Consider electrons incident on a double slit apparatus. you observe that they form the same pattern as 465-nm light on the screen behind the slits atan) - 25% part (a) calculate the velocity, in meters per second, of the electrons grade deduct potenti submi attemp (09% pe tan() π ( coso cotan() asin()acos() atano acotano sinh cosh)tanh)cotanh) degrees radians sin -- detaile 0 end backspace del clear submit hint i give up! hints: 2% deduction per hint. hints remaining: 2 feedback: 2% deduction per feedback. 25% part (b) calculate the energy, in joules, of the a photon with this wavelength δ 25% part (c) calculate the kinetic energy, in joules, of the electron 25% part (d) how many times greater is the energy of the photon than the electron?

a)  v = 1.567 10³ m / s , b)  E = 4,278 10⁻¹⁹ J , c) E / K = 3.8 10⁵

Explanation:

a) For this exercise we will use the d’Broglie duality principle, which relates

       p = h / λ

Where p is the moment, h the Planck constant that is worth .6.63 10⁻³⁴ J s and  λ the wavelength

The momentum of a particle is defined by

     p = mv

    m v = h / λ

    v = h / m  λ

Reduce to SI units

     λ = 465 nm (1m / 10⁹ nm) = 465 10⁻⁹ m

    v = 6.63 10⁻³⁴ / (9.1 10⁻³¹ 465 10⁻⁹)

    v = 1.567 10³ m / s

b) The Planck equation is

    E = h f

The speed of light is

    c =  λ f

Let's replace

    E = h c / λ

   E = 6.63 10⁻³⁴ 3 10⁸/465 10⁻⁹

   E = 4,278 10⁻¹⁹ J

c) The kinetic energy is

   K = ½ m v²

   K = ½ 9.1 10⁻³¹ (1.567 10³) 2

   K = 11.17 10⁻²⁵ J

d) the energy ratio is

   E / K = 4,278 10⁻¹⁹ / 1,117 10⁻²⁴

   E / K = 3.8 10⁵

you cant move and you feel like someones pushing you down onto your bed it can feel like you want to get up but you just can't it can be extremely scary

causes

fossil fuels burn

cities become more industrialized

human population grows worldwide