1. research scientist

2. professor

3. physics teacher

4. data scientist

5. lab manager

6. medical physicist

7. optical engineer

8. aerospace engineer

9. geophysicist

10. astronomer

**Answer with Explanation:**

We are given that

Angle of incidence,

Angle of refraction,

a.Refractive index of air,

We know that

b.Wavelength of red light in vacuum,

Wavelength in the solution,

c.Frequency does not change .It remains same in vacuum and solution.

Frequency**,**

Where

Frequency,

d.Speed in the solution,

**Answer:**

**Explanation:**

a ) speed of passenger = circumference / time

= 2π R / Time

= 2 x 3.14 x 50 / 60

= 5.23 m /s

b )

centrifugal force = m v² /R

= (882 /9.8 ) x 5.23² / 50

= 77.47 N

Apparent weight at the highest point

real weight - centrifugal force

= 882 - 77.47

= 804.53 N

Apparent weight at the lowest point

real weight + centrifugal force

= 882 +77.47

= 959.47 N

c ) if the passenger’s apparent weight at the highest point were zero

centrifugal force = weight

mv² /R = mg

v² = gR

= 9.8 X 50

v = 22.13 m /s

d )

apparent weight

mg - mv² / R

= 882 - (882 / 9.8 )x 22.13²/50

= 882 + 882

= 1764 N

=

**Answer:**

Positive sign for negative velocity and minus sing for positive velocity

**Explanation:**

In the case of the negative velocity, the sign of the acceleration that reduces its magnitude is the positive sign, **since being in the opposite direction to the movement indicates a deceleration or braking**. In the case of the positive velocity, the sign of the acceleration that reduces its magnitude is the negative sign, since being in the opposite direction to the movement indicates a deceleration or braking. We observe that there will always be a reduction in the magnitude of the velocity if the acceleration goes in the opposite direction.