A1.50-m cylinder of radius 1.10 cm is made of a complicated mixture of materials. its resistivity depends on the distance x from the left end and obeys the formula rho(x)=a+bx2, where a and b are constants. at the left end, the resistivity is 2.25×10−8ω⋅m, while at the right end it is 8.50×10−8ω⋅m. what is the resistance of the rod?

Resistance = 3.35* Ω

Explanation:

Since resistance R = ρ

whereas

resistivity is given for two ends. At the left end resistivity is whereas x at the left end will be 0 as distance is zero. Thus

At the right end x will be equal to the length of the rod, so

Thus resistance will be R = ρ

where A = π

so,

no. dot product   =0 when vecs at right angles