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The dimension of universal gravitational constant is……….?

Physics
JAMB 2015

The dimension of universal gravitational constant is……….?
  • A. \( M­^{–1}L^3 T^{–2} \)
  • B. ML3T2
  • C. ML3
  • D. MLT-2
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Correct Answer: Option A
Explanation
f α (MM ÷g2)

F(GMM ÷ r2) [G – gravitational constant]

GMM = Fr2

G = F02 ÷ MM = m × aπr2 ÷ MM (f = ma)

= (m × m5-2 × r2) ÷ MM

= (Kg.m52 × m2) ÷ Kg.Kg

=1 ÷ kg.m3.52

The dimension mathematically representation have a quantities of M, L AND T

M (Mass) = kg, L (Length) = M, T (Time) second

G = kg-1 m2.52(Using dimension rule)

M-1.L3.T-2

∴ The universal gravitational constant (G) =\( M­^{–1}L^3 T^{–2} \)

There is an explanation video available below.


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Explanation Video

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Post UTME Past Questions Agent
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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