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Q.

A wire has mass 0.3±0.003  g , radius 0.5±0.005  mm  and length 6±0.06  cm . The maximum percentage error in the measurement of its density is

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a

2

b

3

c

4

d

5

answer is C.

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Detailed Solution

density=massvolume=masscross section area×lengthρ=mV=mπr2l∆ρρ=∆mm+2∆rr+∆ll        =0.0030.3+20.00050.05+0.066          = 3300+25500+6600         =4100Percentage error in density is ∆ρρ×100=4%
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A wire has mass 0.3±0.003  g , radius 0.5±0.005  mm  and length 6±0.06  cm . The maximum percentage error in the measurement of its density is