CONVERT 700 DYNE INTO NEWTON USING DIMENSIONAL FORMULA.

CBSE Class 11-science Answered

CONVERT 700 DYNE INTO NEWTON USING DIMENSIONAL FORMULA.

Asked by swarajtopper | 30 Jul, 2015, 12:26: PM

Expert Answer

Dimensional formula of Force F = [M¹ L¹ T^-2]

Thus, a =1, b=1, c=-2
We know that Newton is in M.K.S system.

So as we convert MKS system into CGS system, we have
M₁ = 1kg ; L₁ = 1m ; T₁ = 1s and

M₂ = 1g ; L₂ = 1cm ; T₂ = 1s

n₁= 1 Newton and we have to find n₂

Using the formula
$begin mathsize 11px style straight n subscript 2 equals space straight n subscript 1 open parentheses straight M subscript 1 over straight M subscript 2 close parentheses to the power of straight a open parentheses straight L subscript 1 over straight L subscript 2 close parentheses to the power of straight b open parentheses straight T subscript 1 over straight T subscript 2 close parentheses to the power of straight c space space space equals 1 space open parentheses fraction numerator 1 kg over denominator 1 space straight g end fraction close parentheses to the power of 1 open parentheses fraction numerator 1 space straight m over denominator 1 space cm end fraction close parentheses to the power of 1 open parentheses fraction numerator 1 space straight s over denominator 1 space straight s end fraction close parentheses to the power of negative 2 end exponent space space space space equals 1 cross times open parentheses fraction numerator 10 cubed straight g over denominator 1 space straight g end fraction close parentheses to the power of 1 open parentheses fraction numerator 10 squared space cm over denominator 1 space cm end fraction close parentheses to the power of 1 cross times 1 space space space space equals 10 cubed space cross times 10 squared rightwards arrow straight n subscript 2 space equals space 10 to the power of 5 end style$

Answered by Yashvanti Jain | 15 Dec, 2017, 07:41: PM