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Physics
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Dual Nature of Radiation and Matter
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JEE Advanced Questions
Dual Nature Of Radiation And Matter
Physics
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The allowed energy for the particle for a particular value of n is proportional to :
A
a
−
2
B
a
−
3
/
2
C
a
−
1
D
a
2
Hard
JEE Advanced
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>
A pulse of light of duration 100 ns is absorbed completely by a small object initially at rest. Power of the pulse is 30
m
W
and the speed of light is
3
×
1
0
8
m
/
s
. The final momentum of the object is:
A
0
.
3
×
1
0
−
1
7
k
g
m
s
−
1
B
1
.
0
×
1
0
−
1
7
k
g
m
s
−
1
C
3
.
0
×
1
0
−
1
7
k
g
m
s
−
1
D
9
.
0
×
1
0
−
1
7
k
g
m
s
−
1
Hard
JEE Advanced
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>
Some laws/processes are given in Column I. Match these with the physical phenomena given in Column II and
indicate your answer by darkening appropriate bubbles in the 4 4 matrix given in the ORS.
List 1
Transition between two atomic energy levels
Electron emission from a material
Mosleys law
Change of photon energy into kinetic energy of electrons
List 2
Characteristic X-rays
Photoelectric effect
Hydrogen spectrum
β
-decay
Hard
JEE Advanced
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The speed of the particle that can take discrete values is proportional to
A
n
−
3
/
2
B
n
−
1
C
n
1
/
2
D
n
Hard
JEE Advanced
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>
The graph between
1
/
λ
and stopping potential (V) of three metals having work functions
ϕ
1
,
ϕ
2
and
ϕ
3
in an experiment of photo-electric effect is plotted as shown in the figure. Which of the following statement(s)
i
s
/
a
r
e
correct? [Here
λ
is the wavelength of the incident ray].
A
Ratio of work functions
ϕ
1
:
ϕ
2
:
ϕ
3
=
1
: 2 : 4
B
Ratio of work functions
ϕ
1
:
ϕ
2
:
ϕ
3
=
4
: 2 : 1
C
tan
Θ
is directly proportional to
h
c
/
e
, where
h
is Planck's constant and
c
is the speed of light.
D
The violet colour light can eject photoelectrons from metals 2 and 3.
Hard
JEE Advanced
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>
Light of wavelength
λ
p
h
falls on a cathode plate inside a vacuum tube as shown in the figure. The work function of the cathode surface is
ϕ
and the anode is a wire mesh of conducting material kept at a distance d from the cathode. A potential difference V is maintained between the electrodes. If the minimum de Broglie wavelength of the electrons passing through the anode is
λ
e
, which of the following statement(s) is(are) true?
A
λ
e
increases at the same rate as
λ
p
h
for
λ
p
h
<
h
c
/
ϕ
B
λ
e
is approximately halved, if d is doubled
C
λ
e
decreases with increase in
ϕ
and
λ
p
h
D
For large potential difference
(
V
>
>
ϕ
/
e
)
λ
e
is approximately halved if V is made four time
Hard
JEE Advanced
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>