Question

Wavelength varies inversely with frequency. Let k be the product of wavelength and frequency. Complete the table using the inverse variation relationship.
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Answer 1

Answer:

..

Step-by-step explanation:

a =  

⇒ 670

b =  

⇒ 301600

c =  

⇒ 560

Answer 2

Answer:

As the question is incomplete and generic so, I have explained it generally. The inverse variation relationship summarizes as “if λ (wavelength) increases then f (frequency) will decrease and the product of the two will always remain constant k.

Step-by-step explanation:

As we have not given any particular values to complete the table using inverse variation relationship. So, I will explain it generally and will take my own values to make you understand the key concept of inverse variation relationship.

General Equation:

k = xy or y = k (1/x) or x = k (1/y)

Where, x and y are inversely proportional to each other. It means if x increases y must have to decrease or if y increases x must have to decrease in order to keep the k constant.

Let’s assume,  

x = wavelength = λ

y = frequency = f

k = product of wavelength and frequency = constant.

So,

New equation:

k = λf or f = k (1/ λ) or λ = k (1/f)

Similarly, this equation tells us that wavelength and frequency varies inversely or they are in inverse variation relationship or they are indirectly proportional to each other.  

If wavelength (λ) increases frequency (f ) must have to decrease in order to keep the product (k) constant.  

Likewise,

If frequency (f) increases then wavelength (λ) must have to decrease in order the keep the product (k) constant.  

So, till now we have understood the concept of inverse variation relationship, right? Let’s move on towards completion of the table mentioned in the question.  

Let’s assume 5 different values of wavelength and frequency such that their product remains constant. Please see the attachment below for the table.  

 

Here in the attachment , you can clearly see that the (λ) wavelength is increasing and frequency (f) is decreasing in such a way to keep their product constant which is k = 384.  

Note: As question was incomplete, I have explained this question in general terms and have taken my own values to complete the table.  Thank you!

Hope, this help 