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2. A metal block of mass M kg is attached to a spring of negligible mass and spring constant k as shown in Fig. 2, and is free to slide on a frictionless, horizontal surface. A clay ball of mass M/4 kg is fired at the block with velocity V m/s and sticks to it. The block is initially at rest and the spring is initially uncompressed.

(a) (3 marks) What is the speed of the block and ball system immediately after the impact?

(b) (4 marks) Write an equation for the position of the block as a function of time after the collision, assume that at t = 0 s, the instant of the impact, it is at X = 0 m, which is the unstretched point of the spring. Determine values for the amplitude, angular frequency in terms of the given quantities. Assume that X and V are positive to the left as shown.

(c) (3 marks) Calculate the time period, maximum velocity, and maximum acceleration of the motion of the spring block and ball system.


Write the salient features of free electron theory


In an optics laboratory, a researcher has performed Young's double slit experiment with two coherent beams with each wavelength of 2.0 mm. They both travel 4 cm to a detector, but one passes through air while the other through an unknown liquid of refractive index of 2.0

a) Do they cause constructive or destructive interference ?

b) Suppose if you replace the given liquid with other liquid of refractive index 2.5, will you get the same answer? Justify your answer


10. A single slit 1.0 mm wide is illuminated by 450 nm light. What is the central maximum (in cm) width in the diffraction pattern on a screen 5.0 m away?




A. 3 cm



B. 0.8 cm



C. 0.45 cm



D. 0.5 cm




7. Which of the following accurately defines diffraction?


A. Where waves like light or sound spread out as they move around an object or


through a slit


B. Where waves like light or sound bunch together as they move around an object


or through a slit.


C. Where waves like light of sound move through an object or sit unaffected


d. Where waves liko light or sound spread out as they move through a silt, but NOT around an object



8. When does single-slit diffraction occur?



A. when the slit width is smaller than the wavelength


B. when the slit width is the same as the wavelength


C. when the slit width is slightly larger than wavelength


D. both a and b



9. A single narrow slit is illuminated with red light of wavelength 632.8 nm. A screen placed 1.60 m from the slit shows a typical singe-slit diffraction pattern. The separation between the two first minima is 4.0 mm. What is the width of the slit?



A. 0.25 mm


B. 0.51 mm


C. 2.5 mm


D. 5.1 mm

a physics teacher has demonstrated a single slit diffraction experiment to the students with a light source of wavelength 400nm and grating constant of 4000 lines per inch. Compute maximum number of dark fringes observed by him? If he replaces the given grating with another grating (5000 lines per inch) will he observe the same number of dark fringes?


3. If light is passed through a double-slit opening onto a screen, the pattern produced on the screen is ___________



A. a bright central band of light with slightly-diminished alternating bright and dark bands called nodes and antinodes.


B. a bright contral band of light with tiny lines toward the edges of the screen


C. a large circle of light with tiny circles around it.


D. equally-sized concentric circles of light



4. Light passes through a double-slit, producing bright and dark hands on a screen The dark hands are caused by waves from each slit _________



A. interfening constructively


B. meeting exactly one wavelength out of phase


C. meeting exactly one half wavelength out of phase.


D. meeting exactly one fourth wavelength out of phase.



5. Light of wavelength 580 nm is incident on a sit of width 0.300 mm: An observing Streen is placed 2.00m from the slit. Find the position of the first order dark frings from the center of the screen.



A. 0.26 mm


B. 1.9 mm


C. 3.9 mm


D. 7.7 mm

1. Two light sources are said to be coherent if they ___________




A. are of the same frequency.


B. are of the same frequency, and maintain a constant phase difference.


C. are of the same amplitude, and maintain a constant phase difference.


D. are of the same frequency and amplitude.




2. Coherent electromagnetic waves are not emitted by



A. two antennas connected to the same radio transmitter


B. two pinholes in an opaque shield over a sodium-vapor lamp


C. a pinhole in an opaque shield over a sodium-vapor lamp and its reflection in a mirror


D. two lasers




I need to know how to figure out how fast an object will fall when the weight of the object is known and falling distance of the object is known in inches per second. For example the distance is 8 feet and the weight of the object is 20 pounds. I also need to know what the speed will the object will have reached at the bottom of the 8 foot drop.


Determine the force of gravitational attraction between the earth (5.98 x1024


kg) and a 100 kg football player, when he is at a distance of 6.38 x 106 m from


earth’s center.

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