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A particle with in SHM has an equation




X=0.75Sin65t cm. What is:




A. the frequency of the oscillation




B. The amplitude of the oscillation




C. The time period of the oscillation










An optical instrument consist of a converging lens of focal lens 30cm, placed 20cm away from a diverging lens of focal lens 5cm. An object is placed 6m distance from the formal lens, calculate the position and magnification of the image form

I know the equation of intensity follows as I = S / 4πr2

How is this equation derived and what are the base formulas in terms of the inverse square law. I'm asking for a experiment I plan to do for which I need a hypothesis.

A lens system is composed of two lenses. Lens A has a refractive power of +9.25 D and lens B has a refractive power of −3.75 D. An object is located 235 mm in front of Lens A. The focused image of the lens system is located exactly 30 cm behind Lens B. The lenses are suspended in air. Calculate the distance between the two lenses.

A small alien species with many tiny eyes is discovered. After analysis, we learn that light is focused on their transparent retina after being reflected off a concave mirror located at the back of their eyes. Assuming the eyes of this species only consist of a concave mirror with a radius of curvature of 420 µm immersed in a medium with a refractive index of 1.492:

 

a) Calculate the refractive power of the alien eye. (2 marks)

b) Where should the retina be placed to obtain the sharpest possible image for an object located 1.25 mm in front of the mirror? (3 marks)

 

A fish is seen at an apparent depth depth 13m

Find its real depth of the fish if the refractive index of water is 1.33


Calculate the position of the six cardinal points (focal points, principal points, and nodal points) in the human cornea. Assume the cornea is a thick lens separating air (n = 1) and aqueous humour (n = 1.336). The refractive powers of the first and second surfaces are +47.898 D and −5.952 D, respectively. The cornea is 565 µm thick and has a refractive index of 1.376. Draw a diagram showing where all the cardinal points are located


. A container with glass walls has oil inside. The total length,  of the containers is 14 cm. The walls of the container have a thickness () of 25 mm and a refractive index of 1.58. The container is surrounded by air (n = 1), and the oil inside the container has a refractive index of 1.42. The angle of incidence,  is 30º. Calculate the lateral shift, x, for this container.. A container with glass walls has oil inside. The total length,  of the containers is 14 cm. The walls of the container have a thickness () of 25 mm and a refractive index of 1.58. The container is surrounded by air (n = 1), and the oil inside the container has a refractive index of 1.42. The angle of incidence,  is 30º. Calculate the lateral shift, x, for this container.  


  1. An object 6 cm tall is placed 9 cm in front of a concave mirror that has a focal length of 18cm. Round your answers to 2 decimal places.  

a) Calculate the image distance. [3 marks]

b) Calculate the image height. [2 marks]



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