Physical World Units And Measurements Ques 30

30. Dimensional formula of self inductance is

[1989]

(a) $[MLT^{-2} A^{-2}]$

(b) $[ML^{2} T^{-1} A^{-2}]$

(c) $[ML^{2} T^{-2} A^{-2}]$

(d) $[ML^{2} T^{-2} A^{-1}]$

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Answer:

Correct Answer: 30.(c)

Solution:

  1. (c) $L=\varepsilon(\frac{d t}{d I})=\frac{W}{q}[\frac{d i}{d t}]=\frac{W}{i \cdot t}[\frac{d i}{d t}]$

or, $[L]=\frac{[ML^{2} T^{-2}][T]}{[AT][A]}=[ML^{2} T^{-2} A^{-2}]$