Aconcave makeup mirror has a radius of curvature of 50 cm. it is positioned so that when a person looks in the mirror, they see their face upright and 2.6 times larger. how far is the mirror from the face? a) 9.23 cm b) 13.5 cm c) 11.1 cm d) 15.4 cm e) 17.8 cm

d) 15.4 cm

Explanation:

Radius of curvature = 50 cm

i = image distance

o = object distance

Focal length (f) is half of radius of curvature

So f = 25 cm

Magnification = m = 2.6

Mirror equation

Object distance is 15.4 cm

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.