Question

Large and small numbers are often best entered in exponential notation. For example, the mass of the earth is 5.98x1024 kg and the mass of an electron is 9.11x10-31 kg. Canvas does not have the capability to handle scientific notation. We will include the power of 10 with the units needed in the answer. The charge of an electron is -1.60x10-19 C. Determine the charge to mass ratio of the electron (in 1011 C/kg). (Hint: divide the electron's charge by its mass; the answer is a negative number with a positive exponent)

Answer 1

The charge to mass ratio is

m/e= -0.17*10^12kg/c

Step-by-step explanation:

Step one :

Given data

mass of an electron m= 9.11x10-31kg

charge of electron q= -1.60x10-19C

Applying the equation

mv²/r=Bev

Where m =mass of charge

v= velocity of charge

r= distance

B=magnetic field

e= charge

Rearranging to get the charge-mass ratio we have

mv²/r=Bev

m/e=Br/v

(-1.60x10-19)/(9.11x10-31kg)=Br/v

-0.17*10^12

m/e= -0.17*10^12kg/c

Answer 2

The charge to mass ratio is
`-1.76*10^(11)`

Step-by-step explanation:

`Mass\ of\ electron=m_e=9.11*10^(-31) kg\\ Charge\ of\ the\ electron=q_e=-1.60*10^(-19) C\\`

We need to find how much charge is contained in the electron per unit of mass, to do this we divide the charge in an electron and the mass of an electron:

`(Charge\ of\ electron)/(Mass\ of\ electron)=(q_e)/(m_e)(C)/(kg)=(-1.60*10^(-19) C)/(9.11*10^(-31) kg)=-1.76*10^(11) (C)/(kg)`