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Two waves have equations $x_1=a \sin \left(\omega t+\phi_1\right)$ and $x_2=a \sin \left(\omega t+\phi_2\right)$. If in the resultant wave the frequency and amplitude remain equal to amplitude of superimposing waves, the phase difference between them is ........
A source of sound $S$ emitting waves of frequency $100\,\, Hz$ and an observer $O$ are ocated at some distance from each other. The source is moving with a speed of $19 .4\,\, m s^{-1}$ at an angle of $60^o $ with the source observer line as shown in the figure. The observer is at rest. The apparent frequency observed by the observer .... $Hz$ (velocity of sound in air $330 \,\, m s^{-1}$), is
A uniform string resonates with a tuning fork, at a maximum tension of $32 \,N$. If it is divided into two segments by placing a wedge at a distance one-fourth of length from one end, then to resonance with same frequency the maximum value of tension for string will be ........... $N$
$16$ tunning forks are arranged in the order of increasing frequencies. Any two successive forks give $8$ beats per sec when sounded together. If the frequency of the last fork is twice the first, then the frequency of the first fork is
For a transverse wave travelling along a straight line, the distance between two peaks (crests) is $5 \,m ,$ while the distance between one crest and one trough is $1.5 \,m$ The possible wavelengths (in $m$ ) of the waves are
A particle of mass $5 × 10^{-5}\ kg$ is placed at lowest point of smooth parabola $x^2$ = $40y$ ($x$ and $y$ in $m$) (in $rad/s$). If it is displaced slightly such that it is constrained to move along parabola, angular frequency of oscillation will be approximately
The particle displacement of a travelling longitudional wave is represented by $\xi = \xi (x,t)$. The midpoints of a compression zone and an adjacent rarefaction zone are represented by the letter ‘$C’$ and $‘R’$. Which of the following is true?
Calculate the frequency of the second harmonic formed on a string of length $0.5 m$ and mass $2 × 10^{-4}$ kg when stretched with a tension of $20 N$ .... $Hz$