SSC (English Medium) Class 8Maharashtra State Board
Share
Notifications

View all notifications

Find Constant of Variation and Write Equation of Variation for Every Example Given Below. S ∝ 1 T 2 ; If S = 4 Then T = 5 - SSC (English Medium) Class 8 - Mathematics

Login
Create free account


      Forgot password?

Question

Find constant of variation and write equation of variation for every example given below.

s ∝ \[\frac{1}{t^2}\] ; if s = 4 then t = 5

Solution

\[s \propto \frac{1}{t^2}\]

\[\therefore   s = \frac{k}{t^2}\],where k is constant of variation

When s = 4, t = 5.

\[\therefore   4 = \frac{k}{5^2}\] 

\[   \Rightarrow 4 = \frac{k}{25}\] 

\[ \Rightarrow k = 25 \times 4 = 100\]

So, the equation of variation is \[s = \frac{100}{t^2}\] or st2 = 100.

  Is there an error in this question or solution?

APPEARS IN

 Balbharati Solution for Balbharati Class 8 Mathematics (2019 to Current)
Chapter 7: Variation
Practice Set 7.2 | Q: 2.3 | Page no. 38
Solution Find Constant of Variation and Write Equation of Variation for Every Example Given Below. S ∝ 1 T 2 ; If S = 4 Then T = 5 Concept: Inverse Variation.
S
View in app×