A cylindrical wire has a 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

Step-by-step solution

Given, mass, m=(0.3 0.003) g Radius, r=(0.5 0.005) mm Length, l=(6 0.06) cm Density of cylinder, = Mass Volume = m r² l Fraction error in , = m m + 2 r r + l l Percentage error in , aligned & 100= m m 100+ 2 r r 100+ l l 100 &= 0.003 0.3 100+2 0.005 0.5 100+ 0.06 6 100 &=1+2(1)+1=4 % aligned