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In the SI system the proportionality c...

In the SI system the proportionality constant in Columb's law namely ` (1)/(4piin_0) ` carries the value of

A

` 3xx 10 ^(10) Nm^(2) //C^(2)`

B

` 9 xx 10 ^(8) Nm^(2)//C^(2)`

C

` 9 xx 10 ^(9) Nm^(2)//C^(2)`

D

` 8 xx 10 ^(9) Nm^(2)//C^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Since permittivity in free space,
` " " in_0 = 8.85 xx 10 ^(-12) C^(2) N^(-1) m^(-2)`
` therefore " " (1)/(4piin_0) = ( 1)/(4 xx 3.14 xx 8.85 xx 10 ^(-12)) `
` = 9 xx 10 ^(9) N-m^(2) //C^(2) `
` " " [because pi = 3.14 ]`
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