A deuteron (the nucleus of an isotope of hydrogen) has a mass of 3.34×10−27 kgkg and a charge of 1.60×10−19 CC . The deuteron travels in a circular path with a radius of 6.90 in a magnetic field with a magnitude of 3.00 TT .

A) Find the speed of the deuteron
B)Find the time required for it to make 12 of a revolution.
C) Through what potential difference would the deuteron have to be accelerated to acquire this speed?

a) v=991616m/s

b) t=2.19*10^-8sec

c)V=10263V

Explanation:

Given that a deuteron of mass 3.34*10^-27kg with a charge of 1.6*10-19C and travel a path of radius 6.90mm which is 0.0069m in a 3 tesla magnetic field

a)

We are to find the speed of deuteron

Recall that F= qVB

But we know F is also m*a

Hence

M*a= qVB

We're a is the centripetal acceleration directed inwards

Ie a=V^2/r

So M*V^2/r=qVB

V= qBr/M=1.6*10^-19*3*0.0069/3.34*10^-27

Velocity (V)=991616.8m/s

b)

We are to find the time for 12 revolution

Note before the path traced by the deuteron is a semi circular path

Hence T = distance/velocity.

T= πr/v

t=3.142*0.0069/991616.8

t=2.19*10^-8seconds

c). calculating for the potential difference V

Remember that the kinetic energy must equal the potential energy

So

1/2mv^2=/q/V

Hence V= 1/2mv^2/q

V=1/2*3.34*10^-27*991616^2/1.6*10^-19

V=10263.2V

sleep paralysis is a parasomnia, events associated with sleep.

sleep paralysis happens when you are in the middle of waking up or falling asleep. it is the feeling of being conscious but unable to move. it definitely involves hallucinations.

i had a friend that had sleep paralysis and he told me a story one time where he was laying in bed and he couldn't move his body no matter how hard he tried and there was someone standing in the corner of his room coming towards him. he couldn't move and you can't "wake up" because you are already conscious. sometimes sleep paralysis can be triggered by frequent waking up during the night based off of multiple trips to the bathroom, or if you had ever been abused, sleep paralysis can start happening from things like that.

50 inches should be the resultant vector