Read the following statements carefully: I. The magnetic flux linked with a coil is maximum when the plane of the coil is parallel to the magnetic field. II. The SI unit of magnetic flux is equivalent to tesla per square metre ( T m ⁻² ). III. Magnetic flux through a given surface is a scalar quantity. IV. The dimensional formula of magnetic flux is [ M L ^2 T ⁻² A ⁻¹] . How many of the above statements are correct?

Step-by-step solution

Let us evaluate each statement: Statement I is incorrect. The magnetic flux is given by = BA , where is the angle between the area vector (normal to the plane) and the magnetic field. When the plane of the coil is parallel to the magnetic field, = 90^ , making the flux zero (minimum), not maximum. Statement II is incorrect. The SI unit of magnetic flux is the weber (Wb), which is equivalent to tesla square metre ( T m ^2 ), not T m ⁻² . Statement III is correct. Magnetic flux is defined as the dot product of the ma