The resistance of a wire is `5 Omega` at `50^@C` and `6 Omega` at `100^@C` . The resistance of the wire at `0^@C` will be

Options

A. `1 Omega`
B. `2 Omega`
C. `3 Omega`
D. `4 Omega`

Answer

D

Explanation

For first case , `a=(5-R_0)/(50R_0)`
and for second case, `a=(6-R_0)/(100R_0)`
`therefore(5-R_0)/(50R_0)=(6-R_0)/(100R_0)`
`therefore R_0= 4 Omega`