If Pressure (P), Length (L) and Momentum (J) are taken as fundamental quantities.Find the dimensions of Energy(E).
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Answer:
Answer
We know that
P=
A
P
=
L
2
MLT
−2
=ML
−1
T
−2
A=L
2
L=L
Let E=P
x
A
y
L
z
E=ML
2
T
−2
=(ML
−1
T
−2
)
x
(L
2
)
y
(L)
2
=M
x
L
−x+2y+z
T
−2x
x=1,−2x=−2
x=1
−x+2y+z=2
z=0,2y=2+1
y=
2
3
∴E=P
1
A
3/2
L
0
.
Explanation:
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