Question

let X Y and Z be the three physical quantities having different dimensions which of the following mathematical operation must be meaningless?

a)x/y=z

b)x × y/ x+y=z

c) x²y³=z

d)z=x²/y³​

Answer 1

Answer:

Correct option is C)

Let the relation be x

a

=y

b

z

c

.

Now putting the units in this expression,

(gcm

2

s

−5

)

a

=(gs

−1

)

b

(cms

−2

)

c

Equating the powers of various quantities independently, we get

a=b

2a=c

5a=b+2c

Solving these equations and putting in the original expression, we get x=yz

2

.