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Question 3 (10%). A metal bar, 1.5 m long, is pushed along frictionless horizontal rails at a Question 4 (10%). Laser constant speed v = 3m/s. A resistor R = 0.50 is light of wavelength 650 nr connected to the rails at points a and b, directly passes through two small opposite each other. Assume the only significant slits that are separated by Small slits separated resistance in the problem is in R. There is a uniform ry wide screen by 3.0 um Laser light of magnetic field B = 2T directed vertically downward. is a distance 3.0 m from the wavelength slits . 3.0 m 650 nm A) Does the current induced in the resistor flow from a to b or from b to a? Explain. Note: Not drawn to scale ) What is the width of the central maximum on the screen? B) Find the magnitude of the current induced in the resistor. B) Suppose the film is removed and the laser light is replaced with an equally thin beam of light coming from a regular household light bulb. Does the same pattern of bright spots appear on the wall as in part A? Explain. Question 6 (10%). As shown in the figure, two Question 5 (10%). Although words like "nuclear" and "radioactivity" conjure images of fear and point charges, one with charge +8 UC and another dread for many people, this semester we discussed some ways in which society takes with charge -8 UC are located along the x-axis, a (-4 cm, 0 cm) (4 cm, 0 cm) advantage of nuclear processes. For example, knowing the half-life of a radioisotope allows us distance 4 cm on either side of the y-axis. to determine how old ruins of an ancient city are. A) What Is the electric potential at location F = +x A) The half-life of C-14 is about 5700 years. Explain why carbon dating is not used for very very (Ocm, Ocm) if the potential infinitely far from -8 HC 8 UC old objects (for example, 500,000 years or older)? he charges is zero? Show your work/ explain your reasoning. B) What is the electric force on a 1C test charge if it is inserted at location i = (0cm, Ocm)? Show your work/ explain your reasoning. B) What percentage of C-14 has decayed after 14,300 years have passed? Show your work. C) Suppose you begin with a rock of pure C-14 in a sealed jar. When you put the jar on a scale, it reads 10 kg. What will be the reading if the sealed jar is put on the scale again after two ) What direction Is the electric force on a 1C test charge if it is inserted on the y-axis, at half-lives (the jar is sufficiently durable that it can survive the two half-lives intact)? Show location r = (0cm, 4cm)? Draw a diagram to support your answer. your work / explain your reasoning