It is given that I varies directly as m. |
(a) Write an equation which relates 1 and m. |
(b) Find the constant of proportion (k), when 1 is 6 then m is 18. |
(c) Find 1, when m is 33. |
(d) Find m when 1 is 18. |
Answer:
Given I \[\propto \] m (a) I = km, where k is a constant (b) l = 6, m = 18 l =km \[6\text{ }=\text{ }k\times 18\] \[\Rightarrow \] \[k=\frac{6}{18}\] \[\therefore \] \[k=\frac{1}{3}\] (c) m =33, l=? \[\because \] I = km \[l=\frac{1}{3}\times 33\] \[\left[ \because \,\,k=\frac{1}{3} \right]\] \[\therefore \] l=11 (d) l = 8,m=? l=km \[\Rightarrow \] \[8=\frac{1}{3}\times m\] M=24
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