Consider an electron being ejected from the surface of a heated filament at nearly zero specd [a] through what potential difference must it be accelerated to achieve a speed of 8.4x106m/s? any relativistic effects can be neglected [b] what is the minimum b-field required to cause the electron in part [a] above to move in a circular orbit of radius r 5.0 cm?

The potential difference and the magnetic field are 200.655 V and

Explanation:

Given that,

Speed

radius = 5.0 cm

We need to calculate the potential difference

We know that,

The kinetic energy acquired by electron

Where, m = mass of  electron

q = charge

v = velocity

Put the value into the formula

(b). We need to calculate the magnetic field

Using formula of magnetic field

Put the value into the formula

Hence, The potential difference and the magnetic field are 200.655 V and

a) 200 v

b )9.555 x 10⁻⁴ T

Explanation:

Equation for electron acceleration under potential difference

q V = 1/2 mv²

V is potential diff , v is velocity after acceleration, q is charge on electron.

V= .5 x 9.1x 10⁻³¹ x( 8.4 x 10⁶)² / 1.6 x 10⁻₁¹⁹

= 200.655 V

b ) radius of circular orbit in a magnetic field of electron

r =

B )  magnetic field required =

= 9.1 x 10⁻³¹ x 8.4 x 10⁶ / 1.6 x 10⁻¹⁹ x 5 x 10⁻²

9.55 x 10⁻⁴ T

when jerome paddle in flowing river towards east the net speed of jerome will increase

so the net speed of jerome will be given as

now the speed of paul will be same as it is given as he is running on the ground

so

so here we can say since the speed of jerome is more so he will win the race

now as we know the distance so the time difference is given as

so jerome will reach first and the time difference will be 203.55 s or 3.4 min