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Waves question

2025 · 22 Jan · Shift 1 · Q60
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  5. /2025 · 22 Jan · Shift 1 · Q60

Waves question

2025 · 22 Jan · Shift 1 · Q60

JEE MainPhysicsWavesMCQ+4 / −1
A closed organ and an open organ tube are filled by two different gases having same bulk modulus but different densities ρ1\rho_1ρ1​ and ρ2\rho_2ρ2​, respectively. The frequency of 9th 9^{\text {th }}9th  harmonic of closed tube is identical with 4th 4^{\text {th }}4th  harmonic of open tube. If the length of the closed tube is 10 cm and the density ratio of the gases is ρ1:ρ2=1:16\rho_1: \rho_2=1: 16ρ1​:ρ2​=1:16, then the length of the open tube is :
  1. A
    157 cm\frac{15}{7} \mathrm{~cm}715​ cm
  2. B
    209 cm\frac{20}{9} \mathrm{~cm}920​ cm
  3. C
    207 cm\frac{20}{7} \mathrm{~cm}720​ cm
  4. D
    159 cm\frac{15}{9} \mathrm{~cm}915​ cm
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