question_answer

A cylindrical tube of radius r and length l, fitted with a cork is shown in figure.      The coefficient of friction between the cork and the tube is The tube contains an ideal gas at temperature T, and atmospheric pressure \[{{P}_{0}}\]. The tube is slowly heated, the cork pipe out when temperature is doubled. Assume uniform temperature throughout gas at any instant. If the is normal force per unit length exerted by the cork on the periphery of tube is \[\frac{{{P}_{0}}A}{n\mu r}\]then the value of n is _____.       

Answer:

6.28