Nuclear Power Engineering
The half life period of a radioactive substance is best determined by counting the number of alpha particles emitted per second in a Geiger Muller counter from its known quantity. If the half life period of a radioactive substance is one month, then

It will completely disintegrate in two months
It will completely disintegrate in four months
L/8th of it will remain intact at the end of four months
3/4th of it will disintegrate in two months

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Nuclear Power Engineering
A homogeneous reactor is the one, in which the

Fissile atoms are evenly distributed throughout the mass of nuclear reactor
The fuel and the moderator is mixed to form a homogeneous material
All of these
Same substance (e.g. heavy water) is used as moderator & coolant

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