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NEET 2021 Model Test Paper 2
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© examsnet.com
Question : 43
Total: 180
The speed of light (C), gravitational constant (G) and planck's constant (h) are taken as fundamental units in a system the dimensions of time in this new system should be
G
1
∕
2
h
1
∕
2
C
−
5
∕
2
G
−
1
∕
2
h
1
∕
2
C
1
∕
2
G
1
∕
2
h
1
∕
2
C
−
3
∕
2
G
1
∕
2
h
1
∕
2
C
1
∕
2
Validate
Solution:
T
∝
C
a
G
b
h
c
T
=
K
C
a
G
b
h
c
[
M
0
L
0
T
1
]
=
[
L
1
T
−
1
]
a
[
M
−
1
L
3
T
−
2
]
b
[
M
1
L
2
T
−
1
]
c
[
M
0
L
0
T
1
]
=
[
M
−
b
+
c
L
a
+
3
b
+
2
c
T
−
a
−
2
b
−
c
]
Comparing of dimensions
M
,
L
and
T
−
b
+
c
=
0
⇒
a
+
3
b
+
2
c
=
0
⇒
−
a
−
2
b
−
c
=
L
on solving we get
a
=
−
5
2
b
=
1
2
c
=
1
2
⇒
T
=
C
−
5
2
G
1
2
h
1
2
© examsnet.com
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