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Question
Physics
Write the dimensions of a × b in the relation E=(b-x2/a t), where E is the energy, x is the displacement, and t is the time.
Q. Write the dimensions of
a
×
b
in the relation
E
=
a
t
b
−
x
2
, where
E
is the energy,
x
is the displacement, and
t
is the time.
2427
176
Physical World, Units and Measurements
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A
M
L
2
T
14%
B
M
−
1
L
2
T
1
40%
C
M
L
2
T
−
2
33%
D
M
L
T
−
2
13%
Solution:
Here,
b
and
x
2
=
L
2
have same dimensions.
Also,
a
=
E
×
t
L
2
=
(
M
L
2
T
−
2
)
T
L
2
=
M
−
1
T
1
a
×
b
=
[
M
−
1
L
2
T
1
]