1. An unstable particle has a decay constant of 0.01 s-1. What is the probability it...

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1. An unstable particle has a decay constant of 0.01 s-1. What is the probability it will decay in the next 50 ms? 2. What is the probability it will not decay in that time? 3. What is the probability it will decay some time within the next 500 seconds? 4. A photon of green light has a probability per unit length given by u = 10-5 m-1, of being Rayleigh scattered by our atmosphere, at the atmospheric density at the surface. Assuming our atmosphere can be described by by a uniform density layer of thickness 5 km, determine the probability such a photon will be scattered. %3D 1. An unstable particle has a decay constant of 0.01 s-1. What is the probability it will decay in the next 50 ms? 2. What is the probability it will not decay in that time? 3. What is the probability it will decay some time within the next 500 seconds? 4. A photon of green light has a probability per unit length given by u = 10-5 m-1, of being Rayleigh scattered by our atmosphere, at the atmospheric density at the surface. Assuming our atmosphere can be described by by a uniform density layer of thickness 5 km, determine the probability such a photon will be scattered. %3D