JEE Advanced 2016 Paper 1

A metal is heated in a furnace where a sensor is kept above the metal surface to read the power radiated (P) by the metal. The sensor has a scale that displays log2(

P

P0

),where P0 is constant.when the metal Surface is at temperature of 487°C,the sensor shows a value 1. Assume that the emissivity of the metallicsurface remains constant. What is the value displayed by the sensor when the temperature of the metal surface is raised to 2767 °C ?