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Two wires W1 and W2 have the same radius r and respective densities ρ1 and ρ2 such that ρ2=4ρ1. They are joined together at the point O, as shown in the figure. The combination is used as a sonometer wire and kept under tension T.The point O is midway between the two bridges. When a stationary wave is set up in the composite wire, the joint is found to be a node. The ratio of the number of antinodes formed in W1 to W2 is :
  • a)
    1:1
  • b)
    1:2
  • c)
    1:3
  • d)
    4:1
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Two wires W1 and W2 have the same radius r and respective densities &r...
Standing waves are created when two waves of the same frequency and amplitude travel in opposite directions and interfere with each other. In the case of the sonometer wire, the standing wave is created by the tension in the wire and the wave velocity, which is determined by the wire's density and elasticity.
The number of antinodes (or nodes) in a standing wave is determined by the length of the wire. Since the wire is divided into two parts, W1 and W2, the number of antinodes in each part will be determined by the length of each part.

The point O is the midpoint of the wire, so W1 and W2 are each half the length of the wire. Since the number of antinodes is directly proportional to the length of the wire, the number of antinodes in W1 and W2 will be in the ratio 1:1.

Therefore, the ratio of the number of antinodes in W1 to W2 is 1:1, which means the answer is (a) 1:1.

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Two wires W1 and W2 have the same radius r and respective densities ρ1 and ρ2 such that ρ2=4ρ1. They are joined together at the point O, as shown in the figure. The combination is used as a sonometer wire and kept under tension T.The point O is midway between the two bridges. When a stationary wave is set up in the composite wire, the joint is found to be a node. The ratio of the number ofantinodes formed in W1 to W2 is :a)1:1b)1:2c)1:3d)4:1Correct answer is option 'A'. Can you explain this answer?
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Two wires W1 and W2 have the same radius r and respective densities ρ1 and ρ2 such that ρ2=4ρ1. They are joined together at the point O, as shown in the figure. The combination is used as a sonometer wire and kept under tension T.The point O is midway between the two bridges. When a stationary wave is set up in the composite wire, the joint is found to be a node. The ratio of the number ofantinodes formed in W1 to W2 is :a)1:1b)1:2c)1:3d)4:1Correct answer is option 'A'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Two wires W1 and W2 have the same radius r and respective densities ρ1 and ρ2 such that ρ2=4ρ1. They are joined together at the point O, as shown in the figure. The combination is used as a sonometer wire and kept under tension T.The point O is midway between the two bridges. When a stationary wave is set up in the composite wire, the joint is found to be a node. The ratio of the number ofantinodes formed in W1 to W2 is :a)1:1b)1:2c)1:3d)4:1Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two wires W1 and W2 have the same radius r and respective densities ρ1 and ρ2 such that ρ2=4ρ1. They are joined together at the point O, as shown in the figure. The combination is used as a sonometer wire and kept under tension T.The point O is midway between the two bridges. When a stationary wave is set up in the composite wire, the joint is found to be a node. The ratio of the number ofantinodes formed in W1 to W2 is :a)1:1b)1:2c)1:3d)4:1Correct answer is option 'A'. Can you explain this answer?.
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