SECTION 3 (Maximum Marks: 24)

• This section contains SIX (06) questions. The answer to each question is a NUMERICAL VALUE.

• For each question, enter the correct numerical value of the answer using the mouse and the on-screen virtual numeric keypad in the place designated to enter the answer. If the numerical value has more than two decimal places, truncate/round-off the value to TWO decimal places.

• Answer to each question will be evaluated according to the following marking scheme:

Full Marks : +4 If ONLY the correct numerical value is entered;

Zero Marks : 0 In all other cases.

A spherical bubble inside water has radius R. Take the pressure inside the bubble and the water pressure to be p 0 . The bubble now gets compressed radially in an adiabatic manner so that its radius becomes (R - a). For a<<R the magnitude of the work done in the process is given by , where X is a constant and = C P /C V = 41/30. The value of X is________.