Determine the value of the commutator a. –Px b. j (hbar) P z OC i (hbar) Îz

What are the SI units of ?

Estimates and Fermi Calculations Assuming the human body is made primarily of water, estimate the volume of a person.

The length and width of a rectangular room are measured to be 3.9550.005m and 10500.005m . Calculate the area of the room and its uncertainty in square mete

(a) Seismographs measure the arrival times of earthquakes with a precision of 0.100 s. To get the distance to the epicenter of the quake, geologists compare the arrival times of S- and P-waves, which travel at different speeds. If S- and P-waves travel at 4.00 and 7.20 km/s, respectively, in the region considered, how precisely can the distance to the source of the earthquake be determined? (b) Seismic waves from underground detonations of nuclear bombs can be used to locate the test site and detect violations of test bans. Discuss whether your answer to (a) implies a serious limit to such detection. (Note also that the uncertainty is greater if there is an uncertainty in the propagation speeds of the S- and P-waves.)

Suppose that your bathroom scale reads your mass as 65 kg with a 3% uncertainty. What is the uncertainty in your mass (in kilograms)?

What does the term fibrillation mean in connection with heart function? Give two important causes of heart fibrillation in human beings. How do pacemakers and defibrillators help to prolong life for patients suffering from this condition?

Check Your Understanding How would the strategy change to calculate the at a point a distance z above of the finite line segment?

Suppose you are located 180 in from a radio transmitter. (a) How many wavelengths are you from the transmitter if the station calls itself 1150 AM? (The AM band frequencies are in kilohertz.) (b) What if this station is 98.1 FM? (The FM band frequencies are in megahertz.)

Electric bills from power companies charge for so many kilowatt-hours (kWh). What are we paying for?