In a resonance column first and second resonance are obtained at depths 24{ cm} and 78{ cm} the third resonance will be obtained at depth.

Correct Answer is : 132 cm132{ cm}132 cm

Correct Answer is : 132 cm132{ cm}132 cm

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BITSAT 2022 Paper

Section: Physics

Question : 2 of 130

Marks: +1, -0

24\text{ cm}

78\text{ cm}

Solution: 👈: Video Solution

Given, first resonance column at deoth,

l_1=24\text{ cm}

Second resonance column at depth,

l_2 = 78\text{ cm}

Third resonance column at depth,

l_3=?

\text{As } l_1 + x = \frac{\lambda}{4} = 24 \text{...............} (i)

l_2 + x = \frac{3\lambda}{4} = 78 \text{................} (ii)

l_3 + x = \frac{5\lambda}{4} \text{................} (iii)

From Eqs. (i) and (ii),

x = \frac{l_2-3l_1}{2} = \frac{78-3(24)}{2} = 3 \text{..................} (iv)

substituting

l_1

and

x

value, we get

l_3 = 5(24)+4(3)

\Rightarrow l_3 = 132\text{ cm}.

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