Q.

In a hypothetical set of units1 star joule = 103 joule1 star Newton = 104 Newton1 star second = 10 secondHow many star meters should be in one meter in this hypothetical set of units?

Moderate

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By Expert Faculty of Sri Chaitanya

answer is 10.

(Detailed Solution Below)

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Detailed Solution

Given, L∝EaFbTcL=ML2T−2aM1L1T−2bTcL=Ma+bL2a+bT−2a−2b+ca+b=0⇒2a+b=1−2a−2b+c=0⇒2a−a=1a=1⇒b=−1∴L=EaFbTc=E1F−1 or length = energy / force (1 star meter) =(1 star joule )1(1 star N)−1 =103104−1( Joule )1(N)−11 star meter =10−1m∴1m=10 star meter

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