Question:
Two charges each of magnitude 0.01 C and separated by a distance of 0.4 mm constitute an
electric dipole. If the dipole is placed in an uniform electric field ‘E ‘of 10 dyne/C making 300 angle
with E , the magnitude of torque acting on dipole is : 
(1)  4.0 x  10^-10 Nm 
(2)  2.0 x  10^-10 Nm 
(3)  1.0 x  10^-8 Nm 
(4)  1.5 x 10^-9  Nm
                                                      JEE-2024       
Solution:                
Two charges each of magnitude 0.01 C and separated by a distance of 0.4 mm constitute an electric dipole. If the dipole is placed in an uniform electric field 'E 'of 10 dyne/C making 300 angle with E , the magnitude of torque acting on dipole is : (1) 4.0 x 10^-10 Nm (2) 2.0 x 10^-10 Nm (3) 1.0 x 10^-8 Nm (4) 1.5 x 10^-9 Nm 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