Two travelling waves produces a standing wave represented by equation. y = 1 . 0   mm cos 1 . 57   cm - 1 x   sin 78 . 5   s - 1   t . The node closest to the origin in the region x > 0 will be at x = . . . . .

Question

Two travelling waves produces a standing wave represented by equation. y = 1 . 0 &#160; mm cos 1 . 57 &#160; cm - 1 x &#160; sin 78 . 5 &#160; s - 1 &#160; t . The node closest to the origin in the region x &#62; 0 will be at x = . . . . . . &#160; in &#160; cm .

Quantrex Academy · Accepted Answer

Correct answer: 1

At Node, y = 0 &#8658; cos 1.57 x sin 78.5 t = 0 &#8658; cos ( 1.57 x ) = 0 &#8658; 1.57 x = &#960; 2 &#8658; x = 1 &#160; cm

Two travelling waves produces a standing wave represented by equation. y = 1 . 0   mm cos 1 . 57   cm - 1 x   sin 78 . 5   s - 1   t . The node closest to the origin in the region x > 0 will be at x = . . . . . .   in   cm .

Correct answer

Step-by-step solution

More from Waves and Sound

Two travelling waves produces a standing wave represented by equation. y = 1 . 0 &#160; mm cos 1 . 57 &#160; cm - 1 x &#160; sin 78 . 5 &#160; s - 1 &#160; t . The node closest to the origin in the region x &#62; 0 will be at x = . . . . . . &#160; in &#160; cm .

Correct answer

Step-by-step solution

More from Waves and Sound

Two travelling waves produces a standing wave represented by equation. y = 1 . 0 mm cos 1 . 57 cm - 1 x sin 78 . 5 s - 1 t . The node closest to the origin in the region x > 0 will be at x = . . . . . . in cm .