Rutherford discovered the nucleus of the atom by firing a particles at gold foil. an a particle has a charge of q = +2e and a mass of m = 6.64-10-27 kg. a gold nucleus has charge of q-+79e. you may ignore the motion of the gold nucleus in this problem +2e +79e suppose an α particles is traveling directly toward a gold nucleus. if the speed of the a particle is u = 1.9. 107 m/s when it is 1 m from the gold nucleus, how close to the gold nucleus will the a particle come before it stops and reverses direction?

Explanation:

Given

charge on alpha particle=+2e

mass of alpha particle= kg

Charge on gold nucleus=+79e

Velocity at r=1m is

Using Energy conservation

Kinetic energy of particle will be converting to Potential energy as it approaches to nucleus

therefore

on solving we get

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation: