length of a string tied to two rigid supports is 40 cm. Maximum length (wavelength in cm) of a stationary wave produced on it is (a) 20 (b) 80 (c) 40 (d) 120

Answer: (b). The longest wavelength is in the fundamental mode, one loop: L = (λ)/(2). λmax = 2L = 2 × 40 = 80 cm. So the answer is (b) 80.

length of a string tied to two rigid supports is 40 cm. Maximum… | JEE Main 2002 (AIEEE)

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Stationary Waves & Vibrating Strings

length of a string tied to two rigid supports is $40\text{ cm}$ . Maximum length (wavelength in $\text{cm}$ ) of a stationary wave produced on it is

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Answer: (b)

The longest wavelength is in the fundamental mode, one loop: $L = \dfrac{\lambda}{2}$ .
$\lambda_{max} = 2L = 2 \times 40 = 80\text{ cm}$ .
So the answer is (b) $80$ .