SATHEE: Physics And Measurement Question 151

Physics And Measurement Question 151

Question: Frequency is the function of density $(ρ)$ , length $(a)$ and surface tension $(T)$ . Then its value is?

[BHU 2003]

Options:

A) $k ρ^{1 / 2} a^{3 / 2} / \sqrt{T}$

B) $k ρ^{3 / 2} a^{3 / 2} / \sqrt{T}$

C) $k ρ^{1 / 2} a^{3 / 2} / T^{3 / 4}$

D) $k ρ^{1 / 2} a^{1 / 2} / T^{3 / 2}$

Show Answer

Answer:

Correct Answer: A

Solution:

Let $n = k ρ^{a} a^{b} T^{c}$

where $[ρ] = [M L^{- 3}], [a] = [L]$

and $[T] = [M T^{- 2}]$

Comparing both sides, we get $a = \frac{1}{2}, b = \frac{3}{2}$

and $c = \frac{- 1}{2}$

$η = \frac{k ρ^{1 / 2} a^{3 / 2}}{\sqrt{T}}$

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Physics And Measurement Question 151

Question: Frequency is the function of density (ρ) , length (a) and surface tension (T) . Then its value is?

Options:

Answer:

Solution:

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Question: Frequency is the function of density $(ρ)$ , length $(a)$ and surface tension $(T)$ . Then its value is?