When a source of sound of frequency crosses a stationary observer with a speed v, ( « speed of sound v), the apparent change in frequency Δf is given by :
In a stationary wave that forms as a result of reflection of wave from an obstacle the ratio of the amplitude at an antinode to the amplitude at node is n. The fraction of energy reflected is :
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The displacement y of a particle executing periodic motion is given by :
The expression may be consider to be a result of the superposition of independent harmonic motions :
The displacement of particles in a string stretched in the x-direction is represented by y. Among the following expressions for y, those describing wave motion are :
A transverse wave is described by the equation The maximum particle velocity is equal to four times the wave velocity if :
A transverse wave in metres, is propagating along +ve X- axis on a string. A light insect starts crawling on the string with the velocity of 5 cm/s at t = 0 along the +ve X- axis from a point where x = 5 cm . After 5 s the difference in the phase of its position is equal to :
Speed of sound wave is v. If a reflector moves towards a stationary source emitting waves of frequency f with speed u, the wavelength of reflected wave will be :
A train is moving with a constant speed along a circular track. The engine o f the train emits a sound of frequency f. The frequency heard by the guard at rear end of the train :
A standing wave is maintained in a homogeneous string of cross-sectional area a and density p. It is formed by superposition of two waves travelling in opposite directions given by the equation.
The total mechanical energy confined between the sections corresponding to the adjacent antinodes is :
A travelling wave is partialy reflected partialy and partly transmitted from a rigid boundary. Let av ar and at be the amplitudes of incident wave, reflected wave and transmitted wave and li, Ir and lt be the corresponding intensities. Then choose the correct alternative: