A physical quantity x depends on quantities y and z as follows: x=Ay+BtanCz, where A,B and C are constants. Which of the following do not have the same dimensions.
A
x and B
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B
C and z−1
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C
y and BA
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D
x and A
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Solution
The correct option is Dx and A Given relation is x=Ay+BtanCz ⇒[x]=[A][y]=[B] ⇒[x]≠[A] Also, ⇒[y]=[BA] and, the dimension of C will be the dimension of z−1.