Saturn has an orbital period of 29.46 years. in two or more complete sentences, explain how to calculate the average distance from saturn to the sun and then calculate it.

For astronomical objects, the time period can be calculated using:

T² = (4π²a³)/GM

where T is time in Earth years, a is distance in Astronomical units, M is solar mass (1 for the sun)

Thus,

T² = a³

a = ∛(29.46²)

a = 0.67 AU

1 AU = 1.496 × 10⁸ Km

0.67 * 1.496 × 10⁸ Km

= 1.43 × 10⁹ Km

are their multiple choices ?

explanation:

answer: the correct answer is 1.

explanation: there are various process in which a radioactive nuclei decays:

1) alpha decay: in this process, a heavier nuclei decays into lighter nuclei by releasing alpha particle. the mass number is reduced by 4 units.

2) electron capture: in this decay process, a parent nuclei absorbs an electron and gets converted into a neutron. simply, a proton and an electron combines together to form a neutron. mass number does not change in this process.

3) gamma ray emission: it is a decay process in which an unstable nuclei gives excess energy by a spontaneous electromagnetic process. this decay releases . this process does not change the mass number.

4) positron emission: it is a type of decay process, in which a proton gets converted to neutron and an electron neutrino. this is also known as -decay. in this the mass number remains same.

from the above information, we see that only alpha-decay is producing a change in the mass number of the nucleus.