Waves

JEE Main level, single correct, medium

25 of 142

Question 25 of 142

The equation of a wave travelling on a string is y=sin⁡[20πx+10πt]\mathrm{y}=\sin [20 \pi \mathrm{x}+10 \pi \mathrm{t}], where x and t are distance and time in SI units. The minimum distance between two points having the same oscillating speed is :

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Answer: (A) 5.0 cm

Minimum distance between 2 points having same speed is λ2\frac{\lambda}{2}.
λ=2πk=110 m=10 cm\lambda=\frac{2 \pi}{\mathrm{k}}=\frac{1}{10} \mathrm{~m}=10 \mathrm{~cm}
 Distance =λ2=5 cm\text { Distance }=\frac{\lambda}{2}=5 \mathrm{~cm}

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