Two wires of the same material have length 6 cm and 10 cm and radii 0.5 mm and 1.5 mm respectively. They are connected in series across a battery of 16 V. the p.d. across the shorter wire is

Options

A. 5 V
B. 13.5V
C. 27 V
D. 10 V

Answer

B

Explanation

`l_(1)=6cm,l_(2)=10cm`,
`r_(1)=0.5xx10^(-3)`
`r_(2)=1.5xx10^(-3)`
In series combination `i=` constant
`(V_(1))/(V_(2))=(R_(1))/(R_(2))=((rhol_(1))/(A_(1)))/((rhol_(2))/(A_(2)))=(l_(1))/(l_(2))xx(A_(2))/(A_(1))`
`V_(1)+V_(2)=16V`
Solving for `V_(1)=13.5V`