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A non-conductive transparent liquid contains an air bubble. Charge is supplied to the bubble at dq/dt = 5 C/s, causing it to expand at dr/dt = 3 cm/s, where r is the radius of curvature of the bubble acting as an equi-convex lens. The bubble maintains a constant surface charge density Ο = 5/Ο C/mΒ², and the refractive index gradient of the liquid is dΞΌ/dr = 6/200 mβ»ΒΉ. Find the refractive index of the liquid when the rate of change of focal length with respect to radius of curvature is unity (df/dr = 1).
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A Non conductive transparent liquid containing a air bubble inside it. as we are supplying a charge at the rate of dq/dt = 5 C/Sec to bubble. Then Bubble is going to expanding with rate dr/dt = 3 cm/sec. where r is radius of curvature of Equi-convex like lens (Bubble) having a constant surface charge density 5/Ο C/mΒ². while refractive index gradient dΞΌ/dr = 6/200 mβ»ΒΉ. Find the refractive index of liquid when rate of change of focal length with respect to radius of curvature is unity. a) 5/3 b) 5/4 c) 5/2 d) None of this.