Question 149: Dual Nature of Matter and Radiation

Question

The de-Broglie wavelength associated with an electron and a proton were calculated by accelerating them through same potential of 100 V. What should nearly be the ratio of their wavelengths? (m
p
= 1.00727u m
e
= 0.00055u)

Accepted Answer

$${\lambda _e} = {{12.27} \over {\sqrt V }}\mathop A\limits^o $$
$${\lambda _p} = {{0.286} \over {\sqrt V }}\mathop A\limits^o $$
$${{{\lambda _e}} \over {{\lambda _p}}} = {{12.27} \over {0.286}} = 43$$

Answer

41.4 : 1

Answer

(1860)
2
: 1

Answer

1860 : 1

Answer

43 : 1

Dual Nature of Matter and Radiation

The de-Broglie wavelength associated with an electron and a proton were calculated by accelerating them through same potential of 100 V. What should nearly be the ratio of their wavelengths? (m p = 1.00727u m e = 0.00055u)

Choose the correct answer: