Question 170: 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? (mp = 1.00727u me = 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? (mp = 1.00727u me = 0.00055u)

Choose the correct answer: