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
The value of f is 100 mm. Steps: 1. Write down the lens equation and given values: The lens equation is: 1/f = 1/u + 1/v Given: u = 150 mm Given: v = 300 mm 2. Substitute the given values into the equation: 1/f = 1/150 + 1/300 3. Find a common denominator for the fractions: The least common multiple of 150 and 300 is 300. Convert 1/150 to an equivalent fraction with a denominator of 300: 1/150 = (1 2) / (150 2) = 2/300 4. Add the fractions: 1/f = 2/300 + 1/300 1/f = (2 + 1) / 300 1/f = 3/300 5. Simplify the resulting fraction: Divide both the numerator and the denominator by their greatest common divisor, which is 3: 1/f = (3 ÷ 3) / (300 ÷ 3) 1/f = 1/100 6. Solve for f: Since 1/f = 1/100, then f = 100 mm.