Using the lens maker’s equation, find the radius of curvature
needed for the leading surface (in...
Using the lens maker’s equation, find the radius of curvature
needed for the leading surface (in other words, R1 =?) to optimize
the power of the lens. Assume that the secondary surface has a
fixed radius of curvature, R2 Hint: Write the power (P) as a
function of R1, and apply the maximization condition. Yes, you need
to use calculus.
Question 7 a. The radius of curvature of a plano-convex lens is
measured to be 2 metres, and the focal length in air (n = 1) is
measured to be 4 metres. i. What is the power of the lens? [2
marks] ii. What is the refractive index of the lens material? [4
marks] b. A toy Dalek is placed 40 cm in front of a converging lens
of focal length f1 = 20 cm; another converging lens 60 cm...
A spherical surface with a radius of curvature of 3.73 m is
polished on both sides. An object sits 4.43 m in front of one side
of the mirror. When the mirror is flipped around, how far does the
image move?
Given a surface system. Horizontal wind speed is 43 m s−1 .
Radius of Curvature of 0.25 km. Latitude is 41◦N. Mean air density
of 1.14 kg m−3 . (a) Please find the Rossby Number for this system.
Based on this information, what type of system is this likely to
be? (b) Please find the Pressure Gradient for this system and,
please find the relative central pressure of the system. (c) Please
find the most likely direction of rotation of...
If the curvature of the lens on each side is the
same, what do you expect for the focal length on each side of the
lens? How could you test this?
Why should you make multiple measurements of the
distances to the source and image?
What is the effect on your measurements if the
lens is not mounted perpendicular to the light rays?
The second method assumes that the light source is
at infinity. What is...
Find the distribution of temperature inside a sphere of radius a
when the surface of the upper half is held at 100°C and the surface
of the lower half at 0°C
PART A
A lens with two convex surfaces, both with radii of curvature of
0.25 meters, is used to focus light. If the lens is made of crown
glass, it would have an index of refraction for red (656 nm) light
of 1.509 and for blue light (486 nm) of 1.517. What happens when it
is used to make an image of a distant source of white light? Pick
those that apply (THERE ARE 3 ANSWERS)
The red light falls...
An upright object is placed in front of a concave mirror.
The radius of curvature of mirror is 40 cm.
(a) Where should the object be placed in order to obtain an image
that is twice as large as the object?
(b) Is the image upright or inverted?
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