Physics and chemistry taken overseas

Level pending

During a vacation, the Tan family was at an overseas chemistry laboratory. The chemist was demonstrating to them how an exotic chemical is made. He also showed them the graph of the maximum light absorption spectrum which peaked at 2.4 e V 2.4 eV .

Mr Tan could work out what colour the chemical was without looking. He realised that it was one of his children's favourite colour and asked whether a sample of that chemical can be kept as a souvenir. Mr Tan was thinking of...

Benedict, Bob, Brenda, Brian or Billy?

The favourite colours of his children are as follows:

  • Benedict - green

  • Bob - blue

  • Brenda - red

  • Brian - orange

  • Billy - yellow

Brian Benedict Brenda Billy Bob

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1 solution

Noel Lo
Apr 10, 2015

h c λ = E \frac{hc}{\lambda} = E where E is for energy.

( 6.63 × 1 0 34 ) × ( 3 × 1 0 8 ) λ = 2.4 × 1.6 × 1 0 19 \frac{(6.63 \times 10^{-34}) \times (3 \times 10^{8})}{\lambda} = 2.4 \times 1.6 \times 10^{-19}

Solving, we have λ = 518 n m \lambda = 518 nm which corresponds to green light absorbed. The colour seen by us would be complementary to green which is red (on the opposite side of green on the colour wheel below):

This is B r e n d a s \boxed{Brenda's} favourite colour.

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