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Constants and Conversions. Need a calculator? Make sure to enter your answers in the specified units, but do not include the units in your answer.
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1) The electrons in a parallel beam, each with kinetic energy eV, are directed through two slits that are 0.55 mm apart. How far apart, to the nearest tenth of a micron, will the interference peaks be on a screen 1.45 m away? Assume that the peaks are close enough together that sin(A) in the double-slit formula and tan(A) can both be adequately approximated by A(in radians).
2) The uncertainty in the position of an electron is nm, what is the uncertainty in the momentum? (Give your answer in scientific notation to 2 decimal places, i.e., 12345 would be 1.23e4)
3) What is the uncertainty in the speed (to the nearest m/s) of the electron in the previous problem?

4) Calculate the maximum orbital angular momentum, in SI units, of an electron in a quantum state of n = (Use scientific notation to 2 decimal places).

5) A 25.0 g bullet leaves a rifle aimed in the horizontal direction at a speed of 305 m/s, which is about 92% of the speed of sound at STP. If the position of the bullet in the vertical direction is uncertain to within x10-4 m when it leaves the gun, what is the minimum uncertainty in the velocity of the bullet in the vertical direction, in SI units? (Use scientific notation to 2 decimal places.)

6) If the uncertainty in the energy of a certain nuclear state is MeV, estimate the lifetime of this state. (Use scientific notation to 2 decimal places.)

7) What is the wavelength to the nearest picometer of a Kalpha X-ray produced by an X-ray tube with a target Z=?

8) What is the minimum wavelength to the nearest picometer of the X-rays emitted from an X-ray tube with an accelerating voltage of kV?