Question 15

loading...

Prev/Next links

Jambmaths question: 

$\begin{align}  & \text{If }r\text{ varies inversely as the square root of }s\text{ and }t\text{ how does }s\text{ vary with }r\text{ and }t. \\ & (A)\text{ }s\text{ varies directly as }r\text{ and }t \\ & (B)\text{ }s\text{ varies inversely as }r\text{ and }{{t}^{2}} \\ & (C)\text{ }s\text{ varies inversely as }{{r}^{2}}\text{ and }t \\ & (D)\text{ }s\text{ varies directly as }{{r}^{2}}\text{ and }{{t}^{2}} \\\end{align}$

Jamb Maths Solution: 

$\begin{align}  & r\propto \frac{1}{\sqrt{st}} \\ & r=\frac{k}{\sqrt{st}}\text{   }(k=\text{ proportionality constant)} \\ & \text{Square both sides} \\ & {{r}^{2}}=\frac{{{k}^{2}}}{st} \\ & \text{multiply both sides by }s \\ & s{{r}^{2}}=\frac{{{k}^{2}}}{t} \\ & \text{Divide both sides by }{{r}^{2}} \\ & s=\frac{{{k}^{2}}}{{{r}^{2}}t}\text{ } \\ & \text{Let }{{k}^{2}}=A\text{ (where }A\text{ is a constant)} \\ & s=\frac{A}{{{r}^{2}}t} \\ & s\propto \frac{1}{{{r}^{2}}t} \\ & s\text{ varies inversely as the }{{r}^{2}}\text{ and }t \\\end{align}$

Jamb Maths Topic: 
Year of Exam: 

Comments

We all so much interested in having content to question different users. So, they can manage the college paper.org website updates new features. Then everyone will learn and get the important articles from this blog.