If P varies inversely as V and V varies directly as R², find the relationship between P and R given that R = 7 when P = 2

P = 98R²

PR² = 98

P = \(\frac{1}{98R²

P = $\frac{PR²}{98}$

Correct answer is B

P = $\frac{1}{v}$ and vR² = P = $\frac{k}{v}$ ......(i)

and v KR² .......(ii)

(where k is constant)

Subst. for v in equation (i) = p = $\frac{1^2}{KR}$ .....(ii)

when r = 7, p = 2

2 = $\frac{k}{7^2}$

k = 2 x 49

= 98

Subt. foe k in ....(iii)

P = $\frac{98}{R^2}$

PR² = 98

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