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
Huu unaonekana kuwa mfumo wa lenzi au kioo. Tutatumia fomula ya lenzi/kioo kupata umbali wa picha (v) kwa kila umbali wa kitu (u). Focal length (f) imetolewa kama 20. Fomula ya lenzi/kioo ni: (1)/(f) = (1)/(u) + (1)/(v) Ili kupata v, tunapanga upya fomula: (1)/(v) = (1)/(f) - (1)/(u) Ambapo f = 20. Step 1: Tafuta v wakati u = 10. (1)/(v) = (1)/(20) - (1)/(10) (1)/(v) = (1)/(20) - (2)/(20) (1)/(v) = -(1)/(20) v = -20 Step 2: Tafuta v wakati u = 30. (1)/(v) = (1)/(20) - (1)/(30) (1)/(v) = (3)/(60) - (2)/(60) (1)/(v) = (1)/(60) v = 60 Step 3: Tafuta v wakati u = 40. (1)/(v) = (1)/(20) - (1)/(40) (1)/(v) = (2)/(40) - (1)/(40) (1)/(v) = (1)/(40) v = 40 Step 4: Tafuta v wakati u = 50. (1)/(v) = (1)/(20) - (1)/(50) (1)/(v) = (5)/(100) - (2)/(100) (1)/(v) = (3)/(100) v = (100)/(3) ≈ 33.33 Step 5: Tafuta v wakati u = 60. (1)/(v) = (1)/(20) - (1)/(60) (1)/(v) = (3)/(60) - (1)/(60) (1)/(v) = (2)/(60) (1)/(v) = (1)/(30) v = 30 Majibu ya umbali wa picha (v) kwa kila umbali wa kitu (u) ni: • Wakati u = 10, v = -20 • Wakati u = 30, v = 60 • Wakati u = 40, v = 40 • Wakati u = 50, v = 33.33 • Wakati u = 60, v = 30 Tuma swali linalofuata 📸