When a resistance of 5ohm is shunted with a moving coil galvanometer, it shows a full scale deflection for a current of 250 mA however when 1050 ohm  resistance is connected with it in series, it gives full
scale deflection for 25 volt. The resistance of galvanometer is _________ ohm.
                                                                     JEE-2024   
Solution:                
When a resistance of 5ohm is shunted with a moving coil galvanometer, it shows a full scale deflection for a current of 250 mA however when 1050 ohm resistance is connected with it in series, it gives full scale deflection for 25 volt. The resistance of galvanometer is _________ ohm. 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