A physical quantity x depends on quantities y and z as follows: x=Ay+Btan(Cz), where A,B and C are constants. Which of the followings do not have the same dimensions?
x and B
C and z−
y and B/A
x and A
A
y and B/A
B
x and B
C
x and A
D
C and z−
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Solution
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The correct option is Dx and A
Given x=Ay+Btan(Cz)
Each term in a equation has same dimensions.
⇒Dim(x)=Dim(Ay)=Dim(B)
⇒x and A cannot have same dimension.
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