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Lens Formula Lens formula: The expression which shows the relation between u, v and f is called lens formula. 1/f = 1/v – 1/u Lens maker formula: If R1 and R2 are the radii of curvature of first and second refracting surfaces of a thin lens of focal length f and refractive index µ (w.r.t. surrounding medium) then the relation between f, µ, R1 and R2 is known as lens maker formula. 1/f = (µ – 1) {1/R1 – 1/R2} Magnification The ratio of the size of the image to the size of object is called magnification. (i) Transverse magnification : m = 1/O = v/u = f/f+u = f–v/f (use sign convention while solving the problem) (ii) Longitudinal magnification : m = 1/O = v2–v1/u2–u1. For very small object m = dv/du = (v/u)2 = (f/f+u)2 = (f–v/f)2 (iii) Areal magnification : ms = Ai/Ao = m2 = (f/f+u)2 (Ai = Area of image, Ao = Area of object)
Lens formula: The expression which shows the relation between u, v and f is called lens formula.
1/f = 1/v – 1/u
Lens maker formula: If R1 and R2 are the radii of curvature of first and second refracting surfaces of a thin lens of focal length f and refractive index µ (w.r.t. surrounding medium) then the relation between f, µ, R1 and R2 is known as lens maker formula.
1/f = (µ – 1) {1/R1 – 1/R2}
Magnification
The ratio of the size of the image to the size of object is called magnification.
(i) Transverse magnification : m = 1/O = v/u = f/f+u = f–v/f (use sign convention while solving the problem)
(ii) Longitudinal magnification : m = 1/O = v2–v1/u2–u1. For very small object
m = dv/du = (v/u)2 = (f/f+u)2 = (f–v/f)2
(iii) Areal magnification : ms = Ai/Ao = m2 = (f/f+u)2
(Ai = Area of image, Ao = Area of object)
draw diagram.it will clear from that wht is sign of v. it will also clear frm dat diagram that the image is real or virtual.
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