Ametal rod 80cm long lengthens by 0.090cm when its temperature rises by 93.6$^o$c. what is the linear expansivity of the metal (a)0.0012/k (b)0.000012/k (c)12/k (d)1.2/k

(b)0.000012/k

Explanation:

The linear expansion of the metal rod is given by

where

is the linear expansion

is the initial length of the rod

is the linear expansivity

is the increase in temperature

By re-arranging the equation, we find the linear expansivity:

energy stored in the capacitor= 9.72 x 10⁻⁴ j

explanation:

the energy stored in the capacitor is given by

e= 1/2 c v²

e= energy stored

c= capacitance= 1.5 µc= 1.5 x 10⁻⁶f

v= potential difference=36 v

so energy stored= e= 1/2 (1.5 x 10⁻⁶) (36)²

energy stored= 9.72 x 10⁻⁴j