The ratio of de Broglie wave lengths of two particles, having mass ratio 1 : 3 and kinetic energy ratio 2 : 1 is

Open MARKS Web Download App

Search any question & find its solution

Question: Answered & Verified by Expert

The ratio of de Broglie wave lengths of two particles, having mass ratio

1 : 3

and kinetic energy ratio

2 : 1

is

ChemistryStructure of AtomAP EAMCETAP EAMCET 2018 (25 Apr Shift 1)

Options:

A $3 : 2$
B $\sqrt{3} : \sqrt{2}$
C $\sqrt{2} : \sqrt{3}$
D $2 : 3$

Solution:

2211 Upvotes Verified Answer

The correct answer is:

\sqrt{3} : \sqrt{2}

λ = \sqrt{\frac{h}{2 mKE}} \frac{m_{a}}{m_{b}} = \frac{1}{3}; \frac{{KE}_{a}}{{KE}_{b}} = \frac{2}{1} \frac{λ_{a}}{λ_{b}} = \sqrt{\frac{m_{b} \times {KE}_{b}}{m_{a} \times {KE}_{a}}} = \sqrt{\frac{3 \times 1}{1 \times 2}} = \sqrt{\frac{3}{2}}

.....

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.

Use on iOS or Desktop Download from Google Play