1. Describe the basics of an astronomical telescope using light-ray diagrams.
2. What is the formula fr the magnification of an astronomical telescope made of lenses with focal lengths F_0 and F_e? Provide a brief, concise explanation; a drawing would help.
3. Describe the basics of a mircoscope using light-ray diagrams.
4. What is the basic difference between a telescope and a mircoscope and their constructions?
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A wheel, starting from rest, rotates with a constant angular acceleration of 1.40 rad/s2. During a certain 6.00 s interval, it turns through 36.6 rad. (a) How long had the wheel been turning before the start of the 6.00 s interval? (b) What was the angular velocity of the wheel at the start of the 6.00 s interval?
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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)
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The red light falls in a cone outside the blue light as it the light converges to a focus, so when blue is in focus there is a fuzzy red ring around it. |
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The blue light focuses closer to the lens than the red light. |
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When the red light is in focus it is surrounded by a blue halo. |
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The red light focuses closer to the lens than the blue light. |
PART B
Energy carried by light..... Pick ALL that apply
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is proportional to both electric and magnetic fields |
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is proportional to the square of the electric field |
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is proportional to the amplitude of the electric field |
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flows perpendicular to both the electric and the magnetic fields |
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flows in the direction of the electric field |
PART C
Suppose you are experimenting with a Michelson interferometer and you have adjusted it so that you see a pattern of circular rings of interference. You illuminate the interferometer with light from sodium atoms which emit two wavelengths, 589 and 596 nm. What do you see? Pick ALL that apply. (there are multiple answers)
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For the same order of interference, the rings from the longer wavelength light fall inside the rings of the shorter wavelength light. |
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For some spacings of mirrors, the rings from the two lines may fall exactly between one another. |
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There are no rings visible because there are two wavelengths present. |
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You could adjust a mirror to make the rings of the two wavelengths lie on top of one another, and then change it to make them lie between one another. |
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The difference is so small that the rings from both wavelengths always lie on top of one another. |
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A 0.30-kg puck, initially at rest on a frictionless horizontal surface, is struck by a 0.20-kg puck that is initially moving along the x-axis with a velocity of 8.6 m/s. After the collision, the 0.20-kg puck has a speed of 5.2 m/s at an angle of θ = 53° to the positive x-axis.
(a) Determine the velocity of the 0.30-kg puck after the collision.
(b) Find the fraction of kinetic energy lost in the collision.
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The steel pipe (100 mm outer diameter) is covered with
two layers of insulation. The 40 mm thick inner layer has a thermal
conductivity of 0.07 W / (mK). Outer layer, 20 mm thick has a
thermal conductivity of 0.15 W / (m K). The pipe is used to drain
500 kPa pressurized steam. The temperature on the outer insulation
surface is 24 ° C. If the pipe is 8 m long, determine the
following: (assuming that the conduction heat transfer resistance
of steel pipes and vapor convection resistance is ignored).
a. Heat loss per hour. = kJ / hour.
b. Temperature between insulation layers. = ° C.
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Two satellites are in circular orbits around the earth. The orbit for satellite A is at a height of 458 km above the earth’s surface, while that for satellite B is at a height of 732 km. Find the orbital speed for (a) satellite A and (b) satellite B.
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Briefly summarize Immanuel Kant's view of how the Solar System formed.
How does this viewpoint reflect Kant's overall view of science and what are some of the restrictions that Kant places on the scientific process.?
No plagiarism.
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Problem 2. In diffraction experiments involving multiple wavelengths of light passing through the same aperture, the higher order maxima of one wavelength can coincide with a lower order maxima of a longer wavelength. In the above diffraction experiment, the 3rd maxima of 600 nm light is found to coincide with the 4th maxima of a different wavelength of light. What is the other wavelength?
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An object with total mass mtotal = 14.9 kg is sitting at rest when it explodes into three pieces. One piece with mass m1 = 4.8 kg moves up and to the left at an angle of θ1 = 23° above the –x axis with a speed of v1 = 27.9 m/s. A second piece with mass m2 = 5.1 kg moves down and to the right an angle of θ2 = 28° to the right of the -y axis at a speed of v2 = 20.9 m/s.
m3=5KG
What is the x-component of the velocity of the third piece?
What is the y-component of the velocity of the third piece?
Calculate the increase in kinetic energy of the pieces during the explosion.
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Visible light passes through a diffraction grating that has 900 slits per centimeter, and the interference pattern is observed on a screen that is 2.80m from the grating. In the first-order spectrum, maxima for two different wavelengths are separated on the screen by 3.10mm . What is the difference between these wavelengths? in meters
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Q1-Assume momentum is conserved in this case.
A cart of mass 0.509kg is moving on a friction balanced track with a speed 0.43m/s. It then collides with another cart of mass 0.546kg that is at rest, and become stuck with it. What is the speed in (m/s) after collision?
Assume momentum is conserved in this case.
Q2-Cart A of mass 0.749kg is moving on a friction balanced track with a speed 0.476m/s. It then collides with cart B of unknown mass which is at rest. After collision, the two carts are stuck together with a speed 0.272m/s. What is the mass of cart B (in unit of kg)?
Q3-Assume momentum is conserved in this case.
Cart A of mass 0.929kg is moving on a friction balanced track with a speed 0.44m/s. It then collides with cart B of mass 0.433kg which is at rest. After collision, cart A's speed slows down to 0.129m/s. What is the speed of cart B in (m/s) after collision?
Q4-
Assume momentum is conserved in this case.
Cart A of unknown mass is moving on a friction balanced track with a speed 0.427m/s. It then collides with cart B of mass 0.407kg which is at rest, becoming stuck together with a speed 0.193m/s. What is the mass of cart A in (kg) after collision?
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A block of mass m2 = 15 kg on a rough 30°-inclined plane is connected to a 5-kg mass (m1) by a string of negligible mass passing over a pulley that is shaped like a disk. The 2-kg pulley has radius 15 cm and rotates about its symmetry axis of rotation. The string does not slip on the pulley and causes the pulley to rotate about a fixed horizontal axle through its center of mass. When this system is released from rest, the block (m2) moves at a uniform linear acceleration. The coefficient of kinetic friction between the 15-kg block and the incline surface is 0.10. (a) Find the linear acceleration of the system. (b) Calculate the tension T1, in the string supporting m1, and tension T2, in the string that supports m2. (c) Use energy methods to find the speed of the blocks when the 5-kg block has moved through a vertical displacement of 3 m from rest. (a) [a = 0.56 m/s2]; (b) [T1 = 52.4 N; T2 = 51.8 N]; (c) [v = 1.83 m/s]
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A 15 g bullet is fired at 650 m/s into a 4.7 kg block that sits at the edge of a 80-cm-high table. The bullet embeds itself in the block and carries it off the table. How far from the point directly below the table's edge does the block land?
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we examined the concept of friction and how it affects everything we do. Air resistance is an important type of friction that you don’t want to forget about as you prepare your post. Consider what the world would be like without friction. For example, in a world without friction, the pitcher in a baseball game can still pitch the ball because he can push off the pitching rubber. The pitching rubber is the rubber slab atop the pitching mound that a pitcher uses to push off to gain velocity. But what happens when the batter swings or when the ball hits the catcher’s mitt?
Now, think of one of your favorite sports or another activity you enjoy. How would the action of that activity be different in a world without friction? In your initial post to the discussion, describe your activity and then respond to the following:
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We often think about two-dimensional motion in terms of a projectile, like someone throwing a ball up in the air. Consider, instead, the surface of an air-hockey table, where the puck travels horizontally from one end of the table to the other. Imagine you’re standing at one end of the table and answer the following questions in your initial post to the discussion.
1. Describe the shape of the puck’s path, starting from the end
of the table where you’re standing, as it undergoes the following
types of motion:
a. acceleration in the x-direction
b. acceleration in the y-direction
c. constant velocity in the x-direction with acceleration in the
negative y-direction
2. What must be true of x-velocity and y-velocity for the puck to travel at a 45-degree angle?
3. How can you make the angle steeper or shallower?
4. Can the puck follow a straight path if it’s accelerating in one or both directions? Choose your own orientation for the coordinate system.
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