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JEE Advanced 2023 Paper 1 Solutions
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© examsnet.com
Question : 8
Total: 51
A Hydrogen-like atom has atomic number
Z
. Photons emitted in the electronic transitions from level
n
=
4
to level
n
=
3
in these atoms are used to perform photoelectric effect experiment on a target metal. The maximum kinetic energy of the photoelectrons generated is
1.95
eV
. If the photoelectric threshold wavelength for the target metal is
310
nm
, the value of
Z
is____________
[Given
h
c
=
1240
eV
-nm and
R
h
c
=
13.6
eV
, where
R
is the Rydberg constant,
h
is the Planck's constant and
c
is the speed of light in vacuum]
Your Answer:
Validate
Solution:
∆
E
4
to
3
=
1.95
eV
+
1240
310
eV
13.6
Z
2
(
1
3
2
−
1
4
2
)
=
5.95
13.6
Z
2
7
9
×
16
=
5.95
Z
2
=
5.95
×
9
×
16
13.6
Solving
Z
=
3
© examsnet.com
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