JEE Advanced 2020 Full Test 2 Paper 2

Consider the circuit shown in figure. With switch S1 closed and the other two switches open, the circuit has a time constant 0.05sec. With switch S2 closed and the other two switches open, the circuit has a time constant 2 sec. Withswitch S3 closed and the other two switches open, the circuit oscillates with a period T. Find T (in sec). ( Take π2=10)