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