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A-lens-is-required-to-have-a-power-of-2-5-dioptres-in-air-the-convex-front-surface-has-a-radius-of-curvature-of-30cm-calculate-the-radius-of-curvature-of-the-rear-surface-

Question Number 134323 by aurpeyz last updated on 02/Mar/21 $${A}\:{lens}\:{is}\:{required}\:{to}\:{have}\:{a}\:{power}\:{of} \\ $$$$−\mathrm{2}.\mathrm{5}\:{dioptres}\:{in}\:{air}.\:{the}\:{convex} \\ $$$${front}\:{surface}\:{has}\:{a}\:{radius}\:{of}\:{curvature} \\ $$$${of}\:\mathrm{30}{cm}.\:{calculate}\:{the}\:{radius}\:{of}\:{curvature} \\ $$$${of}\:{the}\:{rear}\:{surface} \\ $$ Answered by ajfour last updated…

the-radii-of-curvatures-of-front-and-rear-surfaces-of-a-thin-convex-lens-are-30cm-and-12cm-respectively-what-is-its-focal-length-when-placed-inside-water-take-the-refractive-indices-of-glass-and-

Question Number 134319 by aurpeyz last updated on 02/Mar/21 $${the}\:{radii}\:{of}\:{curvatures}\:{of}\:{front}\:{and} \\ $$$${rear}\:{surfaces}\:{of}\:{a}\:{thin}\:{convex}\:{lens}\: \\ $$$${are}\:\mathrm{30}{cm}\:{and}\:\mathrm{12}{cm}\:{respectively}.\: \\ $$$${what}\:{is}\:{its}\:{focal}\:{length}\:{when}\:{placed} \\ $$$${inside}\:{water}?\:\left({take}\:{the}\:{refractive}\right. \\ $$$${indices}\:{of}\:{glass}\:{and}\:{water}\:{to}\:{be}\:\mathrm{1}.\mathrm{52} \\ $$$${and}\:\mathrm{1}.\mathrm{33}\:{respectively} \\ $$ Commented…

proof-that-k-n-k-n-k-n-

Question Number 134270 by abdurehime last updated on 01/Mar/21 $$\mathrm{proof}\:\mathrm{that} \\ $$$$\left.\begin{cases}{\mathrm{k}}\\{\mathrm{n}}\end{cases}\right\}=\frac{\mathrm{k}!}{\mathrm{n}!×\left(\mathrm{k}−\mathrm{n}\right)!} \\ $$ Commented by mr W last updated on 02/Mar/21 $${you}\:{mean}\:\left(_{{n}} ^{{k}} \right)=\frac{{k}!}{{n}!×\left({k}−{n}\right)!}.…

I-ve-got-a-Cambridge-interview-for-mathematics-coming-up-and-I-m-wondering-what-pieces-of-advice-I-could-possibly-get-from-members-of-this-forum-I-ve-been-doing-some-work-in-an-attempt-to-prepare-so

Question Number 3185 by Yozzi last updated on 06/Dec/15 $${I}'{ve}\:{got}\:{a}\:{Cambridge}\:{interview}\:{for} \\ $$$${mathematics}\:{coming}\:{up}\:{and}\:{I}'{m} \\ $$$${wondering}\:{what}\:{pieces}\:{of}\:{advice}\:{I} \\ $$$${could}\:{possibly}\:{get}\:{from}\:{members}\:{of} \\ $$$${this}\:{forum}.\:{I}'{ve}\:{been}\:{doing}\:{some}\:{work}\: \\ $$$${in}\:{an}\:{attempt}\:{to}\:{prepare}\:{so}\:{that}'{s}\:{why} \\ $$$${I}\:{haven}'{t}\:{been}\:{posting}\:{questions}\:{in} \\ $$$${relation}\:{to}\:{series}\:{and}\:{sequences}\: \\…