a convex concave diverging lens is made of glass of refractive index 1.5 and focal length 24 cm. Radius of curature for one surface is doubled that off the other .Then radii of curature for two surfaces are( in cm)
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we can use the lens makers formula to solve this problem.
Lens makers formula is
1/f=(n−1)(1/R1–1/R2)1/f=(n−1)(1/R1–1/R2).
Substituting the given values, the formula becomes
For the medium of refractive index 1.5
1/15=(1.5–1)(1/R1–1R2)1/15
=(1.5–1)(1/R1–1R2) ————(1)
For the medium of refractive index 4/3
1/f=(1.33–1)(1/R1–1/R2)1/f
=(1.33–1)(1/R1–1/R2)————(2)
Dividing (1) by (2) will yield the value of. f 22.72 cm.
hope it helps.....
Lens makers formula is
1/f=(n−1)(1/R1–1/R2)1/f=(n−1)(1/R1–1/R2).
Substituting the given values, the formula becomes
For the medium of refractive index 1.5
1/15=(1.5–1)(1/R1–1R2)1/15
=(1.5–1)(1/R1–1R2) ————(1)
For the medium of refractive index 4/3
1/f=(1.33–1)(1/R1–1/R2)1/f
=(1.33–1)(1/R1–1/R2)————(2)
Dividing (1) by (2) will yield the value of. f 22.72 cm.
hope it helps.....
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