If `P` is the atmospheric pressure in the last problems find the percentage increase in tension of the string after heating

Options

A. `(25)/((1 - P//P_(0)))`
B. `(25)/((1 - P//P_(0)))`
C. `25 (1 - P//P_(0))`
D. `25 (1 - P//P_(0))`

Answer

A

Explanation

a. Atmospheric pressure `= P`
Tension before heating `= P_(0)A = PA`
Tension after heating `= P_(2)A - PA`
`= (5)/(4) P_(0) A - PA`
Increase in tension `= P_(0)A // 4`
% Increase = `((1//4) P_(0) A xx 100)/(P_(0) A - P.A) = (25)/((1 - P//P_(0)))`