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DEAR PARASHAR CHATTARJEE,
ACCORDING TO THE GIVEN CONDITIONS THE EXPONENT TERM MUST BE DIMENSIONLESS
SINCE THE EXPONENT TERM IS ALWAYS DIMENSIONLESS,
THEREFORE,
DIMENSIONS OF THE QUANTITY (ALPHA)t2 MUST BE DIMENSIONLESS,
HENCE DIMENSIONS OF APLHA= T-2
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(alpha) T2=M0L0T0
(alpha)=[ M0L0T-2]
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