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?