Amass spectrometer is used to examine the isotopes of uranium. ions in the beam emerge from the velocity selector at a speed of 3.00 3 105 m/s and enter a uniform magnetic field of 0.600 t directed perpendicularly to the velocity of the ions. what is the distance between the impact points formed on the photographic plate by singly charged ions of 235u and 238u?

  Δr =  15 m

Explanation:

Let's use Newton's second law

       F = m a

Force is magnetic

     F = q v B sin θ

Where θ = 90 since it indicates that the field is perpendicular to the velocity. The acceleration is centripetal

     a = v² / r

Let's replace

      q v B = m v² / r

      r = mv /q B  

Let's look for the mass for each isotope

     1 una = 1.660 10⁻²⁷ kg

235U        m1 = 235 uma (1,660 10⁻²⁷kg / 1 unit) = 390.1 10⁻²⁷kg

238U        m2 = 238 uma (1,660 10⁻²⁷ kg / 1 unit) = 395.1 10⁻²⁷ kf

In the exercises they indicate that ions have an unitary charge.

     q = 1.6 10⁻¹⁹ C

Let's calculate the radius for each isotope

235U

     r₁ = 390.1 10⁻²⁷ 3.00 10⁵  / (  1.6 10⁻¹⁹ 0.600)

     r₁ = 1170.3/0.96 10⁻³

     r₁ = 1.219  m

238U

     r₂ = 395.1 10⁻²⁷ 3.00 10⁵ /(1.6 10⁻¹⁹ 0.600)

     r₂ = 1185.3/0.96  10⁻³

     r₂ = 1.234 m

The distance between the two impact points is

     Δr = r₂  -r₁

     Δr = 1.234 - 1.219

     Δr =  15 m

  the unit of the measure =

explanation:

  the property that is quantified by the energy needed per of material to raise the temperature by one.

  si unit of energy = joule (j)

  si unit of temperature = kelvin (k)

  si unit of mass of material = kilogram (kg)

the property that is quantified by the energy needed per of material to raise the temperature by one is called specific heat.

the unit of specific heat is

the skeletons of most mammals reach a certain size and then stop growing. however, many animals, including some mammals, keep growing throughout their lives. kangaroos, for example, just keep growing and growing until they die. also, the longer an animal lives the greater the chance it might catch some deadly disease.