Fluid Mechanics Viscosity Question 222

Question: With rise in temperature, density of a given body changes according to one of the following relations

Options:

A)$ \rho ={\rho_{0}}[1+\gamma ,d\theta ] $

B)$ \rho ={\rho_{0}}[1-\gamma ,d\theta ] $

C)$ \rho ={\rho_{0}}\gamma d\theta $

D)$ \rho ={\rho_{0}}/\gamma d\theta $

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Answer:

Correct Answer: B

Solution:

Since, with increase in temperature, volume of given body increases, while mass remains constant so that density will decrease. i.e. $ \frac{\rho }{{\rho_{0}}}=\frac{m/V}{m/V_{0}}=\frac{V_{0}}{V}=\frac{V_{0}}{V_{0}(1+r\Delta \theta )}=(1-\gamma \Delta \theta ) $ \ $ \rho ={\rho_{0}}(1-\gamma \Delta \theta ) $