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.^(60 m)Co rarr .^(60)Co emits gamma-rad...

`.^(60 m)Co rarr .^(60)Co` emits `gamma`-radiations of wavelength `3 xx 10^(-10)`. Assuming each nuclei emits one wavelength, with what mass per mole of two nuclei differ?
a. `4.43 xx 10^(-9) g` b. `4.43 xx 10^(-4) g`
c. `4.43 xx 10^(-3) g` d. `4.43 g`

A

a. `4.43 xx 10^(-9) g`

B

b. `4.43 xx 10^(-6) g`

C

c. `4.43 xx 10^(-3) g`

D

d. `4.43 g`

Text Solution

Verified by Experts

The correct Answer is:
b. `4.43 xx 10^(-6) g`
`E//"Photon" = (N.hc)/(lambda)`, also `E = mc^(2)`
`:. (N.hc)/(lambda)`, `= mc^(2)`
or `m = (Nh)/(clambda) = (6.023 xx 10^(23) xx 6.626 xx 10^(-34))/(3 xx 10^(8) xx 3 xx 10^(-10))`
`= 4.43 xx 1-^(-9) kg = 4.43 xx 10^(-6) g`
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