Answer:
a

b
Explanation:
From the question we are told that
The distance of separation is 
The is distance of the screen from the slit is 
The distance between the central bright fringe and either of the adjacent bright 
Generally the condition for constructive interference is

From the question we are told that small-angle approximation is valid here.
So 
=> 
=> 
Here n is the order of maxima and the value is n = 1 because we are considering the central bright fringe and either of the adjacent bright fringes
Generally the distance between the central bright fringe and either of the adjacent bright is mathematically represented as

From the question we are told that small-angle approximation is valid here.
So

=> 
So


substituting values



In the b part of the question we are considering the next set of bright fringe so n= 2
Hence

Answer:
The speed is 6.1m/s with an angle of 56.3 degrees north of east.
Explanation:
We meed to apply the Linear momentum theorem:

The magnitude of the velocity is given by:

and the angle:

Answer:
Doppler effect changes the wavelength of the light emitted, depending upon whether source is moving away or coming towards the observer(detector).
Explanation:
Doppler effect in light is actually a relativistic effect but somewhat similar to the one which happens in sound waves.
When the source is moving away from the detector, the wavelength of the light emitted from the source appears to be increased as seen by the detector, as a result the frequency decreases(we know that frequency of light= speed of light/wavelength of light. Here speed of light is constant and frequency of light is inversely proportional to its wavelength)
Due to this decrease in frequency the light emitted from the source appears more red, since red color is on low frequency side in the electromagnetic spectrum.
Similarly for the source moving towards the detector, the wavelength appears to be decreased, thereby resulting in increase in frequency and the source appears blue. The shift in frequency is known as doppler shift.
The shift in frequency when the source is moving away is known as redshift and the one where the source is moving towards detector is known as blueshift
To find the acceleration of the car, we can use the following relationship:

where

is the final speed of the car (it is zero because the car comes to rest)

is the initial speed of the car

is the acceleration

is the distance covered
By rearranging the equation, we get:

where the negative sign means it is a deceleration.
Answer:
Angle of incidence ray
Explanation:
The way light reflects off a smooth surface is described by the law of reflection. This law states that the angle of reflection equals the ANGLE OF INCIDENCE RAY.
This is because, when light is reflected off a smooth surface, the light is reflected by all the points that is present on that smooth surface.
Therefore the speed at which the light rays falls on the smooth surface is the same as the speed at which the light ray is reflected back. Due to their speed been the same, the distance of the incidence ray would also be the same as the distance of the reflected ray.
Hence the angle of incidence = angle of reflection.