Explanation:

The component of the magnetic field along the line OP at the point P due to a bar magnet can be determined using the formula for the magnetic field produced by a magnetic dipole.

Magnetic Dipole Moment:
The magnetic moment of a bar magnet is a measure of its strength. It is denoted by the symbol μ and is defined as the product of the pole strength (m) and the distance between the poles (d). Mathematically, μ = m * d.

In this case, the magnetic moment of the bar magnet is given as 1.732 ampere metre square.

Magnetic Field due to a Magnetic Dipole:
The magnetic field at a point P along the line OP due to a magnetic dipole can be calculated using the formula:

B = (μ0 / 4π) * [(3 * (m * r) * cosθ) / r^3 - (m / r^3)]

Where:
B is the magnetic field at point P,
μ0 is the permeability of free space (approximately 4π x 10^-7 T m/A),
m is the pole strength of the magnet,
r is the distance of point P from the center of the magnet,
θ is the angle between the line OP and the axis of the magnet.

Calculation:
Since the magnetic moment (μ) is given as 1.732 ampere metre square, we can substitute this value into the formula.

The direction of the magnetic field along the line OP at point P depends on the angle θ. If the angle is 0° or 180°, the field is maximum. If the angle is 90°, the field is zero.

Therefore, to calculate the component of the magnetic field along the line OP at point P, we need to determine the angle θ.

We can then substitute the known values into the formula and calculate the magnetic field at point P.

Conclusion:
In conclusion, the component of the magnetic field along the line OP at the point P due to the bar magnet of magnetic moment 1.732 ampere metre square can be calculated using the formula for the magnetic field produced by a magnetic dipole. The calculation involves determining the angle θ and substituting the known values into the formula.