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1) Which subshell (for example, 1s) is designated by each set of quantum numbers

ID: 842680 • Letter: 1

Question

1) Which subshell (for example, 1s) is designated by each set of quantum numbers below?

2) How many photons are produced in a laser pulse of 0.202 J at 571 nm?

What would be the speed of the following particles if they had the same wavelength as a photon or red light(lambda = 750.0 nm)? A certain bullet has a mass of 8.85 g. caliculate the de Broglie wave length of the bullet traveling at 1697 miles per hour. Physical contents can be found here. Consider a 2070-lb automobile clocked by law-enforcement radar at a speed of 85.5 mph (miles/hour). If the position of the car is known to within 5.0 feet at the time of the measurement, what is the uncertainty in the velocity of the car? If the speed limit is 75 mph, could the driver of the car reasonably evade a speeding ticket by invoking the Heisenberg uncertainty principle? The Heisenberg uncertainty principle is expressed by the following equation where delta x is the uncertainty in position, delta rho is the uncertainty in momentum, and h is Planck's constant. The uncertainty in momentum can be expressed in terms of mass, m, and the uncertainty in velocity, delta ?.

Explanation / Answer

1) Calculate the kinetic energy of the baseball:

v=1697mph =758.6269 m/s

m=8.85gm = 0.00885 Kg

KE = (1/2)mv2
x = (1/2) (0.00885 kg) (758.6269 m/s)2

x = 2546.6529 J

2) Use the de Broglie equation:

lambda = h/p
lambda = h/sqrt(2Em)

x = 6.626 x 10^(-34) J s / sqrt [(2) (2546.6529 J) (0.00885 kg)]

x = 0.98969 x 10^(-34) m