The dissociation energy of a molecule is the energy required to break apart the molecule into its separate atoms. The dissociation energy for a particular molecule is 1.12 × 10-18 J. Suppose that this energy is provided by a single photon.

Determine the (a) wavelength and (b) frequency of the photon. (c) In what region of the electromagnetic

(a) 1.78 * 10^(-7) m

(b) 1.69 * 10(15) Hz

(c) Ultraviolet light

Explanation:

(a) To determine the wavelength, we use one of the formulae of energy of a wave:

E = hc/λ

Where h = Planck's constant

c = speed of light

λ = wavelength.

Therefore, wavelength, λ, is:

λ = hc/E

λ = (6.626 * 10^(-34) * 3 * 10^8) / (1.12 * 10^(-18))

λ = 1.775 * 10^(-7) m

This is the wavelength of the photon.

(b) Using formula for speed of a wave, we can find the frequency:

c = λf

Where f = frequency.

f = c/λ

f = (3 * 10^8) / (1.775 * 19^(-7))

f = 1.69 * 10^(15) Hz

This is the frequency of the photon.

(c) By comparing the frequency and wavelength of the photon with the electromagnetic spectrum, the proton is in the region of ultraviolet light.

answer: at 24 february, 2014 the population gets twice of its initial population.

explanation:

since we have given that

the population for alpha city, t years after january 1, 2004 is given as

first we find out the initial population, i.e. t=0,

so, our quadratic equation becomes,

according to question, we have said that if the population has twice its initial population, then it becomes

so, time taken to reach this above mentioned population is given by

now, we know that time can't be negative so, we take t=9.149 years.

hence, at 24 february, 2014 the population gets twice of its initial population.