. 4
c. 8
d. 16

d. 16

Explanation:

Let

Charge on particle=q and mass of particle=m

Radius=2r

Magnetic field=2B

We have to find by  what factor  the maximum kinetic energy of particle increases.

We know that

Maximum kinetic energy of particle is given by

Substitute the values then we get

Maximum kinetic energy of particle =

Maximum kinetic energy of particle =

Hence, the maximum kinetic energy of particle increase by 16 when radius is twice and magnetic field is twice strong.

d.1 6

trig 15.3 cos

wind moving at higher speeds will transfer more energy to the water, resulting in stronger waves.