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Q.

Two pulses travelling on the same string are described by the equation y1=5(3x4t)2+2 and y2=5(3x+4t6)2+2 with respect to these string waves. Mark the correct statements.

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a

At t=43s the two waves cancel each other everywhere 

b

At all the points, two waves always cancel.

c

At x=1m the two waves always cancel each other

d

At t=34s the two waves cancel each other everywhere 

answer is B, C.

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Detailed Solution

For cancellation of waves y1+y2=0

For any value of x, the two waves would have zero resultant if 4t=4t6t=34s

For any t, resultant would be zero if 3x=(3x6) i.e., x=1m

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Two pulses travelling on the same string are described by the equation y1=5(3x−4t)2+2 and y2=−5(3x+4t−6)2+2 with respect to these string waves. Mark the correct statements.