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
Step 1: Calculate the charge passing through the battery. The current I is 0.5 \, A and the time t is 2 \, minutes. First, convert the time to seconds. t = 2 \, minutes × 60 \, sminute = 120 \, s The formula for charge Q is Q = I × t. Q = 0.5 \, A × 120 \, s = 60 \, C The charge passing through the battery is 60 C. Step 2: Calculate the energy transferred by the battery. The voltage V is 12 \, V and the charge Q is 60 \, C (from Step 1). The formula for energy transferred E is E = V × Q. E = 12 \, V × 60 \, C = 720 \, J The energy transferred by the battery is 720 J. Step 3: Calculate the resistance of the lamp. The voltage V across the lamp is 12 \, V and the current I through it is 0.5 \, A. Using Ohm's Law, R = (V)/(I). R = 12 \, V0.5 \, A = 24 \, The resistance of the lamp is 24 . Step 4: Define radioactivity. Radioactivity is the spontaneous emission of radiation (such as alpha particles, beta particles, or gamma rays) from the nucleus of an unstable atom. This process results in the transformation of the unstable nucleus into a more stable one. Step 5: Construct the decay equation for Thorium-232. Thorium-232 (Th^232_90) emits two beta particles (^0_-1e). Let the daughter nucleus be X^A_Z. The decay equation is: Th^232_90 X^A_Z + 2 × ^0_-1e To conserve the mass number (A): 232 = A + 2 × 0 A = 232 To conserve the atomic number (Z): 90 = Z + 2 × (-1) 90 = Z - 2 Z = 92 The element with atomic number 92 is Uranium (U). So the daughter nucleus is U^232_92. The decay equation is: Th^232_90 U^232_92 + 2 × ^0_-1e Step 6: Determine the number of protons and neutrons in the daughter element. The daughter element is U^232_92. • The number of protons is equal to the atomic number (Z). Protons = 92 • The number of neutrons is equal to the mass number (A) minus the atomic number (Z). Neutrons = A - Z = 232 - 92 = 140 The daughter element has 92 protons and 140 neutrons. Step 7: Describe how to draw the velocity-time graph. To draw the velocity-time graph: • Plot time (s) on the x-axis and velocity (m/s) on the y-axis. • Use the given data points from Table C1.1: (0 s, 0 m/s) (5 s, 10 m/s) (10 s, 20 m/s) (15 s, 30 m/s) (20 s, 30 m/s) (25 s, 30 m/s) (30 s, 30 m/s) (35 s, 15 m/s) (40 s, 0 m/s) • Connect the plotted points with straight lines. The graph will show an initial increase in velocity, followed by a period of constant velocity, and then a decrease in velocity back to zero. Send me the next one 📸