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(a) Two lenses have power of (i) + 2D (ii) - 4D. What is the nature and focal length of each lens.?(b) An object is kept at a distance of 100cm from each of the above lenses.Calculate the (i) image distance (ii) magnification in each of the two cases.

Answer»

pwhere,p=powerf = focal LENGTH(1)given p= +2f = 1/2=.5m value is positive so lens is convex with focal length 0.5m(2)givenp=-4f= 1/-4= -0.25mvalue is negative so lens is concave of focal length -0.25m. (B(1)We know that=>> givenu= -100cm = -1mf= 0.5m1/v= 1/f +1/u1/v= 1/0.5+ 1/-11/v= 2-11/v=1v=1Image DISTANCE =1m(2)U= -100=-1mf= -0.251/v=1/f +1/u1/v = 1/-0.25 + 1/-11/v = -5v= 1/-5=-0.2Image distance = -0.2m(C) (1st)We know thatMagnificationm= v/u m=1/-1m =-1(2nd)m=v/um= -0.2/-1m= .02



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