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  3. Chemistry
  4. The energy of a photon is 3 × 10-12 erg. What is its wavelength in nm ? (h=6.62 × 10-27 erg -s ; c=3 × 1010 cm / s )

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Q. The energy of a photon is $3 \times 10^{-12}$ erg. What is its wavelength in $nm$ ? $\left(h=6.62 \times 10^{-27} erg -s ; c=3 \times 10^{10} cm / s \right)$

AFMCAFMC 2008

Solution:

$E=3 \times 10^{-12} erg$
$\lambda=?$
$h=6.62 \times 10^{-27} erg - s$
$c=3 \times 10^{10} cm s ^{-1}$
$E=\frac{h c}{\lambda}$
$3 \times 10^{-2}=\frac{6.62 \times 10^{-27} \times 3 \times 10^{10}}{{ }^{10}}$
$\lambda=\frac{6.62 \times 10^{-27} \times 3 \times 10^{10}}{3 \times 10^{-12}}$
$=6.62 \times 10^{-5} cm$
$=662 \times 10^{-7} cm$
$=662 \times 10^{-9} m =662\, nm$