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Question

1. Find median for Earth treated as a 291-K blackbody.

2.

A proton has velocity v=(1600± 0.35 )m/s .

Part A

What is the uncertainty in its position?

Express your answer using two significant figures.

3.

An electron is moving in the +x-direction with speed measured at 54 Mm/s , accurate of ±10%.

Part A

What's the minimum uncertainty in its position?

Express your answer using two significant figures.

4.

Find the initial wavelength of a photon that loses half its energy when it Compton-scatters from an electron and emerges at 90 to its initial direction of motion.

5.

One reason we don't notice the effects of quantum mechanics in everyday life is that Planck's constanth is too small.

Part A

Treating yourself as a particle in a room-sized one-dimensional infinite square well, how big wouldhhave to be if your minimum possible energy corresponded to a speed of 1.0m/s? Take the width of the room to be 2.6 m and your mass to be 60 kg.

Express your answer using two significant figures.

6.

A harmonic oscillator emits a 1.6 eV photon as it undergoes a transition between adjacent states.

Part A

What is its classical oscillation frequency?

Express your answer using two significant figures.

7.

A very crude model for an atomic nucleus is a cubical box about 4.0 fm on a side.

Part A

What would be the energy of a gamma ray emitted if a proton in such a nucleus made a transition from its first excited state to the ground state?

Express your answer using two significant figures.

8.

An electron is confined to a cubical box.

Part A

For what box width will a transition from the first excited state to the ground state result in emission of a 950-nm infrared photon?

nm

9.

A particle is in the ground state of an infinite square well.

Part A

Find the probability of finding the particle in the left-hand third of the well.

10.

Find an expression for the normalization constant A for the wave function given by=0 for the case |x|>b and by =A(b2x2) for bxb.

Explanation / Answer

Question 1 is not properly formated

2.
delta v = 0.35 m/s
use Heisenberg's uncertainty principle,
delta x * delta v = h/(4*pi*m)
delta x * 0.35 = (6.626*10^-34)/(4*pi*1.673*10^-27)
delta x = 9*10^-8 m
= 90 nm
Answer: 90 nm

I am allowed to answer only 1 question at a time

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