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Q.

The energy of a photon is 3×10^–12 ergs. What is its wavelength in nm ? (h= 6.62 × 10^–27 erg. sec; C=3×10¹⁰cm.s^–1)

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An Intiative by Sri Chaitanya

a

662

b

1324

c

66.2

d

6.62

answer is A.

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Detailed Solution

$large E = frac{{hc}}{lambda } = frac{{left( {6.625 times {{10}^{ - 24}}ergs.sec } right)left( {3 times {{10}^{10}}cm/s} right)}}{{lambda left( {in{text{ }}cm} right)}}$

$large lambda left( {in{text{ }}cm} right) = frac{{left( {6.625 times {{10}^{ - 27}}ergs.sec } right)left( {3 times {{10}^{10}}cm/s} right)}}{{left( {3 times {{10}^{ - 12}}ergs} right)}}$

= 6.625 × 10^-5 cm

= $large frac{{6.625 times {{10}^{ - 5}} times {{10}^{ - 2}}}}{{{{10}^{ - 2}}}}nm$

= 662.5 nm

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