Acompound lens consists of 2 thin lenses l1 (f= 10cm) and l2 (f- 33 cm), separated by a distance of 34cm (a) calculate the effective focal length of this combined lens using the two lens formula. describe the image created by a 1.5 cm tall object located 7 cm from the first lens. (5 marks) (b) construct a ray diagram (graphic solution) to scale for this system. calculate the location of the intermediate image and see that it checks with the drawings. note vertical scale can be different from the horizontal (4 marks) (c) now solve the problem using matrix methods. calculate the effective focal length, the focal point and the principal points of the combined lens, and the system matrix for the combined lens and for light coming from the object. then repeat (a) using these matrices to find the image location and size.

Which atomic model was proposed as a result of j. j. thomson’s work?

Astudent throws a water balloon with speed v0 from a height h = 1.76 m at an angle θ = 21° above the horizontal toward a target on the ground. the target is located a horizontal distance d = 9.5 m from the student’s feet. assume that the balloon moves without air resistance. use a cartesian coordinate system with the origin at the balloon's initial position. (a) what is the position vector, rtarge t, that originates from the balloon's original position and terminates at the target? put this in terms of h and d, and represent it as a vector using i and j. (b) in terms of the variables in the problem, determine the time, t, after the launch it takes the balloon to reach the target. your answer should not include h. (c) create an expression for the balloon's vertical position as a function of time, y(t), in terms of t, vo, g, and θ. (d) determine the magnitude of the balloon's initial velocity, v0, in meters per second, by eliminating t from the previous two expressions.

Consider each of the electric- and magnetic-field orientations given next. in each case, what is the direction of propagation of the wave? a)\vec ein the +xdirection,\vec bin the +ydirection. choose+ x direction- x direction+ y direction- y direction+ z direction- z direction b)\vec ein the -y direction,\vec bin the +x choose+ x direction- x direction+ y direction- y direction+ z direction- z direction c)\vec ein the +z direction,\vec bin the -x direction. choose+ x direction- x direction+ y direction- y direction+ z direction- z direction d)\vec ein the +y direction,\vec bin the -z direction. choose+ x direction- x direction+ y direction- y direction+ z direction- z direction