An atom is in an excited state for 4.00 us before moving back to the ground state. Find the approximate uncertainty in energy of the photon in units of 10¹¹ eV. (A) 8.23 (B) 3.78 (C) 4.97 (D) 5.49 (E) 6.17

Suppose Fuzzy, a quantum-mechanical duck, lives in a world in which h=2π Js. Fuzzy has a mass of 2.00 kg and is initially known to be within a pond 1.00 m wide. What is the minimum uncertainty in the component of the duck's velocity parallel to the width of the pond?

A nucleon (proton or neutron) is confined to a region of space (the nucleus) approximately 10 fm across. Assuming the momentum of a nucleon is roughly equal to the uncertainty in its momentum, estimate the nucleon's kinetic energy. Does this seem like a reasonable result?

Using partial derivatives, calculate the propagated uncertainty in the mass in the following case: given the centripetal force Fc = (20.0 ± 0.5) N, the angular velocity w = (29.2 ± 0.3) rad/s, and the radius R = (0.12 ± 0.01) m get the mass value,m = Fc / (w2R). Express the result in the form m = m + Δm ----------------------------------- THAT'S THE QUESTION ASKED, see the image for the answer. Also have a look at the second image, the blue one. --------------------------------------------------------------- Explain what is the 1/m just after the equals sign at the second line of the answer. Also, explain why the answer does not use the square root just like the blue image, of if it is using it. Then, say in which case should I use the partial derivate to calculate the uncertainty.