Induction Motor circuit
Helpful hints:


What voltage will be across the G lamp if S is closed?


Your Edit 1:


  As supply is connected, high current starts flowing through G to IM which blows G.


No. G will limit the current. After all, it can be assumed that it is designed to run directly from the supply.


  Now, switch S is closed. Again high current starts flowing through S to IM. R gets supply across its terminals and glows continuosly.


Good.


  why is R not glowing when S is open ?? Is it because it is not getting rated voltage?



If the motor wasn't there then what percentage of the voltage would each lamp get?
If the motor is there will R get more or less voltage?



  If motor was not there then V/2......motor is there then &lt; V/2.


Correct.