The normalized ground-state wavefunction of a hydrogen atom is ( )r a (1/ ) e r a 0 3 1/2 / ψ 0 = π − where a0 = 53 pm (the Bohr radius) and r is the distance from the nucleus. (a) Calculate the probability that the electron will be found somewhere within a small sphere of radius 1.0pm centred on the nucleus. (b) Now suppose that the same sphere is located at r = a0. What is the probability that the electron is inside it? You may approximate the probability of being in a small volume δV at position r by ( )r V

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation:

no

step-by-step explanation:

b if for most of the graph

d if y intercept

step-by-step explanation: