A wave disturbance in a medium is described by $y = 0.02 \cos (50 π t + π / 2) \cos 10 π x$ where $x, y$ are in meters and $' t'$ in second.
Which option is incorrect.

Question

A wave disturbance in a medium is described by  $$y=0.02cos50$$$$π$$$$t+$$π$$/2cos10$$$$π$$x  where x, y are in meters and 't' in second.Which option is incorrect.

Infinity Learn · Accepted Answer

Comparing it with $$y=Acoswt+$$π$$/2coskx$$  If $$kx$$$$=$$π$$/2$$  , a node occurs  ∴ $$10$$$$π$$$$x=$$π$$/2$$ ⇒$$x=0.05$$ m Hence, nodes will occur at $$0.05$$ ,$$0.15$$, $$0.25$$.....   If $$kx$$$$=$$π ,  an antinode occurs    ∴$$10$$$$π$$$$x=$$π ⇒$$x=0.1$$ m Hence, $$anti-nodes$$ will occur at  $$0.1$$ , $$0.2$$ , $$0.3$$....  Also wave speed $$v=w/k=50$$$$π$$$$10$$π$$=5$$ $$m/$$$$sec$$  ∴λ$$=2$$π$$/k=2$$π$$/10$$π$$=0.2$$ m

A wave disturbance in a medium is described by $y = 0.02 \cos (50 π t + π / 2) \cos 10 π x$ where $x, y$ are in meters and $' t'$ in second.
Which option is incorrect.

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A wave disturbance in a medium is described by y=0.02cos50πt+π/2cos10πx where x, y are in meters and 't' in second.Which option is incorrect.

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A wave disturbance in a medium is described by $y = 0.02 \cos (50 π t + π / 2) \cos 10 π x$ where $x, y$ are in meters and $' t'$ in second.
Which option is incorrect.