In a pie chart, the angle corresponding to a sector is proportional to the fraction of the total that it represents. If the angle for the Physics sector is \(12^\circ\), this corresponds to the fraction \(\frac{12}{360}\) of the total circle (since there are \(360^\circ\) in a circle).

Now, set up a proportion to find the number of students offering Physics:

\(\frac{\text{Number of Physics students}}{\text{Total number of students}} = \frac{12}{360}\).

\(\frac{\text{Number of Physics students}}{150} = \frac{12}{360}\).

Solve for the number of Physics students:

\(\text{Number of Physics students} = \frac{12}{360} \cdot 150\).

Number of Physics students= 5.

Therefore, there are 5 students offering Physics.