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Class 11 NEET Physics Physical World, Units and Measurements
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© examsnet.com
Question : 15
Total: 67
If force [F], acceleration [A] and time [T] are chosen as the fundamental physical quantities. Find the dimensions of energy.
[NEET 2021]
[
F
]
[
A
]
[
T
]
[
F
]
[
A
]
[
T
2
]
[
F
]
[
A
]
[
T
−
1
]
[
F
]
[
A
−
1
]
[
T
]
Validate
Solution:
👈: Video Solution
Energy,
E
∝
F
a
A
b
T
c
[
E
]
=
[
F
a
]
[
A
b
]
[
T
c
]
⇒
[
M
L
2
T
−
2
]
=
[
M
L
T
−
2
]
a
[
L
T
−
2
]
b
[
T
]
c
[
M
L
2
T
−
2
]
=
[
M
a
L
a
+
b
T
−
2
a
−
2
b
+
c
]
Comparing dimensions on both sides.
⇒
a
=
1
;
a
+
b
=
2
and
−
2
=
−
2
a
−
2
b
+
c
⇒
b
=
1
⇒
−
2
=
−
2
−
2
+
c
⇒
c
=
2
[
E
]
=
[
F
A
T
2
]
© examsnet.com
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