Class name Subject Book title Chapter number Content Created at
Class XI Physics Physics Part-II 7 diminishing amplitude to the very bottom. The y(x,t) = Asin(kx − ω t)+ Bcos(kx − ωt) (14.3) particle motion in water waves involves a From Equation...
Class XI Physics Physics Part-II 7 k : angular wave number positivedirectionofx-axisatdifferenttimes. kx– t+ : initial phase angle (a+x = 0, t = 0) Using the plots of Fig. 14.6, we n...
Class XI Physics Physics Part-II 7 x = 0 origin oscillates about its mean position as the wave progresses. This is true for any other and t = 0. Hence, is called the initial phase lo...
Class XI Physics Physics Part-II 7 distance between points with the same –1 displacement (at any given instant of time) is Its SI unit is rad s . The frequency ν is the obtained by t...
Class XI Physics Physics Part-II 7 could be dropped and the units could be written merely as m . Thus, k reprπsents 2 times the number of waves (or the total phase difference) that c...
Class XI Physics Physics Part-II 7 speed v (otherwise the wave pattern will not λ = 2π/k remain fixed). The motion of a fixed phase point on the wave is given by 2π = −1 kx – ωt = co...
Class XI Physics Physics Part-II 7 2026-27 WAVES 285 the speed; Eq. (14.12) then relates wavelength to arising due to an external force). It does not frequency for the given speed. O...
Class XI Physics Physics Part-II 7 –1 therefore, use dimensional analysis. We already know that dimensional analysis alone can never Tension, T = 60 N yield the exact formula. The ov...
Class XI Physics Physics Part-II 7 inspection reveals and µ (T is a property of the stretched string that quantity B/ ρ has the relevant dimension: Reprint 2026-27 286 PHYSICS −2 −2 ...
Class XI Physics Physics Part-II 7 case is the same that as before and yields a relation like Eq. (14.18), V∆P + P∆V = 0 with an undetermined C, which the exact derivation shows to b...
Class XI Physics Physics Part-II 7 was pointed out by Laplace that the pressure variations in the propagation of sound waves are so fast that there is little time for the heat flow t...
Class XI Political Science India Constitution at Work 1 decide? The constitution has to provide an answer to this question. It specifies the basic allocation of power in a society. It decides who gets to...
Class XI Physics Physics Part-II 7 waves arrive in a region OFWAVES simultaneously, and therefore, overlap, the net displacement y (x,t) is given by What happens when two wave pulses...
Class XI Physics Physics Part-II 7 in phase, and y 2x, t) = a sin (kx – t + ) (14.28) y t  2a sin k  t (14.33) The net displacement is then, by the principle of superposition,...
Class XI Physics Physics Part-II 7 completely free to move (such as in completely rigid or is an interface between two the case of a string tied to a freely moving ring different ela...
Class XI Physics Physics Part-II 7 waves differ by a phase of π, so that yr(x, t) = a sin (kxω–t + 0). the resultant displacement is zero. This = a sin (kx –ω t) (14.36) reasoning is...
Class XI Physics Physics Part-II 7 t) + sin (kx + t)] nodes; the points at which the amplitude is the Using the familiar trigonometric identity largest are called antinodes. Fig. 14....
Class XI Physics Physics Part-II 7 is different at different locations. The points at which the amplitude is n  zero (i.e., where there is no motion at all) are x = ; n = 0, 1, 2, 3...
Class XI Physics Physics Part-II 7 case of a stretched string of length L fixed at both ends. Taking one end to be at x = 0, the boundary conditions are that x = 0 and x = L are posi...
Class XI Physics Physics Part-II 7 with the same source be water to be x = 0, the node condition (Eq. 14.38) observed if one end of the pipe is closed ? is already satisfied. If the ...
Class XI Physics Physics Part-II 7 easily seen that an open air column at both ends generates all harmonics (See Fig. 14.15). The systems above, strings and air columns, can also und...
Class XI Physics Physics Part-II 7 , 5= , and so on. Using the familiar trigonometric identity for 4L 4L cos A + cosB, we get –1 For L = 30 cm and v = 330 m s , the ( - )t ( + ...
Class XI Physics Physics Part-II 7 ν 2 (14.48) Fig. 14.16 illustrates the phenomenon of beats for two harmonic waves of frequencies 11 Hz and 9 Hz. The amplitude of the resultant wav...
Class XI Physics Physics Part-II 7 the original frequency The musical pillars of Nelliappar and of B (νB) were greater than that of AνA), further several other temples in southern In...
Class XI Physics Physics Part-II 7 through the relation 2π T = ω 8. Frequency v of a wave is defined as 1/T and is related to angular frequency by ω ν = 2 π ω λ 9. Speed of a progres...