A bullet 10 g leaves the barrel of gun with a velocity of 600 m/s. If the barrel of gun is 50 cm
long and mass of gun is 3 kg, then value of impulse supplied to the gun will be : 
(1) 12 Ns
(2) 6 Ns 
(3) 36 Ns 
(4) 3 Ns
                                                      JEE-2024       
Solution:                
A bullet 10 g leaves the barrel of gun with a velocity of 600 m/s. If the barrel of gun is 50 cm long and mass of gun is 3 kg, then value of impulse supplied to the gun will be : (1) 12 Ns (2) 6 Ns (3) 36 Ns (4) 3 Ns JEE-2024

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The magnetic field at the centre of a wire loop formed by two semi circular wires of radii R1 = 2 πm and R2 = 4π m carrying current I = 4A as per figure  given below is  a × 10^–7 T. The value of a is  ______. (Centre O is common for all segments)           

                                                                      JEE-2024