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Dual Nature of Radiation and Matter
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JEE Mains Questions
Dual Nature Of Radiation And Matter
Physics
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The de - Broglie wavelength associated with the electron in the
$n=4$
level is :
A
half of the de-Broglie wavelength of the electron in the ground state
B
four times the de-Broglie wavelength of the electron in the ground state
C
$1/4_{th}$
of the de-Broglie wavelength of the electron in the ground state
D
two times the de-Broglie wavelength of the electron in the ground state
Hard
JEE Mains
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A particle
$A$
of mass
$m$
and initial velocity
$v$
collides with a particle
$B$
of mass
$2m $
which is at rest. The collision is head on, and elastic. The ratio of the de-Broglie wavelengths
$λ_{A}$
to
$λ_{B}$
after the collision is :
A
$λ_{B}λ_{A} =21 $
B
$λ_{B}λ_{A} =31 $
C
$λ_{B}λ_{A} =2$
D
$λ_{B}λ_{A} =32 $
Medium
JEE Mains
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For which of the following particles will it be most difficult to experimentally verify the de-Broglie relationship?
A
An electron
B
A proton
C
An
$α−particle$
D
A dust particle
Hard
JEE Mains
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If electron charge e, electron mass m, speed of light in vacuum c and Planck's constant h are taken as fundamental constant h are taken as fundamental quantities, the permeability of vacuum
$μ_{0}$
can be expressed in units of
A
$(he_{2}mc_{2} )$
B
$(me_{2}h )$
C
$(me_{2}hc )$
D
$(ce_{2}h )$
Hard
JEE Mains
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If a strong diffraction peak is observed when electrons are incident at an angle `
$i$
' from the normal to the crystal planes with distance `d' between them (see figure), de Broglie wavelength
$λ_{dB}$
of electrons can be calculated by the relationship
$(n$
is an integer):
A
$2d$
sin i
$=nλ_{dB}$
B
$d$
cos i
$=nλ_{dB}$
C
$d$
sin i
$=nλ_{dB}$
D
$2d$
cos i
$=nλ_{dB}$
Hard
JEE Mains
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Two electrons are moving with non-relativistic speeds perpendicular to each other. If corresponding de Broglie wavelengths are
$λ_{1}$
and
$λ_{2}$
, their de Broglie wavelength in the frame of reference attached to their centre of mass is:
A
$λ_{CM}=λ_{1}=λ_{2}$
B
$λ_{CM}1 =λ_{1}1 +λ_{2}1 $
C
$λ_{CM}=λ_{1}_{2}+λ_{2}_{2} 2λ_{1}λ_{2} $
D
$λ_{CM}=(2λ_{1}+λ_{2} )$
Medium
JEE Mains
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The potential energy of a particle varies as
$V(x)=E_{o};0≤x≤1$
$=0;x>1$
For
$0≤x≤1$
, de Broglie wavelength is
$γ_{1}$
and for
$x>1$
the de Broglie wavelength is
$γ_{2}$
.
Total energy of the particle is
$2E_{o}$
. If
$γ_{1}/γ_{2}=x $
. Find
$x$
Hard
JEE Mains
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De-Broglie wavelength of an electron accelerated by a voltage of 50 V is close to:
$(∣e∣=1.6×10_{−19}C,m_{e}=9.1×10_{−31}kg,h=6.6×10_{−34}Js).$
A
$0.5A˚$
B
$1.7A˚$
C
$2.4A˚$
D
$1.2A˚$
Hard
JEE Mains
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Photon of frequency
$_{′}v_{′}$
has a momentum associated with it. If
$_{′}c_{′}$
is the velocity of light, the momentum
is
A
$v/c$
B
$hvc$
C
$hv/c$
$_{2}$
D
$hv/c$
Medium
JEE Mains
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A parallel beam of electrons travelling in x-direction falls on a slit of width d. If after passing the slit, an electron acquires momentum
$p_{y}$
in the y direction, then for a majority of electrons passing through the slit (h is Planck's constant).
A
$∣P_{y}∣d<h$
B
$∣P_{y}∣d≃h$
C
$∣P_{y}∣d>>h$
D
$∣P_{y}∣d>h$
Hard
JEE Mains
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