Quantum Mechanics Answers

What are the x and y components of the vector that must be added to the following three vectors, so that the sum of the four vectors is zero? Due east is the + x direction, and due north is the + y direction. [10]

𝐴⃗ = 113 𝑢𝑛𝑖𝑡𝑠, 60.0° 𝑠𝑜𝑢𝑡ℎ 𝑜𝑓 𝑤𝑒𝑠𝑡

𝐵⃗⃗ = 222 𝑢𝑛𝑖𝑡𝑠, 35.0° 𝑠𝑜𝑢𝑡ℎ 𝑜𝑓 𝑤𝑒𝑠𝑡

𝐵⃗⃗ = 177 𝑢𝑛𝑖𝑡𝑠, 23.0° 𝑛𝑜𝑟𝑡ℎ 𝑜𝑓 𝑒𝑎𝑠

You live in the building on the left in the drawing, and a friend lives in the other building. The two of you are having a discussion about the heights of the buildings, and your friend claims that his building is half again as tall as yours. To resolve the issue you climb to the roof of your building and estimate that your line of sight to the top edge of the other building makes an angle of 21° above the horizontal, while your line of sight to the base of the other building makes an angle of 52° below the horizontal. Determine the ratio of the height of the taller building to the height of the shorter building. State whether your friend is right or wrong.

The two hot-air balloons in the drawing are 48.2 and 61.0 m above the ground. A person in the left balloon observes that the right balloon is 13.3° above the horizontal. What is the horizontal distance x between the two balloons? 

Calculate the maximum energy and the speed

of the emitted electrons when sodium is

illuminated by a radiation of wavelength

150nm. What is the least frequency of radiation

(threshold frequency) for which electrons are

emitted?

(Take work function of sodium as 2.0eV).

Given that me= 9.109 x 10-31kg,

mn= 1.675 x 10-27kg, and

mp= 1.672 x 10-27kg

Evaluate the moment of inertia of a thin rod with axis of rotation at the centre , if its length is 100cm and its mass is 2.3kg.

Which part of the Planck radiation formula dominates in the short wavelength range.

A system consisting of a mass of one gram fixed to a spring which is stretched by 1 cm. by a force of 10000 dynes, the particle being constrained to move only along the x axis. What will be the zero-point energy?

A cyclist rides 3 km west and then turns around and rides 2 km east.

(a) Draw the FBD for this motion (Assume east to be positive and west to be

negative).

(b) What is her displacement?

(c) What distance does she ride?

(d) What is the magnitude of her displacement?

ψ=squar 2/L sin (nPie x/2) find the value of x

The quantum numbers of two electrons in a two-valance electron atom are:

n1=6, l1=1, s1=1/2 and

n2=5, l2=1, s2=1/2.

Assuming L-S coupling, find possible spectroscopic terms. Show them in an energy level diagram.