A thin lens of focal length \(f_{\mathrm{A}}\) is made of a material for which the index of refraction is \(n_{\mathrm{A}}=1.1\). If you make a lens \(B\) that is identical to lens \(A\) in every way except that the index of refraction of the material used to make \(B\) is \(n_{\mathrm{B}}=2 n_{\mathrm{A}}\), how does the focal length \(f_{\mathrm{B}}\) for this lens compare with \(f_{\mathrm{A}}\) ?