Argon-fluoride excimer lasers are now commonly used in corrective eye surgery. the short, intense pulses of light generated by these lasers are able to cleanly ablate microscopic layers of corneal tissue, effectively reshaping the lens with little or no trauma to the rest of the eye. calculate the energy delivered to the cornea per laser pulse(in j), if one pulse from an argon-fluoride excimer laser contains 2.5*1016photons, each with a wavelength of 193 nm. (1 nm = 10-9m)a. 1.3*10-40 jb. 1.0*10-27jc. 1.0*10-18jd. 6.2*105je. 2.6*10-2j

In the derivation of rrkm theory, a factor of 1/2 is introduced when equalizing the rates of formation and decomposition of activated complex as keal-hr) = ko this is clearly against the assumption of transition state theory that states all the activated complex in the transition state iss going to the product. find the reason why this factor is introduced here.

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.

The position of a crate sliding down a ramp is given by x=(0.05t^3) m, y=(1.7t^2) m, z=(6−0.85t^5/2) m, where t is in seconds. (a) determine the magnitude of the crate's velocity when t = 2 s. (b) determine the magnitude of the crate's acceleration when t = 2 s.