Q$7.(10$ points$)$ If a compressor airfoil is made of a different material, such that density is $25\%$ of that for the original material and Young's modulus is $4$ times that for the original material, by what factor would the new natural frequencies change as compared to the original natural frequencies? $($Note: answer of $>1$ means the value will increase. Answer of $<mn>1</mn>$ means that the value decrease. For example, an answer of $0\mathrm{.}5$ will indicate that the new natural frequency is half of the original.$)$