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Test Index
Dual Nature of matter and Radiation Part 2
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Section:
Physics
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© examsnet.com
Question : 16
Total: 93
An electron of mass '
m
' with an initial velocity
→
v
=
v
0
^
i
(
v
0
>
0
)
enters an electric field
→
E
=
−
E
0
^
k
. If the initial de Broglie wavelength is
λ
0
, the value after
t
would be
[24 Jan 2025 Shift 1]
‌
λ
0
√
1
+
‌
e
2
E
0
2
t
2
m
2
v
0
2
λ
0
√
1
+
‌
e
2
E
0
2
t
2
m
2
v
0
2
λ
0
‌
λ
0
√
1
−
‌
e
2
E
0
‌
2
t
2
m
2
v
0
‌
2
Validate
Solution:
m
v
0
→
×
‌
E
=
−
E
0
∧
k
‌
λ
0
=
‌
h
m
v
0
After time '
t
'
v
‌
(
t
)
=
(
‌
E
0
e
m
)
â‹…
t
So,
v
=
√
v
0
2
+
(
‌
e
E
0
t
m
)
2
Now,
λ
=
‌
h
m
√
v
0
2
+
(
‌
e
E
0
t
m
)
2
‌
λ
0
=
‌
h
m
v
0
‌
⇒
‌
λ
λ
0
=
‌
1
√
1
+
(
‌
e
E
0
t
m
v
0
)
2
© examsnet.com
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