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Units And Measurement

Question
CBSEENPH11016567
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What is the relation between the value of gravitational constant in SI system and cgs system?

Solution
Dimensional formula of gravitational constant is [M–1L3T–2].
If n1 and n2 be the numerical values of gravitational constant in SI and cgs systems, then
                           straight n subscript 1 SI equals straight n subscript 2 cgs
rightwards double arrow space space SI over cgs equals straight n subscript 2 over straight n subscript 1 equals open parentheses fraction numerator straight M subscript 1 over denominator straight M 2 end fraction close parentheses to the power of negative 1 end exponent open parentheses straight L subscript 1 over straight L subscript 1 close parentheses cubed open parentheses straight T subscript 1 over straight T subscript 1 close parentheses to the power of negative 2 end exponent
             equals open parentheses fraction numerator 1 kg over denominator 1 gm end fraction close parentheses to the power of negative 1 end exponent open parentheses fraction numerator 1 straight m over denominator 1 cm end fraction close parentheses cubed open parentheses fraction numerator 1 straight s over denominator 1 straight s end fraction close parentheses to the power of negative 2 end exponent
             space space space space space space space space space space space space space space space equals open parentheses 1000 over 1 close parentheses to the power of negative 1 space end exponent open parentheses 100 over 1 close parentheses cubed space open parentheses 1 over 1 close parentheses to the power of negative 2 end exponent   
              = 1000
space space therefore   SI = 1000 cgs
               

Some More Questions From Units and Measurement Chapter

Can we use different units to measure same physical quantity?

To measure a physical quantity X, the unit U is repeatedly used for n times. What is the magnitude of physical quantity?

Does the numerical factor in the quantitative measurement depend on the system of unit used?

Is one unit sufficient to measure a physical quantity?

Can a physical quantity have two or more units? Give example.

What are fundamental quantities?

How many fundamental quantities are there in mechanics?

How many fundamental quantities are there in Physics?

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