Question

. What should be the mass of the photon of sodium
if its wavelength is 58948, the velocity of light is
3 x 108 metre/second and the value of his
6.6252 x 10-34 kg m²/s ?
(1) 3.746 x 10-26 kg (2) 3.746 x 10-30 kg
(3) 3.746 x 10-34 kg (4) 3.746 x 10-36 kg​

Answer 1

$\bigstar$ Answer $\bigstar$

$\checkmark$ Given:

⇒ Wavelength ( λ ) = 5894 A°

⇒ Velocity of Light ( c ) = 3 x 10⁸ m/s

⇒ Planck's Constant ( h ) = 6.626 x 10⁻³⁴ kg m²/s

$\checkmark$ To Find:

⇒ The Mass ( m ) of the photon of Sodium

$\checkmark$ Solution:

We know that,

⇒ Wavelength ( λ )

$\blue{\boxed{\sf \lambda=\dfrac{h}{m \times v}}}$

According to the Question,

We are asked to find the Mass ( m ) of the photon of Sodium

Hence,

$\green{\implies \sf m=\dfrac{h}{\lambda \times v}}$

Given that,

⇒ Wavelength ( λ ) = 5894 A° = 5894 x 10⁻¹⁰ m

⇒ Velocity of Light ( c ) = 3 x 10⁸ m/s

⇒ Planck's Constant ( h ) = 6.626 x 10⁻³⁴ kg m²/s

Therefore,

Substituting the above values in the Formula,

We get,

$\orange{\implies \sf m=\dfrac{6.625 \times 10^{-34}}{(5894 \times 10^{-10}) \times (3 \times 10^{8})}\;kg}$

On further Simplification,

We get,

$\pink{\sf \implies m=0.000374 \times 10^{-32}\;kg}$

$\purple{\sf \implies m=3.74 \times 10^{-36}\;kg}$

Therefore,

The Mass ( m ) of the photon of Sodium

$\large{\bold{\red{\sf m=3.74 \times 10^{-36}\;kg}}}$

Hence,

$\checkmark$ Option ( 4 ) is correct $\checkmark$