F -1- d 2If at f -16- d -4- then find the constant of variation-A- 1B- 4C- 64D- 256

The correct option is D 256Given, f ∝ 1/d^2 nbsp; Let the nbsp;constant of variation be k. ⇒ f = k/d^2 Given, at f = 16, d = 4. So, k = fd^2 = 16× 4^2=16× ...

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Standard VIII

Mathematics

Variation

f ∝1/ d 2If a...

Question

$f \propto \frac{1}{d^{2}}$
If at f = 16, d = 4, then find the constant of variation.

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256

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Solution

The correct option is D 256
$Given, f \propto \frac{1}{d^{2}}$
Let the constant of variation be k.
$\Rightarrow f = \frac{k}{d^{2}}$
Given, at f = 16, d = 4.
So, $k = f d^{2} = 16 \times 4^{2} = 16 \times 16 = 256$

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f∝ 1d2 If at f = 16, d = 4, then find the constant of variation.

The correct option is D 256Given, f∝ 1d2 Let the constant of variation be k. ⇒f=kd2 Given, at f = 16, d = 4. So, k=fd2=16×42=16×16=256

$f \propto \frac{1}{d^{2}}$
If at f = 16, d = 4, then find the constant of variation.

The correct option is D 256
$Given, f \propto \frac{1}{d^{2}}$
Let the constant of variation be k.
$\Rightarrow f = \frac{k}{d^{2}}$
Given, at f = 16, d = 4.
So, $k = f d^{2} = 16 \times 4^{2} = 16 \times 16 = 256$