Question

5.
The De-Broglie wavelength of a particle having
speed c/2 is
CO5 K5
a) 3.0 x 10-12m
b) 5 x 10-12 m
c) 1.8 x 1011 m
d) 4.2 x 10-12 m​

Answer 1

Answer:

b) 5 x 10-12 m

Explanation:

I think it is the correct answer

Answer 2

The De-Broglie wavelength of the particle is 5 × 10⁻¹² m. hence option (b) is correct.

The De-Broglie wavelength of a particle having speed c/2 is ..

• a) 3 × 10⁻¹² m
• b) 5 × 10⁻¹² m
• c) 1.8 × 10⁻¹¹ m
• d) 4.2 × 10⁻¹² m

De-Broglie wavelength equation :

• According to De-Broglie's equation, It states that a matter can acts as a wave as well as particle if Is mass is very small but the moving very fast ( comparable to light).
• Wavelength of a particle is given by, λ = h/mv

if particle's mass is nearly equal to electron then, m = 9.1 × 10⁻³¹ kg

speed of particle, v = c/2 = (3 × 10⁸)/2 = 1.5 × 10⁸ m/s

Plank's constant, h = 6.63 × 10⁻³⁴ Js.

∴ λ = (6.63 × 10⁻³⁴)/(9.1 × 10⁻³¹ × 1.5 × 10⁸)

= 4.857 × 10⁻¹² m ≈ 5 × 10⁻¹² m

Therefore the De-Broglie wavelength of the particle is 5 × 10⁻¹² m. hence option (b) is correct.

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