Q.

If β = bulk modulus of electricity A = amplitude, K = angular wave number, r = radius, Y = Young's modulus, m = mass, ω = angular frequency, F = force, and S = area, match Column I with Column II and mark the correct option from the codes given below.

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a

Codes:i    ii   iii    iva   b   c    d

b

Codes:i    ii   iii    ivc   a   b    d

c

Codes:i    ii   iii    ivb   a   d    c

d

Codes:i         ii    iii    iva,b   c,d   a    b

answer is B.

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Detailed Solution

(i) Pressure amplitude in pressure wave =βAk∴ βAk= Pressure = Force  Area =Nm−2 (ii) Intensity of wave =12ρA2ω2c= Power  Area =Wm−2     Thus, (ii)→(a) (iii)  F2lSY=N2mm2N/m2=Nm=J    Thus, (iii) → (b) r3GM=m3Nm2kg2×kg=kgmN=kgmkgm/s2=second    Thus, (iv) →(d)
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