Question 167: Dual Nature of Matter and Radiation

Question

A particle is travelling 4 time as fast as an electron. Assuming the ratio of de-Broglie wavelength of a particle to that of electron is 2 : 1, the mass of the particle is :

Accepted Answer

$$\lambda  = {h \over p}$$
$${{{\lambda _p}} \over {{\lambda _e}}} = {{{p_e}} \over {{p_p}}} = {{{m_e}{v_e}} \over {{m_p}{v_p}}}$$
$$2 = {{{m_e}} \over {{m_p}}}\left( {{{{v_e}} \over {4{v_e}}}} ight)$$
$$ 	herefore $$ $${m_p} = {{{m_e}} \over 8}$$

Answer

$${1 \over {16}}$$ times the mass of e$$-$$

Answer

8 times the mass of e$$-$$

Answer

16 times the mass of e$$-$$

Answer

$${1 \over {8}}$$ times the mass of e$$-$$

Dual Nature of Matter and Radiation

A particle is travelling 4 time as fast as an electron. Assuming the ratio of de-Broglie wavelength of a particle to that of electron is 2 : 1, the mass of the particle is :

Choose the correct answer: