Physics Spl

Hooke's law is a principle of physics that states that the force F needed to extend or compress a spring by some distance X is proportional to that distance. That is: F = kX, where k is a constant factor characteristic of the spring: its stiffness, and X is small compared to the total possible deformation of the spring.
The law is named after 17th century British physicist Robert Hooke. He first stated the law in 1660 as a Latin anagram. He published the solution of his anagram in 1678 as: ut tensio, sic vis (As the extension, so the force or the extension is proportional to the force).
Hooke's equation holds in many other situations, where an elastic body is deformed, such as wind blowing on a tall building, a musician plucking a string of a guitar, and the filling of a party balloon. An elastic body or material for which this equation can be assumed is said to be linear-elastic or Hookean.

Yes, you can. Most universities require you to have physics as your extra-departmental/pass course for you to study physics as your M.Sc. However, since science departments recruit Master's students via entrance exams, this might be difficult anyway. You'll have to have a self-study enough physics to crack one of the many entrances.
Alternatively, you could apply to an applied mathematics degree (Like at Calcutta University or CMI) or even a general mathematics department for your M.Sc. Most departments have someone or the other working in mathematical physics. Courses that are relevant to that are differential geometry, probability theory/functional analysis, representation theory/lie groups and of course, the theory of differential equations.
Approaching physics via mathematics is reasonably common.