Question

23. The photon has a momentum as well as a wavelength.
a) Which property of matter is revealed in the above statement?
b) A photon has a mass of 8.6 x10-50 kg. Calculate its wavelength. (Planck's constant = 6.626 x 10Js ​

Answer 1

Answer:

a) dual behaviour

Explanation:

a) de-brogile proposed that just like light,all the matters should exhibit both particle and wave like properties

Answer 2

Answer:

1. The photon has a momentum as well as wavelength. This property of matter is called dual nature.

2. The wavelength of a photon is 2.57 × 10⁷ meter.

Explanation:

For question 1:

• De Broglie gave the statement that as matter, photon also has dual nature.
• Dual nature means having both particle and wave like properties.
• So, photon has both momentum and wavelength.

For question 2:

Step 1:

$λ = \frac{h}{mv}$

Where,

λ = wavelength

h = planck's constant = 6.626 x 10-³⁴Js

m = mass = 8.6 × 10 -⁵⁰ kg

v = velocity of photon = 3 × 10⁸ m/s

Step 2:

Putting the values in above equation,

$λ = \frac{6.626 \times 10 {}^{ - 34} }{8.6 \times {10}^{ - 50} \times 3 \times {10}^{8} }$

$= 0.257\times {10}^{8}$

= 2.57 × 10⁷ meter

So, wavelength of photon is 2.57 × 10⁷ meter.

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