[{"data":1,"prerenderedAt":61},["ShallowReactive",2],{"q-108180-arch_environment-15":3},{"question":4,"neighbors":26,"sameNumber":45,"prev":34,"next":37},{"id":5,"classKey":6,"session":7,"year":8,"subject":9,"number":10,"groupStem":11,"ownStem":12,"stem":12,"options":13,"answer":18,"answerKind":20,"answerS":11,"answerNote":11,"images":21,"explanation":22,"withheld":11,"deepChars":23,"freq":24,"indexable":25},"arch-108180-801-0104-015","architect","108180",108,"建築環境控制",15,null,"音壓增加為原來之 2 倍時，dB 值會增加多少？",{"A":14,"B":15,"C":16,"D":17},"2 dB","4 dB","6 dB","8 dB",[19],"C","single",[],"本題考點：音壓位準的定義 Lp = 20 log₁₀(p \u002F p₀)；音壓變為原來的倍數時，dB 增加量為 20 log₁₀（倍數）。\n【正解理由】音壓位準是以音壓比值取對數再乘 20 得到的分貝值。之所以乘 20 而不是 10，是因為聲音的能量（音強）與音壓的平方成正比：Lp = 10 log₁₀(p² \u002F p₀²) = 20 log₁₀(p \u002F p₀)。音壓增加為原來的 2 倍時，新舊位準相減，基準音壓 p₀ 互相抵消，增加量 ΔL = 20 log₁₀ 2，常用對數 log₁₀ 2 約為 0.301，所以 ΔL ≈ 6.02 dB，約 6 dB，與選項 (C) 相符，故選 C。\n【逐項排除】\n(A) 2 dB：與 20 log₁₀ 2 的結果相差甚遠，不符合音壓位準的定義；音壓加倍應增加約 6 dB。\n(B) 4 dB：小於正確值，不符合音壓位準加倍時的增量；正確應為約 6 dB。\n(C) 6 dB：20 log₁₀ 2 ≈ 6.02 dB，約 6 dB，正確。\n(D) 8 dB：大於正確值，同樣不符合 20 log₁₀ 2 的結果；正確應為約 6 dB。\n【演算步驟】\n公式：ΔL = 20 log₁₀(p₂ \u002F p₁)。\n代入：p₂ \u002F p₁ = 2，ΔL = 20 × log₁₀ 2 = 20 × 0.301 ≈ 6.02 dB ≈ 6 dB。\n【記憶點】音壓加倍＋6 dB，音強（能量）加倍＋3 dB；音壓用 20 log，能量用 10 log。",557,1,true,[27,30,33,36,39,42],{"number":28,"session":7,"stem":29},12,"以臺灣所在的緯度而言，有關建築採光之敘述，下列何者錯誤？",{"number":31,"session":7,"stem":32},13,"有關人工照明燈具之敘述，下列何者錯誤﹖",{"number":34,"session":7,"stem":35},14,"有關測光量單位之敘述，下列何者錯誤？",{"number":37,"session":7,"stem":38},16,"有關室內餘響時間之量測及沙賓（Sabine）對室內餘響時間較長之室內空間所做的實驗結…",{"number":40,"session":7,"stem":41},17,"有關餘響時間之敘述，下列何者錯誤？",{"number":43,"session":7,"stem":44},18,"有關音環境之敘述，下列何者錯誤？",[46,49,52,55,58],{"number":10,"session":47,"stem":48},"114180","有關建築牆構造之隔音性能，下列敘述何者錯誤？",{"number":10,"session":50,"stem":51},"113190","某牆壁面積為 15 m2，其中包含一樘玻璃窗，面積 2.4 m2，500 Hz 吸音…",{"number":10,"session":53,"stem":54},"112190","下列關於相對濕度的敘述何者錯誤？",{"number":10,"session":56,"stem":57},"111180","有關多孔質吸音材料的吸音特性敘述，下列何者錯誤？",{"number":10,"session":59,"stem":60},"110180","某鋼筋混凝土屋頂構造，計算屋頂平均熱傳透率 Uar 時，不包括下列那個項目？",1791863210206]