A circular loop (radius of 20 cm) is in a uniform magnetic field of 0.15 T. What angle(s) between the normal to the plane of the loop and the field would result in a flux with a magnitude of ?

The angle other than 90 degrees would result in magnetic flux of non zero magnitude.

Explanation:

The magnetic flux through a given closed area is equal to .

    Where is the magnitude of magnetic flux through loop .

                is the area vector of the given loop .

      We know that = ,

 Where is the angle made by magnetic field with area vector.

   Area vector of a closed loop is always normal to the plane of the loop .

So from above equation we can deduce that

      is the magnitude of magnetic flux which is non zero when not equal to 90 degrees.

answer: at 24 february, 2014 the population gets twice of its initial population.

explanation:

since we have given that

the population for alpha city, t years after january 1, 2004 is given as

first we find out the initial population, i.e. t=0,

so, our quadratic equation becomes,

according to question, we have said that if the population has twice its initial population, then it becomes

so, time taken to reach this above mentioned population is given by

now, we know that time can't be negative so, we take t=9.149 years.

hence, at 24 february, 2014 the population gets twice of its initial population.

conservation of mass

mass before something happens = mass afterwards