Q 2624345251.     In the circuit shown the resistance `R` is kept in a chamber whose temperature is `20^0C` which remains constant. The initial temperature and resistance of `R` is `50^0C` and `15Omega` respectively. The rate of change of resistance `R` with temperature is `1/2 Omega // text()^0C` and the rate of decrease oftemperature of `R` is `ln (3/100)` times the temperature difference from the surrounding (Assume the resistance `R` loses heat only in accordance with Newton's law of cooling). lf `K` is closed at `t = 0`, then find the

(a) value of R for which power dissipation in it is maximum.
(b) temperature of R when power dissipation is maximum.
(c) time after which the power dissipation will be maximum.