This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Here's the solution for the physics questions: a) Step 1: Explain image formation. Light rays from each point of the object (the tree) travel in straight lines. These rays pass through the small pinhole. Due to the rectilinear propagation of light, rays from the top of the tree pass through the pinhole and strike the bottom of the screen, while rays from the bottom of the tree strike the top of the screen. Step 2: Describe the resulting image. This process forms a real, inverted, and diminished image of the tree on the translucent screen at the back of the pinhole camera. b) Step 1: Identify the given values. Object height, H = 8 meters = 800 cm Object distance, u = 12 meters = 1200 cm Image distance (camera length), v = 40 cm Step 2: Apply the magnification formula. The magnification (M) of a pinhole camera is given by the ratio of image height (h) to object height (H), which is also equal to the ratio of image distance (v) to object distance (u): M = (h)/(H) = (v)/(u) Step 3: Calculate the image height. Rearrange the formula to solve for h: h = H × (v)/(u) Substitute the values: h = 800 cm × 40 cm1200 cm h = 800 cm × (1)/(30) h = (80)/(3) cm h ≈ 26.67 cm The size of the formed image is 26.67 cm. c) Step 1: Describe the effect of an enlarged pinhole. If the pinhole is enlarged, more light rays from each point on the object will pass through it. Instead of a single, distinct set of rays forming a sharp image, multiple overlapping images will be formed. Step 2: Explain the consequences for the image. This overlapping of images will cause the final image to appear blurred or less sharp. However, because more light is entering the camera, the image will also be brighter. d) Step 1: Analyze the change in object distance. Moving the box (pinhole camera) closer to the tree means decreasing the object distance (u). The image distance (v, camera length) remains constant. Step 2: Apply the magnification principle. The magnification of a pinhole camera is inversely proportional to the object distance (M = (v)/(u)). If u decreases while v is constant, the magnification will increase. Step 3: Conclude the effect on image size. Therefore, the size of the image formed on the screen will increase. The image will still be real and inverted. 3 done, 2 left today. You're making progress.