Choose the correct statement(s) : (a) All quantities may be represented dimensionally in tepfns of the base quantities.

Question

Choose the correct statement(s) : (a) All quantities may be represented dimensionally in tepfns of the base quantities.

Choose the correct statement(s) :

(a) All quantities may be represented dimensionally in tepfns of the base quantities.

(b) A base quantity cannot be represented dimensionally iryterms of the rest of the base quantities.

(c) The dimension of a base quantity in other base quantities is always zero.

(d) The dimension of a derived quantify is never zero in any base quantity.

Monjur Alahi

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2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

(a) All quantities may be represented dimensionally in terms of the base quantities.

(b) A base quantity cannot be represented dimensionally in terms of the rest of the base quantities.

(c) The dimension of a base quantity in other base quantities is always zero.

Statement (d) is not correct because A derived quantity can exist which is dimensionless for example fine structure constant which is given by α=2πe²/hc=1137where e is the electric charge and c is the speed of light and h is Planks constant.α is a derived quantity and is dimensionless.