Following represents a graph between v→ (wave – number) and V ( V is the potential applied to two sub-atomic particles A and B) Thus, relative masses of A and B can be

de-Broglie’s equation, λ=hmv=h2meV ∴ λ∝1Vm Also, wave number v→=1λ ∴ v→∝Vm Thus, greater the mass, greater the slope. Thus, mB>mA or mBmA>1 mAmB<1

Following represents a graph between v→ (wave – number) and V ( V is the potential applied to two sub-atomic particles A and B) Thus, relative masses of A and B can be

de-Broglie’s equation, λ=hmv=h2meV ∴ λ∝1Vm Also, wave number v→=1λ ∴ v→∝Vm Thus, greater the mass, greater the slope. Thus, mB>mA or mBmA>1 mAmB<1

AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

Following represents a graph between $\vec{v}$ (wave – number) and $\sqrt{V}$ ( $V$ is the potential applied to two sub-atomic particles A and B)

Thus, relative masses of A and B can be

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

$\frac{m_{A}}{m_{B}} = 1$

$\frac{m_{A}}{m_{B}} > 1$

$\frac{m_{A}}{m_{B}} < 1$

cannot be predicted

answer is C.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

de-Broglie’s equation, $λ = \frac{h}{m v} = \frac{h}{\sqrt{2 m e V}}$ $∴ λ \propto \frac{1}{\sqrt{V m}}$
Also, wave number    $\vec{v} = \frac{1}{λ} ∴ \vec{v} \propto \sqrt{V_{m}}$
Thus, greater the mass, greater the slope. Thus, $m_{B} > m_{A} o r \frac{m_{B}}{m_{A}} > 1$ $\frac{m_{A}}{m_{B}} < 1$