Question

In the expression 1+ x + x2, what should be the dimensions of the quantity x?​

Answer 1

Given :   Expression 1 + x + x²

To Find :  dimension  of  quantity x

Solution:

Fundamental  Dimensions

M - Mass

L - Length

T - Time

Different Quantities can be added if they have same dimensions

Here 1 + x + x²   is being added

and 1 is dimension less

also x  and x²  having same Dimensions

so they must be dimensionless

quantity x  is Dimensionless

dimension if this quantity x  is M⁰L⁰T⁰

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