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  • 1
    Two small identical speakers are connected in phase to the same source. The speakers are $3 \,m$ apart and at ear level. An observer stands at $P, 4 \,m$ in front of one speaker as shown alongside. The sound she hears is least intense when the wavelength is $\lambda_1$ and most intense when the wavelength is $\lambda_2$. Then, the possible values of $\lambda_1$ and $\lambda_2$ are
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  • 2
    Two vehicles, each moving with speed $u$ on the same horizontal straight road, are approaching each other. Wind blows along the road with velocity $w$. One of these vehicles blows a whistle of frequency $f_1$. An observer in the other vehicle hears the frequency of the whistle to be $f _2$. The speed of sound in still air is $V$. The correct statement$(s)$ is (are) :

    $(A)$ If the wind blows from the observer to the source, $f_2 > f_1$.

    $(B)$ If the wind blows from the source to the observer, $f_2 > f_1$.

    $(C)$ If the wind blows from the observer to the source, $f _2 < f _1$.

    $(D)$ If the wind blows from the source to the observer, $f _2 < f _1$.

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  • 3
    Length of a string tied to two rigid supports is $40 cm$. Maximum length (wavelength in $cm$) of a stationary wave produced on it is ... $cm$
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  • 4
    Frequency range of the audible sounds is
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  • 5
    Two identical strings $X$ and $Z$ made of same material have tension $T _{ x }$ and $T _{ z }$ in them. If their fundamental frequencies are $450\, Hz$ and $300\, Hz ,$ respectively, then the ratio $T _{ x } / T _{ z }$ is$.....$
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  • 6
    The equation of a standing wave in a string fixed at both ends is given as $y=2 A \sin k x \cos \omega t$ The amplitude and frequency of a particle vibrating at the mid of an antinode and a node are respectively
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  • 7
    A glass tube $1.5 m$ long and open at both ends, is immersed vertically in a water tank completely. A tuning fork of $660 Hz$ is vibrated and kept at the upper end of the tube and the tube is gradually raised out of water. The total number of resonances heard before the tube comes out of water, taking velocity of sound air $330 m/sec$ is
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  • 8
    Two sound waves of wavelength ${\lambda _1}$ and ${\lambda _2}$ $\left( {{\lambda _2} > {\lambda _1}} \right)$ produce $n\, beats/s$, the speed of sound is
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  • 9
    A heavy ball of mass $M$ is suspended from the ceiling of car by a light string of mass $m (m << M)$. When the car is at rest, the speed of transverse waves in the string is $60\, ms^{-1}$. When the car has acceleration $a$ , the wave-speed increases to $60.5\, ms^{-1}$. The value of $a$ , in terms of gravitational acceleration $g$ is closest to
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  • 10
    If the amplitude of sound is doubled and the frequency reduced to one-fourth, the intensity of sound at the same point will be
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