Consider a flat slab made of negative-index material that is placed in air. Assume that a point source is located at the origin of the x-axis, the thickness of the slab is d, and the point source is d/4 away from the first interface of the slab.

(1) If the refractive index n=-1, sketch the light rays to show that two focal points can be formed due to negative refraction. Determine the coordinates of the two focal points by using Snell's law, ray optics and trigonometry.
(2) If the refractive index of the slab is changed to n=-2 while the other conditions are kept the same, can such a slab still form an ideal, point image?

the gas collects in coils that then becomes a liquid that then flows through the coils inside the refrigerator

  the grams     of oxygen gas   that can be produced     is 20.6   grams of o₂

calculation

2liclo₃ →   2 licl + 3 o₂

step 1:   find the moles of liclo₃

moles = mass÷ molar mass

from periodic table the molar mass of liclo₃ =6.9 +35.5   +(16 x3) =90.4 g/mol

moles=38.7 g÷90.4 g/mol=0.4281   moles

step 2:   use the   mole ratio   to calculate the moles of o2

from equation above, liclo₃: o₂   is 2: 3  

therefore the moles of   o₂=0.4281 moles x3/2 =0.6422   moles

step 3: find mass   of o₂

mass= moles x molar mass

from periodic table the   molar mass of   o₂ = 16 x2= 32 g/mol

mass=0.6422   moles   x   32 g/mol = 20.6 grams of o₂

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c) both a and b.

365.25 earth days are in the year of a light year