Trên mặt nước có hai nguồn sóng kết hợp cùng pha A, B cách nhau 6 cm, bước sóng λ = 6 mm. Xét hai điểm C, D trên mặt nước tạo thành hình vuông ACDB. Số điểm dao động với biên độ cực tiểu trên đoạn CD là
A.6.
B.7.
C.8.
D.9.
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Đáp án B.
Gọi khoảng cách từ một điểm bất kỳ thuộc CD đến các nguồn A, B tương ứng là d2 và d1
Ta có
+ Điểm cực đại trên đoạn CD thỏa mãn:
với
Có 7 giá trị của k là nên có 7 điểm cực đại trên CD.
+ Điểm cực tiểu trên đoạn CD thỏa mãn
,
Có 6 giá trị của k thỏa mãn
nên có 6 điểm cực tiểu trên CD.
Đáp án B
Gọi khoảng cách từ một điểm bất kỳ thuộc CD đến các nguồn A, B tương ứng là d 2 và d 1
Ta có AD − BD ≤ d 2 − d 1 ≤ AC − BC
+ Điểm cực đại trên đoạn CD thỏa mãn: d 2 − d 1 = kλ, k = 0, ± 1, ± 2, ± 3 ... với ⇒ AD − BD ≤ kλ ≤ AC − BC ⇔ AD − BD λ ≤ k ≤ AC − BC λ
⇒ − 3 , 3 ≤ k ≤ 3 , 3
Có 7 giá trị của k là 0, ± 1, ± 2, ± 3 nên có 7 điểm cực đại trên CD
+ Điểm cực tiểu trên đoạn CD thỏa mãn: d 2 − d 1 = 2 k + 1 λ 2 , với k = 0, ± 1, ± 2, ± 3 ...
⇒ AD − BD ≤ 2 k + 1 λ 2 ≤ AC − BC ⇔ 2 AD − BD λ ≤ 2k + 1 ≤ 2 AC − BC λ ⇒ − 3 , 8 ≤ k ≤ − 2 , 83
Có 6 giá trị của k thỏa mãn k = 0, ± 1, ± 2, − 3 , − 2 nên có 6 điểm cực tiểu trên CD
Đáp án A
+ Số dãy cực đại giao thoa - AB λ ≤ k ≤ A B λ ⇔ - 5 , 3 ≤ k ≤ 5 , 3
→ có 11 dãy.
+ Xét tỉ số: AD - BD λ = - 2 , 2
→ Trên BD có 7 cực đại dao thoa ứng với k = –1….5
ü Đáp án A
+ Số dãy cực đại giao thoa
- A B λ ≤ k ≤ A B λ ⇔ - 5 , 3 ≤ k ≤ 5 , 3
→ có 11 dãy
+ Xét tỉ số: A D - B D λ = - 2 , 2
→ Trên BD có 7 cực đại dao thoa ứng với k = –1….5
Đáp án B
- Xét trên tam giác vuông AOC có OA = 6 cm, OC = 8 cm → AC = 8 2 + 6 2 = 10cm.
- Gọi M là điểm nằm trên CO dao động cùng pha với nguồn → AM = kλ = 1,6k.
Lại có AO ≤ AM ≤ AC ↔ 6 ≤ 1,6k ≤ 10 → 3,75 ≤ k ≤ 6,75
Có 3 giá trị k nguyên thỏa mãn → Trên CO có 3 điểm dao động cùng pha với nguồn.
- Trên đoạn DO (với D đối xứng với C qua O) cũng có 3 điểm dao động cùng pha với nguồn.
→ Trên CD có tất cả có 6 điểm dao động cùng pha với nguồn.
Số điểm dao động với biên độ cực tiểu trên CD thỏa mãn:
\(AD\leq d_1 \leq AC \Rightarrow -AC \leq -d_1\leq -AC\\ BC\leq d_2 \leq BD \\\)=> \(BC-AC\leq d_2-d_1\leq AC-AD\)![](data:image/png;base64,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)
\(\Rightarrow 6-6\sqrt{2} \leq (k+0.5)\lambda\leq 6\sqrt{2}-6\\ \Rightarrow -4.64 \leq k \leq 3.64\\ \Rightarrow k = -4;-3;-2;-1;0;1;2;3.\)
Có 8 điểm dao động với biên độ cực tiểu.