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Q.

STATEMENT – I: The general equation of wave is of the form y(x,t)=f(ax±bt). Hence a function y=loge(x+vt) also represent a wave y(x,t)=f(ax±bt)
STATEMENT – II: Any function y(x,t)=f(ax±bt) which satisfies 2yt2=v22yx2 and is finite everywhere and at all times represent a wave
 

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a

STATEMENT – I is True, STATEMENT – 2 is True; STATEMENT – 2 is NOT a Correct explanation for STATEMENT – 1 

b

STATEMENT – I is True, STATEMENT – 2 is True; STATEMENT – 2 is a correct explanation for STATEMENT – 1 

c

STATEMENT – 1 is True, STATEMENT – 2 is False

d

STATEMENT – 1 is False, STATEMENT – 2 is True

answer is D.

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Detailed Solution

y=loge(x+ut) is not a finite function. Therefore, it cannot represent a travelling wave.

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