The amount of time it takes for half of a sample to disappear is:

a
fusion
b
nuclear chemistry
c
fission
d
half-life

d) half-life

The correct answer is d) half-life.

The half-life is the amount of time it takes for half of a radioactive sample to decay or disappear. It is a characteristic property of a particular radioactive material and can be used to determine the rate of decay of that material.

The correct answer is "d" - half-life. The half-life is the amount of time it takes for half of a sample to decay or disappear. It is a concept commonly used in the field of radioactive decay, but can also be applied to other areas of science where decay or transformation occurs.

To arrive at this answer, you need to understand the concept of half-life and how it relates to the decay or disappearance of a sample. The half-life is a characteristic property of each radioactive material and is always the same for a specific isotope.

To determine the amount of time it takes for half of a sample to disappear, you would need to know the specific half-life of the material in question. This information can be found in scientific literature or databases that provide data on radioactive materials.

Once you have the half-life value for the material, you can calculate the time it takes for half of the sample to disappear by using the equation:

t = (0.693 * T½) / ln(2)

Where:
t represents the time it takes for half of the sample to disappear,
T½ represents the half-life of the material,
ln(2) is the natural logarithm of 2 (approximately 0.693).

By plugging in the value of the material's half-life into this equation, you should be able to determine the amount of time it takes for half of the sample to disappear.

In summary, the correct answer is "d" - half-life, and you would need to know the specific half-life value of the material in question and use the equation to calculate the time it takes for half of the sample to disappear.