JEE Main 2022 · 27 Jul · Shift 2 · Physics Q57

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PhysicsInteger+4 / -1Question 57 of 90

A wire of length 30 cm, stretched between rigid supports, has it's n $^{\text{th}}$ and (n+1) $^{\text{th}}$ harmonics at 400 Hz and 450 Hz, respectively. If tension in the string is 2700 N, it's linear mass density is ______ kg/m.

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Answer and worked solution

Official answer: 3

Fundamental $450-400=50$ Hz $=\frac1{2(0.3)}\sqrt{\frac{2700}\mu}$ , so $\sqrt{\frac{2700}\mu}=30$ and $\mu=3$ kg/m.

Answer: 3

Topics:Standing waves in strings Speed of waves

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JEE Main 2022 · 27 Jul · Shift 2, Physics question 57