যদি \(x\propto y^{\frac{3}{2}}\) হয়, তবে \(y \propto \) হবে - (a) \(x^{\frac{2}{3}}\) (b) \(x^{3}\) (c) \(x^{2}\) (d) \(x^{\frac{3}{2}}\)
Loading content...
Answer: A
\(x\propto y^{\frac{3}{2}}\)
বা, \(x=k y^{\frac{3}{2}}\)
বা, \(y^{\frac{3}{2}}=\cfrac{x}{k}\)
বা, \(y=\left(\cfrac{x}{k}\right)^{\frac{2}{3}}\)
বা, \(y=\left(\cfrac{1}{k}\right)^{\frac{2}{3}}\times x^{\frac{2}{3}} \)
বা, \(y \propto x^{\frac{2}{3}} \)
\(x\propto y^{\frac{3}{2}}\)
বা, \(x=k y^{\frac{3}{2}}\)
বা, \(y^{\frac{3}{2}}=\cfrac{x}{k}\)
বা, \(y=\left(\cfrac{x}{k}\right)^{\frac{2}{3}}\)
বা, \(y=\left(\cfrac{1}{k}\right)^{\frac{2}{3}}\times x^{\frac{2}{3}} \)
বা, \(y \propto x^{\frac{2}{3}} \)