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11. Dual Nature of Radiation and Matter
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Q17 of 43 Page 407

For what kinetic energy of a neutron will the associated de Broglie wavelength be 1.40 × 10–10m?

Now we know de Broglie wavelength of a Particle is given by relation


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15

What is the de Broglie wavelength of

(a) a bullet of mass 0.040 kg travelling at the speed of 1.0 km/s,


(b) a ball of mass 0.060 kg moving at a speed of 1.0 m/s, and


(c) a dust particle of mass 1.0 × 10–9 kg drifting with a speed of 2.2 m/s?

16

An electron and a photon each have a wavelength of 1.00 nm. Find

(a) their momenta,


(b) the energy of the photon, and


(c) the kinetic energy of electron.

17

Also find the de Broglie wavelength of a neutron, in thermal equilibrium with matter, having an average kinetic energy of (3/2) k T at 300 K.

18

Show that the wavelength of electromagnetic radiation is equal to the de Broglie wavelength of its quantum (photon).

Questions · 43
11. Dual Nature of Radiation and Matter
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