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Standing waves are produced by the super...

Standing waves are produced by the superposition of
two waves
`y_(1)=0.05 sin (3 pit-2x) and y_(2) = 0.05 sin (3pit+2x)`
Where x and y are in metres and t is in second. What
is the amplitude of the particle at `x = 0.5` m ? (Given,
`cos 57. 3 ^(@) = 0. 54)`

A

0.54 m

B

5.4 m

C

54 m

D

0.054 m

Text Solution

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The correct Answer is:
D
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MOTION-WAVES-EXERCISE -1 (Objective Problems JEE Main)
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  2. Two waves are represented by Y1=a1 cos (omegat-kx) and Y-2 =a2 sin ...

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  3. Standing waves are produced by the superposition of two waves y(1)...

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  4. If two waves are represented by : y1=2 sin (4x-300t)& y2= sin (4x-3...

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  5. x(1)=A sin (omegat-0.1x) and x(2)=A sin (omegat-0.1 x-(phi)/2) Result...

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  6. A pulse shown here is reflected from the rigid wall A and then from fr...

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  7. A Wave pulse on a string has the dimension shown in figure. The waves ...

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  8. A wave pulse, travelling on a two piece string, gets partially reflect...

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  9. Two waves are given byy(1) = a sin (omega t - kx) and y(2) = a cos (om...

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  10. Two waves are represented by the following equations : y1 =5 sin 2p...

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  11. Figure shows a rectangular pulse and a triangular pulse approaching ea...

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  12. A wave is represented by the equation y=10 sin 2pi (100 t-0.02x)+ 10 s...

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  13. The resultant amplitude due to superposition of two waves y1 =5 sin (...

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  14. The equation of stationary wave along a stretched string is given by ...

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  15. The equation for the vibration of a string fixed at both ends vibratin...

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  16. The vibrations of a string of length 60 cm fixed at both ends are repr...

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  17. If a wave is represented by the following equation y=A cos (2pix)/(l...

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  18. Two wave pulses travel in opposite directions on a string and approach...

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  19. A wire of linear mass density 9x10^(-3) kg/m is stretched between two ...

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  20. A stretched sonometer wire resonates at a frequency of 350 Hz and at t...

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