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A wire of length `l = +- 0.06cm` and radius `r =0.5+-0.005 cm` and mass `m = +-0.003gm`. Maximum percentage error in density isA. (a) `4`B. (b) `2`C. ( c ) `1`D. (d) `6.8` |
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Answer» Correct Answer - A (a) `rho = (m)/(l pir^(2))` `(Deltarho)/(rho) = (Deltam)/(m) + (2pir)/( r ) + (Deltal )/(l )` Putting the values `Deltal = 0.06 cm, l = 6cm`, `Deltar = 0.005 cm`, `r = 0.5cm`, `m= 0.3gm`, `Deltam = 0.003gm` :. `(Deltarho)/(rho) = (4)/(100)` :. `(Deltarho)/(rho) xx 100 = 4%` |
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