Please help!! Find the length of the shortest
side of the triangle. Give vour
answer in centimetres to one
decimal place. (Sorry for the bad picture)

Describe how the fermi level changes with donor level, temperature and contact with p and n type semiconductors

Aparticle of mass m is projected with an initial velocity v0 in a direction making an angle α with the horizontal level ground as shown in the figure. the motion of the particle occurs under a uniform gravitational field g pointing downward. (a) write down the lagrangian of the system by using the cartesian coordinates (x, y). (b) is there any cyclic coordinate(s). if so, interpret it (them) physically. (c) find the euler-lagrange equations. find at least one constant of motion. (d) solve the differential equation in part (c) and obtain x and y coordinates of the projectile as a function of time. (e) construct the hamiltonian of the system, h, and write down the hamilton’s equations (canonical equations) of motion.

In positive numbers less than 1, the zeros between the decimal point and non zero are significant