Which change would cause the largest increase in a mountain climber's gravitational potential energy?
carrying twice the weight and climbing half as high
carrying half the weight and climbing half as high
carrying twice the weight and climbing twice as high
carrying half the weight and climbing twice as high

carrying twice the weight and climbing twice as high.

Explanation:

we generally write the gravitational potential energy as mgh. where m is the mass of the body and h the height climbed.

therefore if we double both mass and height gravitational potential energy would increase.

divide the right side by the left side

0.024÷1.2=0.02 for example

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.