In a 200-turn automobile alternator, the magnetic flux in each turn is φb = 2.50 10-4 cos ωt, where φb is in webers, ω is the angular speed of the alternator, and t is in seconds. the alternator is geared to rotate three times for each engine revolution. the engine is running at an angular speed of 1.00 103 rev/min.

(a) determine the induced emf in the alternator as a function of time. (assume is in v.) =
(b) determine the maximum emf in the alternator.

10.63952 V

Explanation:

= Number of turns = 200

= Magnetic flux =

= Engine angular speed =

Alternator angular speed is given by

Induced emf is given by

The function is

The induced maximum emf is 10.63952 V

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.

d.7.5cm is your answer