Resistance of a tungsten wire at (150^ C ) is resistance is (0.0045^ C ⁻¹ ). The resistance of this wire at (500^ C ) is

Step-by-step solution

Resistance of tungsten wire at (150^ C ) is given as ( aligned & R₁₅₀=133 & R₀( l + t)=133 [ R_t=R₀( l + t) ] & R₀( l +150 )=133 (i) aligned ) Similarly, resistance of wire at (500^ C ) is given as ( aligned & R₅₀₀=R₀(1+500 ) & R₀(1+500 )=R₅₀₀ (ii) aligned ) From Eqs. (i) and (ii), we get ( aligned & R₀(1+150 ) R₀(1+500 ) = 133 R₅₀₀ & R₅₀₀= 133(1+500 ) 1+150 = 133(1+500 0.0045) 1+150 0.0045 [ given, =0.0045^ C ⁻¹ ] & = 43225 1.675 =258.06 258 aligned )