Please answer the flowing questions and show a worh in a clear, neat format. Tha

Question

Please answer the flowing questions and show a worh in a clear, neat format. Thann Y f. a. wav elan th is 3, oa x 10, meters, what b thefrequency? hat is the wavelangt of an electron movinora+1.5x10% if the mass of the electron is .1x m)s ks ? 3. A ligh+ has the frequency of a.4x,o'y sec-' whats the wavelangth 2 . An isotop e, Cesium- 137, has a half-liPe of 30 years. starhna with 45 grams. How much is left in 9o y ears ? 5. wrik the beta decay equaton for: As Wrik the alpha dacay equation for: 35 At ·211 7 wr k the beta lecay eyua hon N wrie the aipha dlecoy rquad ou for. 239 N

Explanation / Answer

1)

Given:

lambda = 3.02*10^2 m

use:

f = c/lambda

=(3.0*10^8 m/s)/(3.02*10^2 m)

= 9.934*10^5 Hz

Answer: 9.93*10^5 Hz

2)

so, we have:

v = 1.5*10^7 m/s

mass, m = 9.11*10^-31 Kg

use:

lambda = h / (m*v)

lambda = (6.626*10^-34) / (9.11*10^-31*1.5*10^7)

lambda = 4.849*10^-11 m

Answer: 4.85*10^-11 m

3)

Given:

f = 2.74*10^14 s-1

use:

lambda = c/f

=(3.0*10^8 m/s)/(2.74*10^14 s-1)

= 1.095*10^-6 m

Answer: 1.10*10^-6 m

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