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A sting of length 1m and linear mass density 0.01 `kg//m` is stretched to a tension of 100 N. When both ends of the string are fixed, the three lowest frequencies for standing wave are `f_1, f_2 and f_3` . When only one end of the string is fixed, the three lowest frequencies for standing wave are `n_1, n_2 and n_3`. Then,

A

`n_3=5n_1=f_3=125 Hz`

B

`f_3=5f_1=n_2=125Hz`

C

`f_3=n_2=3f_1=150 Hz`

D

`n_2=(f_1+f_2)/(2) =75 Hz`

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The correct Answer is:
D
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MOTION-WAVES-EXERCISE -2 (Level -I) (Objective Problems JEE Main)
  1. Two pulses in a stretched string whose centres are initially 8 cm apar...

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  2. Equations of two progressive waves at a certain point in a medium are ...

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  3. there are three strings RP, Pqand QS as shown. Their mass and length a...

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  4. Two pulses in a stretched string whose centres are initially 8 cm apar...

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  5. Two waves represented by y1 =a sin omega t and y2 =a sin (omega t+phi...

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  6. A harmonic wave is travelling on string 1. At a junction with string 2...

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  7. A composite string is made up of two uniform strings having mass per ...

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  8. In the previous question, the percentage of power transmitted to the h...

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  9. A wave moving with constant speed on a uniform string passes the point...

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  10. A metallic wire of length l is held between two rigid supports. If the...

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  11. In the shown figure answer the following two questions If Pi , Pr...

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  12. A standing wave y=A sin((20pix)/(3))cos (1000pit) is set up in a taut ...

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  13. A wave represented by the equation y=acos(kx-omegat) is superposed wit...

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  14. A taut string at both ends viberates in its n^(th) overtone. The dista...

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  15. A standing wave pattern of amplitude A in a string of length L shows 2...

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  16. The equation of a wave distrubance is a given as y= 0.02 sin ((pi)/(...

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  17. The frequency of a sonometer wire is f . When the weight producting th...

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  18. A sting of length 1m and linear mass density 0.01 kg//m is stretched t...

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  19. A uniform string fixed at both ends vibrates in a resonant mode with a...

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  20. Figure, shows a stationary wave between two fixed points P and Q Which...

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