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JEE Advanced 2020 Concept Recapitulation Test 1 Paper 1
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© examsnet.com
Question : 1
Total: 54
If the dimensions of length are expressed as
G
x
c
y
h
z
;
where
G
,
c
and
h
are the universal gravitational constant, speed of light and Planck's constant respectively, then
x
=
1
2
,
y
=
1
2
x
=
1
2
,
z
=
1
2
y
=
1
2
,
z
=
3
2
y
=
−
3
2
,
z
=
1
2
Validate
Solution:
Length
∝
G
x
c
y
h
2
L
=
[
M
−
1
L
3
T
−
2
]
x
[
L
T
−
1
]
y
[
M
L
2
T
−
1
]
2
By comparing the power of
M
,
L
and
T
in both sides we get
−
x
+
z
=
0
,
3
x
+
y
+
2
z
=
1
and
−
2
x
−
y
−
z
=
0
By solving above three equationswe get
x
=
1
2
,
y
=
−
3
2
,
z
=
1
2
© examsnet.com
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