Two harmonic waves are described by $y _ { 1 } = ( 6 \mathrm {~cm} ) \sin \left( \pi \left( \frac { 8 } { \mathrm {~m} } x + \frac { 2 } { \mathrm {~s} } t \right) \right)$
$$y _ { 2 } = ( 6 \mathrm {~cm} ) \sin \left( \pi \left( \frac { 8 } { \mathrm {~m} } x - \frac { 2 } { \mathrm {~s} } t \right) \right)$$ From the choices given,determine the smallest positive value of x (in cm)corresponding to a node of the resultant standing wave.
A)3
B)0.25
C)0
D)6
E)1.5

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The Answer of Two harmonic waves are described by $y _ { 1 } = ( 6 \mathrm {~cm} ) \sin \left( \pi \left( \frac { 8 } { \mathrm {~m} } x + \frac { 2 } { \mathrm {~s} } t \right) \right)$
$$y _ { 2 } = ( 6 \mathrm {~cm} ) \sin \left( \pi \left( \frac { 8 } { \mathrm {~m} } x - \frac { 2 } { \mathrm {~s} } t \right) \right)$$ From the choices given,determine the smallest positive value of x (in cm)corresponding to a node of the resultant standing wave.
A)3
B)0.25
C)0
D)6
E)1.5

Two Harmonic Waves Are Described By y1=(6 cm)sin⁡(π(8 mx+2 st))y _ { 1 } = ( 6 \mathrm {~cm} ) \sin \left( \pi \left( \frac { 8 } { \mathrm {~m} } x + \frac { 2 } { \mathrm {~s} } t \right) \right)y1​=(6 cm)sin(π( m8​x+ s2​t))

Two Harmonic Waves Are Described By $y _ { 1 } = ( 6 \mathrm {~cm} ) \sin \left( \pi \left( \frac { 8 } { \mathrm {~m} } x + \frac { 2 } { \mathrm {~s} } t \right) \right)$