Question 152: Dual Nature of Matter and Radiation

Question

Consider two separate ideal gases of electrons and protons having same number of particles. The temperature of both the gases are same. The ratio of the uncertainty in determining the position of an electron to that of a proton is proportional to :-

Accepted Answer

$$\Delta x\,.\,\Delta p \ge {h \over {4\pi }}$$
$$\Delta x = {h \over {4\pi m\Delta v}}$$
$$v = \sqrt {{{3KT} \over m}} $$
$${{\Delta {x_e}} \over {\Delta {x_p}}} = \sqrt {{{{m_p}} \over {{m_e}}}} $$

Answer

$${\left( {{{{m_p}} \over {{m_e}}}} \right)^{3/2}}$$

Answer

$$\sqrt {{{{m_e}} \over {{m_p}}}} $$

Answer

$$\sqrt {{{{m_p}} \over {{m_e}}}} $$

Answer

$${{{m_p}} \over {{m_e}}}$$

Dual Nature of Matter and Radiation

Consider two separate ideal gases of electrons and protons having same number of particles. The temperature of both the gases are same. The ratio of the uncertainty in determining the position of an electron to that of a proton is proportional to :-

Choose the correct answer: