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If P varies inversely as V and V varies directly as R2, find the relationship...

Mathematics
JAMB 1987

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
  • A. P = 98R2
  • B. PR2 = 98
  • C. P = \(\frac{1}{98R2
  • D. P = \(\frac{PR2}{98}\)
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Correct Answer: Option B
Explanation
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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WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709