InterviewSolution
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InterviewSolution
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Dimensionsal methods provide three major advantages in verification , deviation , and changing the system of units . Any empirical formula that is derived based on this method has to be verified and propportionality constants found by experimental means . The presence or absence of certain factors - non dimensional constants or variables - cannot be identified by this method . So every dimensionally correct relation cannot be taken as perfectly correct. If `alpha` kilogram , `beta` meter , and `gamma` second are the fundamental units , `1 cal` can be expressed in new units as `[ 1 cal = 4.2 J]`A. `alpha^(-1) beta ^(2) gamma`B. `alpha^(-1) beta^(-2) gamma`C. ` 4.2 alpha^(-1) beta`D. ` 4.2 alpha^(-1) beta^(-2) gamma^(2)` |
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Answer» Correct Answer - D ` 1 cal = 4.2 J = 4.2 kg m^(2) s^(-2) = n_(2) (alpha kg) (beta m)^(2) (gamma s)^(-2)` `rArr n_(2) = 4.2 alpha ^(-1) beta^(-2) gamma^(2)` So , `1 cal = (4.2 alpha^(-1) beta^(-2) gamma^(2))` new units |
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