Q.

A physical quantity x depends on quantities y and z as follows: x= Ay + B tan Cz, where A, B and C are constants. Which of the following do not have the same dimensions?

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a

x and B

b

C and z-1

c

y and BA

d

x and A

answer is D.

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Detailed Solution

x = Ay + B tan CzFrom the dimensional homogeneity[x] = [Ay] = [B]  ⇒ [xA] = [y] = [BA][Cz] = [M0L0T0]= Dimension lessx and B; C and Z-1; y and BAhave the same dimension but x and A have different dimension
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A physical quantity x depends on quantities y and z as follows: x= Ay + B tan Cz, where A, B and C are constants. Which of the following do not have the same dimensions?