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Units And Measurement

Question
CBSEENPH11016597

The surface tension of a liquid is 40 dyne/cm. Express it in N/m.

Solution

We know,
1 dyne = 10-5 N
and
    1cm = 10-2m
Therefore, 
Surface  tension in terms of N/m is given by, 
 40 dyne over cm equals 40 fraction numerator 10 to the power of negative 5 end exponent straight N over denominator 10 to the power of negative 2 end exponent straight m end fraction 
               = 40 x 10-3 N/m
               = 0.040 N/m