Wilhelm Wien was a very productive researcher of Blackbody Radiation. In addition to his Displacement Law of 1893 in the previous problem, he also derived his Distribution Law of 1896 through careful thermodynamic analysis of the energy and momentum in an electromagnetic field. The Distribution Law says that whatever function would eventually be found to describe Blackbody Radiation, it had to be of the form g(λT)/λ^5 . He proposed an exponential form for the function g(λT), leading here to:
Rwien (λ,T)= f(T) * (λ0/λ)^5 / exp(λ0/λ)
where f(T) is the same function as in the Planck formula above.
1. At a fixed temperature, calculate the value of λ, in units of λ0, at which the Wien formula is maximized.

As a car drives with its tires rolling freely without any slippage, the type of friction acting between the tires and the road is 100) a) static friction. b) kinetic friction. c) a combination of static and kinetic friction. d) neither static nor kinetic friction, but some other type of friction. e) it is impossible to tell what type of friction acts in this situation.

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.

Both speed and velocity measure how fast something is moving. however, since speed is not a it does not require a(n question 6 options: a) quantity , unit b) magnitude, unit c) scalar, direction d) vector, direction