In: Chemistry
Part A. Plank‘s constant Plank‘s constant has units of Joules times second (Js). (a)Perform a dimensional analysis and show that these are the same units used to measure angular momentum. (b) Provide the definition of the angular momentum. (c) Explain how the Plank‘s constant can be measured from photoelectric effect.
Part B. Photoelectric effect (a) What is the maximum number of electrons that can be emitted if a potassium surface is irradiated with light of wavelength 275 nm and absorbs 7.75 mJ, while the threshold wavelength for potassium metal is detected of 564 nm. (b) Find the speed of electrons ejected from this surface upon 275 nm radiation. (c) Express the work function of potassium in e
(a) mvr = kg x (m /sec ) x m
= kg x m^2 /sec
=( kg x m^2 /sec ) x sec / sec
=( kg x m^2 /sec^2 ) x sec
= Joul x sec
= plank's constant units
(b) angular momentum :the quantity of rotation of a body, which is the product of its moment of inertia and its angular velocity
(c) hv = hvo + 1/2mV^2
h(v-vo) = 1/2 mV^2
h = 1/2 mV^2 / v-vo
plank's constant = h = KE / v-vo
