Question 231: Dual Nature of Matter and Radiation

Question

A particle of mass 9.1 $$	imes$$ 10
$$-$$31
kg travels in a medium with a speed of 10
6
m/s and a photon of a radiation of linear momentum 10
$$-$$27
kg m/s travels in vacuum. The wavelength of photon is __________ times the wavelength of the particle.

Accepted Answer

For photon $${\lambda _1} = {h \over P} = {{6.6 	imes {{10}^{ - 34}}} \over {{{10}^{ - 27}}}}$$
For particle $${\lambda _2} = {h \over {mv}} = {{6.6 	imes {{10}^{ - 34}}} \over {9.1 	imes {{10}^{ - 31}} 	imes {{10}^6}}}$$
$$	herefore$$ $${{{\lambda _1}} \over {{\lambda _2}}} = 910$$

Dual Nature of Matter and Radiation

A particle of mass 9.1 $\times 10 -31 kg travels in a medium with a speed of 10 6 m/s and a photon of a radiation of linear momentum 10 -$27 kg m/s travels in vacuum. The wavelength of photon is __________ times the wavelength of the particle.

Integer / Numeric Answer Type