Question

Which of the following represents the greatest energy transition from a higher energy level to a lower one?

A. emission of a red photon of 770 nm
B. emission of a green photon of 550 nm
C. emission of a yellow photon of 590 nm
D. emission of a blue photon of 450 nm

Answer 1

here we have to compute four energies, namely we have to apply this formula:
\[E = \frac{{hc}}{\lambda }\]

Answer 2

ok!

Answer 3

so
case red photon:
\[E = \frac{{hc}}{\lambda } = \frac{{6.62 \times {{10}^{ - 34}}3 \times {{10}^8}}}{{770 \times {{10}^{ - 9}}}} = ...joules\]

Answer 4

i am confused... what does this mean? 10^-34 3 ?

Answer 5

oops.. sorry:
\[E = \frac{{hc}}{\lambda } = \frac{{6.62 \times {{10}^{ - 34}} \times 3 \times {{10}^8}}}{{770 \times {{10}^{ - 9}}}} = ...joules\]

Answer 6

oh! okie! so we get 2.579E-19

Answer 7

that's right!

Answer 8

does that mean choice A is our soluition?

Answer 9

no, we have to to the same computation for other wavelength.
case green photon:
\[E = \frac{{hc}}{\lambda } = \frac{{6.62 \times {{10}^{ - 34}} \times 3 \times {{10}^8}}}{{550 \times {{10}^{ - 9}}}} = ...joules\]

Answer 10

ok! so we get 3.61E-19

Answer 11

that's right!

Answer 12

case yellow photon:
\[E = \frac{{hc}}{\lambda } = \frac{{6.62 \times {{10}^{ - 34}} \times 3 \times {{10}^8}}}{{590 \times {{10}^{ - 9}}}} = ...joules\]

Answer 13

and we get 3.366E-19!

Answer 14

that's right!

Answer 15

finally, case blue photon:
\[E = \frac{{hc}}{\lambda } = \frac{{6.62 \times {{10}^{ - 34}} \times 3 \times {{10}^8}}}{{450 \times {{10}^{ - 9}}}} = ...joules\]

Answer 16

4.42E-19!

Answer 17

that's right!

Answer 18

reassuming, we have these subsequent energies:
2.579E-19 J,
3.61E-19 J,
3.366E-19 J,
4.42E-19 J.
which is the greatest one?

Answer 19

the last! so our solution is choice D?

Answer 20

oh wait oops sorry it is the first, right? so chocie A is our solution?

Answer 21

I think that 4.42 is greater than 2.579

Answer 22

but it is negative?

Answer 23

E-19? :/

Answer 24

that is an exponential, all our energies have 10^(-19) as exponential

Answer 25

oh so our solution is still choice D?

Answer 26

yes! that's right!

Answer 27

yay! thanks:)

Answer 28

:)