A string is clamped at both the ends and it is vibrating in its 4 t h harmonic. The equation of the stationary wave is y = 0.3 sin ⁡ 0.157 x c o s ( 200 π t ) . The length of the string is (All quantities are in S I units.)

Question

A string is clamped at both the ends and it is vibrating in its 4 t h harmonic. The equation of the stationary wave is y = 0.3 sin &#8289; 0.157 x c o s ( 200 &#960; t ) . The length of the string is (All quantities are in S I units.)

Quantrex Academy · Accepted Answer

Correct answer: D. 80 m

From the equation, k = 0.157 2 &#960; &#955; = 0.157 &#955; = 40 &#160; m But, length of the wire in 4 th harmonic, l = 4 &#215; &#955; 2 = 2 &#955; = 80 &#160; m .

A string is clamped at both the ends and it is vibrating in its 4 t h harmonic. The equation of the stationary wave is y = 0.3 sin ⁡ 0.157 x c o s ( 200 π t ) . The length of the string is (All quantities are in S I units.)

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Correct answer

Step-by-step solution

More from Waves and Sound

A string is clamped at both the ends and it is vibrating in its 4 t h harmonic. The equation of the stationary wave is y = 0.3 sin &#8289; 0.157 x c o s ( 200 &#960; t ) . The length of the string is (All quantities are in S I units.)

Options

Correct answer

Step-by-step solution

More from Waves and Sound

A string is clamped at both the ends and it is vibrating in its 4 t h harmonic. The equation of the stationary wave is y = 0.3 sin ⁡ 0.157 x c o s ( 200 π t ) . The length of the string is (All quantities are in S I units.)