Question

The energy of a photon of green light of wavelength 5000Å
is
(a) 3.459 × 10⁻¹⁹ joule (b) 3.973 × 10⁻¹⁹ joule
(c) 4.132 × 10⁻¹⁹ joule (d) 8453 × 10⁻¹⁹ joule

Answer 1

Solution :-

GIVEN :

• wavelength of green light= 5000 Å

$1 \: Å \: = \: {10}^{ - 10} m$

wavelength of green light

$= 5000 \times {10}^{ - 10} m$

TO FIND :

▪ energy of photon of green light with wavelength equal to 5000 Å ??

${ \boxed{ \bold{E \: = \frac{hc}{wavelength}}}}$

where,

E = energy of photon

h = planck's constant

$= 6.626 \times {10}^{ - 34} {m}^{2} kg \: {sec}^{ - 1}$

c = speed of light

$= 3 \times {10}^{ 8} m {sec}^{ - 1}$

λ = wavelength

$E= \frac{(6.626 \times {10}^{ - 34} {m}^{2} kg \: {sec}^{ - 1} ) \times (3 \times {10}^{ 8} m {sec}^{ - 1} )}{(5000 \times {10}^{ - 10} m)}$

$E= 3.97 \times {10}^{ - 19} kg \: {m}^{2} {sec}^{ - 2}$

therefore,

energy of photon of green light with wavelength

5000Å is equal to

${\boxed{ \bold{3.97 \times {10}^{ - 19} joule}}}$

☆HoPE iT hELpS you