If a rectangular area is rotated in a uniform electric field from the position where the maximum electric flux goes through it to an orientation where only half the flux goes through it, what has been the angle of rotation?

The angle of rotation is

Step-by-step explanation:

Given information:

The maximum flux is half to the flux after the orientation, as

Find: orientation where only half the flux goes through it.

Electric Flux, number of electric field lines passing through the unit surface area.

The equation for the electric flux is,

,

Where is the magnitude of electric field, A is the areal vector and is the angle between the electric field direction and the areal vector.

The electric flux will be maximum when electric field direction is parallel to the surface area,

here, =, then,

,

,

After the orientation, the flux is,

,

From given information,

,

Hence, the angle of rotation is

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solution:

as, mean is defined as sum of all the observations divided by total number of observations.

and , median is mid value of the data whether arranged in ascending order or descending order.

consider, roadsters:

2,3,4,5,6,7,8,9

mean =

also, median= , because number of observations is even, so median is mean of two mid values.

now, coming to bandits

2,3,4,5,6

mean =  

median = 4, as number of observations is odd.

so, roadsters has greater median as well mean than bandits.

→option a is true about the repairs performed on 2 types of cars:

bandits have lower median and mean than roadsters.