Question

Calculate the mass of a photon with wavelength 3.6Å.

Solution

According to de-Broglie equation,
$space space space space space straight lambda space equals space straight h over mv space or space space straight m space equals space straight h over λv space space space space space space space space... left parenthesis straight i right parenthesis space space Here space straight h space equals space 6.626 space cross times 10 to the power of negative 34 end exponent kg space straight m squared straight s to the power of negative 1 end exponent semicolon space space space space space space space space straight lambda space equals space 3.6 space straight Å space equals space 3.6 space cross times 10 to the power of negative 10 straight m end exponent space space straight v space equals space velocity space of space photon space equals space velocity space of space light space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 3.0 space cross times 10 to the power of 8 ms to the power of negative 1 end exponent space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space$
Substituting the value in eq. (1), we have,
$space straight m space equals fraction numerator 6.626 space cross times 10 to the power of negative 34 end exponent kg space straight m squared straight s to the power of negative 1 end exponent over denominator left parenthesis 3.6 space cross times 10 to the power of negative 10 end exponent straight m right parenthesis space cross times space left parenthesis 3.0 space cross times space 10 to the power of 8 space ms to the power of negative 1 end exponent right parenthesis end fraction space space space space space equals 6.135 space cross times 10 to the power of negative 29 end exponent kg$

Some More Questions From Structure of Atom Chapter

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Structure Of Atom

Calculate the mass of a photon with wavelength 3.6Å.

Some More Questions From Structure of Atom Chapter

Name the particles which determine the mass of an element.

What are α-particles?

Why were neutrons discovered very late?

What are the fundamental particles present in a neutral atom having atomic number greater than 1?

Do protons and neutrons have identical mass?

When α-particles are sent through a thin metal foil, most of them go straight through the foil. What inference do you draw from it?

What did Rutherford's experiment on scattering of particles show for the first time?

What is Plum-Pudding model of the atom?

Are neutrons present in all atoms?

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