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Exercise 2 – Red-shift in a gravitational potential well (3 points) Consider a radio emitter in a Newton’s potential well V(r) =−GM/r. Suppose the radiation is emitted at re and observed at ro. Derive the red/blue shift formula. Repeat the exercise by calculating the percentage red/blue shift for a 500 nm laser emitter on the top of the Mount Everest, once it is observed at the sea level.