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Byju's Answer
Standard XII
Mathematics
Linear Functions
Let x and a s...
Question
Let x and a stand for distance. Is
∫
d
x
a
2
-
x
2
=
1
a
sin
-
1
a
x
dimensionally correct?
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Solution
Dimension of the left side of the equation=
∫
d
x
a
2
-
x
2
=
∫
L
L
2
-
L
2
=
L
0
Dimension of the right side of the equation =
1
a
sin
-
1
a
x
=
L
-
1
So,
∫
d
x
a
2
-
x
2
≠
1
a
sin
-
1
a
x
Since the dimensions on both sides are not the same, the equation is dimensionally incorrect.
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Let x and a stand for distance. Is
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