R 3 OPEN RESPONSES Q1) An object is placed in front of a thin diverging lens. The lens has a focal length of 4cm, and the object is kept 12 cm away from the lens. (20 points) a) Draw a ray diagram depicting the 3 special rays. Is the image Real or Virtual? b) Find the location of the image using the lens equation c) If the height of the object is 5cm, find the height of the image d) If the diverging lens was replaced by a converging lens where would the image form? Will the image be real or virtual? (Explain, you may use a ray diagram or the equation) Q2) A positively charged particle (Q1 = 10 uC) is held fixed at position (-2,4). Another positively charged particle (Q2 = 20 uC) is placed at the position (2, 1) in a cartesian plane. (20 points) Q1 4 3 2- Q2 1- -4 3 2 1 0 1 2 3 4 5 a) What is the distance between Q1 and Q2? (The axis on the cartesian plane is in meters) b) What is the magnitude of the electrostatic force (Coulomb's force) that acts on the charge Q2 by Q1? (k = 8.99 x 109 Nm2/C2 ) c) Find the magnitude and the direction angle (in degrees as measured from the positive x- axis) of the electric field at the location (2,1) due to the Q1 charge d) Find the potential at the location (2,1) due to the Q1 charge