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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 work function of a substance is 4.0 eV. The longest wavelength of light that can cause photoelectron emission from this substance is approximately:
A
540 nm
B
400 nm
C
310 nm
D
220 nm
Medium
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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
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A Laser light of wavelength
$660nm$
is used to weld Retina detachment. If a Laser pulse of width
$60ms$
and power
$0.5kW$
is used, the approximate number of photons in the pulse are:
[Take Planck's constant
$h=6.62×10_{−34}Js$
]
A
$10_{20}$
B
$10_{18}$
C
$10_{22}$
D
$10_{19}$
Medium
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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
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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
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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
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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
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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
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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
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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
$λ_{CM}=(2λ_{1}+λ_{2} )$
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