Question

Which (if any) of the following statements about the frequency of a particle is true? a) Heavy, fast moving particles have lower frequencies than those of lighter, faster-moving objects. b) Only very light particles can have higher frequencies. c) Doubling the mass of an object and halving its speed result in no change in its frequency. Please explain why a each statements is true or false.

Answer 1

WL = hc/E

E = hF

where F = frequency, therefore, high frequency, high enery

F = h/(m*v)

m = mass ,and vleocity

the larger the wavleenght, the less energy it has

E = mc^2

E = 1/2*mV^2

then

a) Heavy, fast moving particles have lower frequencies than those of lighter, faster-moving objects.

TRUE

faster objects have high energy, light objects hav ehigh frequencysies, therefore energy. Heavy objects will have a very low frequency, thereforeo high wavleneght

b) Only very light particles can have higher frequencies.

FALSE, even though its easier to get a small/light particle to trave lvery fast. You will require less energy for this but you can also have heavy particles at high frequencies (more energy is required)

c) Doubling the mass of an object and halving its speed result in no change in its frequency.

FALSE

E = 1/2*m*V^2

if you double m, halve v, you will decrease the energy; that is, less frequency will be expected