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Dual Nature of Radiation question

2018 · 15 Apr · Shift 1 · Q55

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JEE Main
Physics
Dual Nature of Radiation
2018 · 15 Apr · Shift 1 · Q55

Dual Nature of Radiation question

2018 · 15 Apr · Shift 1 · Q55

JEE MainPhysicsDual Nature of RadiationMCQ+4 / −1

Two electrons are moving with non-relativistic speed perpendicular to each other. If corresponding de Broglie wavelength are

{\lambda _1}

and

{\lambda _2},

their de Broglie wavelength in the frame of reference attached to their center of masses :

A
${\lambda _{CM}} = {\lambda _1} = {\lambda _2}$
B
${\lambda _{CM}} = {{2{\lambda _1}{\lambda _2}} \over {\sqrt {\lambda _1^2 + \lambda _2^2} }}$
C
${1 \over {{\lambda _{CM}}}} = {1 \over {{\lambda _1}}} + {1 \over {{\lambda _2}}}$
D
${\lambda _{CM}} = \left( {{{{\lambda _1} + {\lambda _2}} \over 2}} \right)$

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