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CBSE Class 11-science Answered

In a new system, the unit of mass is made 10 times, the unit of length is made 1/100 times and unit of time is made 10 times. Magnitude of 1J in the new system of unit is 10^x. What is the value of x  
Asked by Anil | 21 May, 2017, 09:49: PM
answered-by-expert Expert Answer
begin mathsize 12px style The space dimensions space of space joule space in space the space regular space system space of space units space is left square bracket straight J right square bracket equals left square bracket ML squared straight T to the power of negative 2 end exponent right square bracket In space the space new space system comma space straight M rightwards arrow 10 straight M semicolon space straight L rightwards arrow straight L over 100 semicolon straight T rightwards arrow 10 straight T therefore open square brackets 1 straight J close square brackets subscript new equals open square brackets 10 straight M close square brackets cross times open square brackets straight L over 100 close square brackets squared cross times open square brackets 10 straight T close square brackets to the power of negative 2 end exponent therefore open square brackets 1 straight J close square brackets subscript new equals open square brackets ML squared straight T to the power of negative 2 end exponent close square brackets cross times open parentheses 10 cross times fraction numerator 1 over denominator 100 cross times 100 end fraction cross times fraction numerator 1 over denominator 10 cross times 10 end fraction close parentheses therefore open square brackets 1 straight J close square brackets subscript new equals 10 to the power of negative 5 end exponent open square brackets ML squared straight T to the power of negative 2 end exponent close square brackets therefore straight x equals negative 5 end style
Answered by Romal Bhansali | 22 May, 2017, 12:43: PM

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