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Statement-1`:` Two longitudinal waves given by equation `y_(1)(x,t)=2asin(omegat-kx)` and `y_(2)(x,t)=a sin (2 omegat-2kx)` will have equal intensity. Statement-2 `:` Intensity of waves of given frequency ini same medium is proportioal to square of amplitude only.A. Statement-1 is false, statement -2 is true.B. Statement-1 is true, statement-2 is false.C. Statement-1 is true, statement-2 is true, statement-2 is the correct explanation of statement-1.D. Statement-1 is true, statement-2 is true, statement-2 is not correct explanation of statement-1. |
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Answer» Correct Answer - b We know that intensity `(I)` of a wave. (i) is directly proportinoal to square of amplitude `(A)` (ii) is directlly proportional to square of angular frequency `(omega)` i.e., `Iprop A^(2)omega^(2)` For first wave, `I_(1)prop(2a)^(2)xxomega^(2)` or `I_(1)=k4a^(2)omega^(2)` For second wave, `I_(2) prop(a)^(2)xx(2omega)^(2)` or` I_(2)k4a^(2)omega^(2)` i.e., Intensity depends upon frequency also. Thus statement 1 is true but statment 2 is false. |
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