Question

List - I List - II
a) Phase difference e) $\pi$
between two particles in
alternate loops.
b) Phase difference f) $\frac{\pi }{2}$
between two particles in
successive loops
c) Phase difference between g) $2\pi$
two particles in the same loop
d) Phase difference between h) $0$
$Y_1=a\sin (\omega t-Kx)$
$Y_2=a\cos (\omega t-Kx)$

• A. a-g, b-e, c-h, d-f
• B. a-e, c-f, d-g, e-h
• C. a-f, b-e, c-g, d-h
• D. a-g, b-e, c-f, d-h

Answer 1

The correct option is A a-g, b-e, c-h, d-f

a ) Two particles in alternate loops refers to particles having same phase and direction
$\therefore$ phase difference is $2\pi$
b ) Two particles in successive loops differs in phase by $\pi$
c ) Two particles in same loop are always in phase $\Rightarrow$ phase difference is $0$.
d ) $y_1=a\sin (\omega t-kx)$
$y_2=a\cos (\omega t-kx)$
$=a\sin (\omega t-kx+\frac{\pi }{2})$
$\Rightarrow$ phase difference is $\frac{\pi }{2}$.