Current Electricity Charging Discharging Of Capacitors Question 433

Question: Two wires that are made up of two different materials whose specific resistance are in the ratio 2 : 3, length 3 : 4 and area 4 : 5. The ratio of their resistances is

[Kerala PMT 2005]

Options:

A) 6 : 5

B) 6 : 8

C) 5 : 8

D) 1 : 2

Show Answer

Answer:

Correct Answer: C

Solution:

Resistance $ =\rho \frac{l}{A} $
$ \

Therefore $ $ \frac{R _{1}}{R _{2}}=\frac{{\rho _{1}}}{{\rho _{2}}}\times \frac{l _{1}}{l _{2}}\times \frac{A _{2}}{A _{1}}=\frac{2}{3}\times \frac{3}{4}\times \frac{5}{4}=\frac{5}{8} $