[{"data":1,"prerenderedAt":61},["ShallowReactive",2],{"q-109180-arch_environment-16":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-109180-801-0104-016","architect","109180",109,"建築環境控制",16,null,"若空氣中之聲音速度為 340（公尺\u002F秒），則聲音頻率 100 Hz 之波長與 500 Hz 之波長，兩者波長相差多少公尺？",{"A":14,"B":15,"C":16,"D":17},"0.68","2.72","1.70","2.40",[19],"B","single",[],"本題考點：聲波的基本關係式「波速 = 頻率 × 波長」，即 λ = v \u002F f；在聲速固定時，頻率越低、波長越長。\n【正解理由】聲速 v = 340 m\u002Fs 為定值，分別求兩個頻率的波長：100 Hz 的波長為 340 ÷ 100 = 3.4 m，500 Hz 的波長為 340 ÷ 500 = 0.68 m。題目問兩者「相差」多少，取差值 3.4 − 0.68 = 2.72 m，故選 B。\n【逐項排除】\n(A) 0.68：錯誤。這是 500 Hz 單一頻率的波長，不是兩個波長的差；還要以 100 Hz 的波長 3.4 m 減去它，才是題目所問的 2.72 m。\n(B) 2.72：正確。3.4 m − 0.68 m = 2.72 m。\n(C) 1.70：錯誤。比正確差值小了 1.02 m，與兩波長相減的結果不符；正確值為 2.72 m。\n(D) 2.40：錯誤。與正確差值相近但仍小了 0.32 m，代入 λ = v \u002F f 逐一計算並相減，結果是 2.72 m 而不是 2.40 m。\n【演算步驟】\n公式：λ = v \u002F f（Hz = 1\u002Fs，故 m\u002Fs ÷ 1\u002Fs = m）。\n100 Hz：λ1 = 340 m\u002Fs ÷ 100 Hz = 3.4 m。\n500 Hz：λ2 = 340 m\u002Fs ÷ 500 Hz = 0.68 m。\n差值：Δλ = λ1 − λ2 = 3.4 m − 0.68 m = 2.72 m。\n【記憶點】λ = v \u002F f：頻率與波長成反比，低頻波長長、高頻波長短，「相差」要記得兩個都算再相減。",537,1,true,[27,30,33,36,39,42],{"number":28,"session":7,"stem":29},13,"於醫院的設計中，下列各空間的照度基準排列順序何者正確？",{"number":31,"session":7,"stem":32},14,"一座 2 萬席之矩形平面體育館室內無吸音處理，下列何者為最可能出現之音響障害（或稱音…",{"number":34,"session":7,"stem":35},15,"有關餘響（reverberation）的敘述，下列何者錯誤？",{"number":37,"session":7,"stem":38},17,"有關建築構造之隔音，下列敘述何者錯誤？",{"number":40,"session":7,"stem":41},18,"下列何種建築用途之每人每日用水量最大？",{"number":43,"session":7,"stem":44},19,"下列何種存水彎破封的原因，無法藉由加裝通氣管而解決？",[46,49,52,55,58],{"number":10,"session":47,"stem":48},"114180","有關音樂廳室內音質之設計目標，下列何者錯誤？",{"number":10,"session":50,"stem":51},"113190","甲乙兩張完全相同的白色辦公桌，在照明與環境條件完全相同的情況下，若將甲辦公桌的桌面色…",{"number":10,"session":53,"stem":54},"112190","依據我國室內空氣品質標準，下列敘述何者錯誤？",{"number":10,"session":56,"stem":57},"111180","依據建材吸音率之試驗結果，下列敘述何者錯誤？",{"number":10,"session":59,"stem":60},"110180","下列那一材料表面較不易發生結露？",1791863207370]