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An atom radiates 1.5 x \(10^{-19}\)J of energy when an elect...

An atom radiates 1.5 x \(10^{-19}\)J of energy when an electron jumps from one energy level to another. What is the wavelength of the emitted radiation? (Planck’s constant =6.6 x \(10^{-34}\)Js. Speed of light in air=3 x \(10^{8}ms^{-1}\)

A.

1.32 x \(10^{-6}\)m

B.

2.98 x \(10^{-6}\)m

C.

3.32 x \(10^{-6}\)m

D.

6.82 x \(10^{-6}\)m

E.

8.01 x \(10^{-6}\)m

Correct answer is A

\(E=\lambda v=\frac{hc}{\lambda}\Rightarrow\lambda=\frac{hc}{E}={6.6 \times10^{-34}\times3\times10^8}{1.5\times10^{-19}}\\=1.32\times10^{-6}\)