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 are the solutions to the questions: SECTION A 1. A liquid contains 100 \, cm^3 of water and 40 \, cm^3 of ethanol. If the densities of water and ethanol are 1 \, g/cm^3 and 0.78 \, g/cm^3 respectively. Determine the density of the mixture. Step 1: Calculate the mass of water (M_w). M_w = _w × V_w = 1 \, g/cm^3 × 100 \, cm^3 = 100 \, g Step 2: Calculate the mass of ethanol (M_e). M_e = _e × V_e = 0.78 \, g/cm^3 × 40 \, cm^3 = 31.2 \, g Step 3: Calculate the total mass of the mixture (M_total). M_total = M_w + M_e = 100 \, g + 31.2 \, g = 131.2 \, g Step 4: Calculate the total volume of the mixture (V_total). V_total = V_w + V_e = 100 \, cm^3 + 40 \, cm^3 = 140 \, cm^3 Step 5: Calculate the density of the mixture (_mixture). _mixture = M_totalV_total = 131.2 \, g140 \, cm^3 = 0.937 \, g/cm^3 The density of the mixture is 0.937 g/cm^3. 2. The diagram below shows a micrometer screw gauge. What is the reading in SI units? Step 1: Read the main scale. The edge of the thimble is past the 5 \, mm mark. Main scale reading = 5.00 \, mm Step 2: Read the thimble scale. The horizontal line aligns with the 25^th division. Thimble scale reading = 25 × 0.01 \, mm = 0.25 \, mm Step 3: Calculate the total reading. Total reading = Main scale reading + Thimble scale reading = $5.00 \, mm + 0.