3611

Physics Ray Optics Level: University

Refraction
Sunlight strikes the surface of a lake at an angle of incidence of 30.0 degree . At what angle with respect to the normal would a fish see the sun?



3610

Physics Ray Optics Level: University

Reflection
Two plane mirrors form a 70 degree angle as seen below. For what angle theta is the final ray horizontal?
Question Diagram




3609

Physics Alternating Current Level: University

Use calculus to show directly that if i (t) = I (sub m ) cos wt it follows that I (effective or rms) = I (sum m) square root of 2.



3608

Physics Ray Optics Level: University

Resolution
The ratio telescope at Arecibo, Puetro Rico has a reflecting spherical bowl of 305 m (1000 ft) diameter. Radio signals can be received and emitted at various frequencies with appropriate antennae at the focal point of the reflecting bowl. At a frequency of 300 MHz what is the angle between two stars that can barely be resolved?



3607

Physics Ray Optics Level: University

 Diffraction
The first two dark fringes on one side of the central maximum in a single-slit diffraction pattern are 1.0 mm apart. The wavelength of the light is 610 mm and  the screen is 1.0 m from the slit. What is the slit width?



3606

Physics Ray Optics Level: University

Diffraction
Light from a helium-neon laser (630 mm) is incident on a pair of slits. In the  interference pattern on a screen 1.5m from the slits, the bright fringes are separated by 1.35cm. What is the slit separation?



3605

Physics Ray Optics Level: University

Interference
A thin film of oil ( n = 1.50) of thickness 0.40 micro m  is spread over a puddle of water (n = 1.33). For which wavelength in the visible spectrum do you expect constructive interference for reflection at normal incidence?



3604

Physics Ray Optics Level: University

Telescope
The objective lens of an astronomical telescope forms an image of a distant object at the focal point of the eyepiece which has a focal length of 5.0 cm. If the two lenses are 45.0 cm apart what is the angular magnification?



3603

Physics Ray Optics Level: University

Magnification
Keesha is looking at a beetle with a magnifying glass. She wants to see an upright enlarged image at a distance of 25 cm. The focal legth of the magnifying glass is +5.0 cm. Assume that keesha s eye is close to the magnifying glass. (a) What should be the distance between the magnifying glass and the beetle? (b) What is the angular magnification?



3602

Mathematics Algebra Level: University

Events A  B and C are mutually independent events with P(A)=.3  P(B)=.4  and P(C)=.5.  What is the probability that:

a) Exactly two of them happen
b) At least two of them happen
c) Not more than two of them happen



3601

Physics Ray Optics Level: University


Suppose that the lens system (cornea + lens) in a particular eye has a focal  length that can very between 1.85 and 2.00 cm but the distance from the lens system to  the retina is only 1.90 cm (a) Is this eye nearsighted or farsighted? Explain. (b) What range of distances can the eye see clearly without corrective lenses?
(Assume that the normal near point is 25 cm)



3600

Physics Ray Optics Level: University

Lens formula
A photographer wishes to take a photograph of the Eiffel tower (300 m tall) from across the seine river a distance of 300 m from the tower. What focal length lens should she use to get an image that is  20 mm high on the film? (For 35 mm film each cell is 24 mm high by 36 mm wide)



3599

Physics Ray Optics Level: University

Light
A converging lens and a diverging lens separated by a distance of 30.0 cm are used  in combination. The converging lens a focal length 15.0 cm. The diverging lens is of unknown focal length. An object is placed 20.0 cm in front of the converging lens the final image is virtual and is formed 12.0 cm before the  diverging lens. What is the focal length of the diverging lens?



3598

Mathematics Algebra Level: University

Events A, B, and C are mutually independent events with P(A)=.3, P(B)=.4, and P(C)=.5.  What is the probability that:

a) Exactly two of them happen
b) At least two of them happen
c) Not more than two of them happen
Question Diagram




3597

Economics Misc Topic Level: University

MANAGERIAL ECONOMICS AND BUSINESS STRATEGY

1.The text points out that asymmetric information can have deleterious effects on market outcomes.
a.Explain how asymmetric information about a hidden action or a hidden characteristic can lead to moral hazard or adverse selection.
b.discuss a few tactics that managers can use to overcome these problems
 

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