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How long would it take 4.0 x 10²⁰ atoms to decay to 1.0 x 10¹⁹ atoms if their half-life was 14.7 years?

A radioactive substance with a half-life of 3.0 days has an initial activity of 0.24Ci. What is its activity after 6.0 days?

A radioactive sample has a half-life of 10 min. What fraction of the sample is left after 40 min.

If a 4.0x10¹⁸ atoms decay with a life of 2.3 years, how many are remaining after 3.7 years?

Compare the relativistic momentum of an electron to its classical momentum when it has a speed of (a) 0.88c in an accelerator used for treating cancer and (b)4.50 × 107 𝑚/𝑠 in the cathode ray tube of a TV set.






Y=√x cos 2x find dy/dx

A person can throw a ball at a maximum horizontal range of 120m. How high would the ball go straight up? [6 marks]

When a ball naturally floats in a pool filled with mercury (density 13600 kg/m° the buoyancy force on the ball is 2224 N. If a force of 1200 N is required to force the ball

completely under water, what is the volume of the ball?


If the density of water is 1,00 g/cm° and atmospheric pressure is 1,013 x 105 Pa, the depth in water (in m) where the absolute pressure is four times atmospheric

pressure, is equal to:


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