Question 116: Dual Nature of Matter and Radiation

Question

The ratio of wavelengths of proton and deuteron accelerated by potential V
p
and V
d
is 1 : $$\sqrt2$$. Then the ratio of V
p
to V
d
will be :

Accepted Answer

$$\lambda  = {h \over {mv}} = {h \over {\sqrt {2m\,eV} }}$$
so $${{{\lambda _p}} \over {{\lambda _d}}} = {{\sqrt {{m_d}{V_d}} } \over {\sqrt {{m_p}{V_p}} }} = {1 \over {\sqrt 2 }}$$
$${{2{V_d}} \over {{V_p}}} = {1 \over 2}$$
$${{{V_p}} \over {{V_d}}} = {4 \over 1}$$

Answer

1 : 1

Answer

$$\sqrt2$$ : 1

Answer

2 : 1

Answer

4 : 1

Dual Nature of Matter and Radiation

The ratio of wavelengths of proton and deuteron accelerated by potential V p and V d is 1 : $\sqrt2$. Then the ratio of V p to V d will be :

Choose the correct answer: