Some physical quantities are given in Column Ι and some possible SI units in which these quantities may be expressed are given in Column ΙΙ . Match the physical quantities in Column Ι with the units in Column ΙΙ .
Column Ι Column ΙΙ
(q) (kilogram) (metre) 3 (second) –2 R - universal gas constant, T - absolute temperature, M - molar mass
(r) (metre) 2 (second) –2 F - force, q - charge, B - magnetic field
(s) (farad) (volt) 2 (kg) –1 G - universal gravitational constant, M e - mass of the earth R e - radius of the earth
Text Solution
Verified by ExpertsCHECK THE SOLUTION
→ (p),(q); → (r), (s); → (r), (s); → (r), (s)
Sol. 
= Force
[GM e M s ] = [Force] [ cy ] [R e 2 ]
= MLT –2 L 2 = ML 3 T –2
Hence S Ι unit of GM e M s , will be (kilogram) (meter 3 )(sec –2 )
ie same as (volt) (coulomb) (metre)
= V R.M.S.
= [V R.M.S. ] 2 = L 2 T –2
Hence S Ι unit will be (metre) 2 (second) –2 ie same as (farad) (volt) 2 (kg) –1
= 
= [V 2 ] = L 2 T –2
Hence S Ι unit (metre) 2 (second) –2 i.e. same as (farad) (volt) 2 (kg) –1
= 
= 
= L 2 T –2
Hence S Ι unit will be (meter) –2 (second) –2 i.e. same as (farad) (volt) 2 (kg) –1
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