Interference Definition

Q. Statement I- Two longitudinal waves given by equations $y_1(x,t)=2\text{a}\sin (\omega t-kx)$ and $y_2(x,t)=\text{a}\sin (2\omega t-2kx)$ will have equal intensity.
Statement II- Intensity of waves of given frequency in same medium is proportional to square of amplitude only.

1. Statement I is true, statement II true; statement II is the correct explanation of statement I
2. Statement I is true, statement II is true; statement II is not correct explanation of statement I
3. Statement I is ture, statement II is false
4. Statement I is false, statement II is true

Q. Two waves of equal frequencies moving in the same direction have their amplitudes in the ratio $7:5$. They are superimposed on each other. Find the ratio of maximum to minimum intensity of the resultant wave.

1. $16:25$
2. $25:16$
3. $36:1$
4. $1:36$

Q. Two waves of equal frequencies, have their amplitudes in the ratio of $4:5$. They are superimposed on each other. Calculate the ratio of maximum and minimum intensity of the resultant wave.

1. $81:1$
2. $9:1$
3. $3:1$
4. $27:1$

Q. Two wires having different mass densities are soldered together end to end, then stretched under tension $T$. The wave speed in the first wire is twice that in the second wire and the amplitude of incident wave is $a$. Assuming no energy losses in the wire, find the fraction of the incident power that is reflected.

1. $\frac{1}{2}$
2. $\frac{1}{5}$
3. $\frac{8}{9}$
4. $\frac{1}{9}$

Q. Q.19. The intensity of sound wave gets reduced by 20% while passing through the slab. The reduction in intensity of passage through two such consecutive slabs would be :
(1) 40 %
(2) 36 %
(3) 30 %
(4) 50 %