Physics

# The velocity $v$ of sound can be assumed as dependent on density of medium and modulus of elasticity of medium ,so which of the following can be considered as correct formula for calculating velocity of sound,($\rho$=density,$E$=modulus of elasticity)

$v = \rho^{-0.5} \times E^{0.5}$

##### SOLUTION
Dimension of velocity $v= [LT^{-1}]$
Dimension of density $\rho=[ML^{-3}]$
Dimension of modulus of Elasticity i.e (stress/strain)   $E=[ML^{-1}T^{-2}]$
$\frac{E}{\rho}=\frac{[ML^{-1}T^{-2}]}{[ML^{-3}]}=[L^2T^{-2}]=v^2$
Therefore option C is correct.

You're just one step away

Single Correct Medium Published on 18th 08, 2020
Questions 244531
Subjects 8
Chapters 125
Enrolled Students 197

#### Realted Questions

Q1 Single Correct Hard
Calculate focal length of a spherical mirror from the following observations.
Object distance, u=(50.1±0.5)u=(50.1±0.5) cm
Image distance, v=(20.1±0.2) cm
• A. $\displaystyle \left ( 14.3\pm 0.4\right )$ cm
• B. $\displaystyle \left ( 14.3\pm 0.2\right )$ cm
• C. $\displaystyle \left ( 12.3\pm 0.4\right )$ cm
• D. $\displaystyle \left ( 12.3\pm 0.2\right )$ cm

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q2 Single Correct Medium
Which of the following figure shows the correct placement of a block along a scale for measuring its length?
• A. • B. • C. • D. Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q3 Subjective Medium
Find the approximate area of an irregular lamina of which boundary line is drawn on the graph paper shown in fig 1.16.

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q4 Subjective Medium
Which row shows a quantity and an incorrect unit?
 quantity unit A. efficiency no unit B. moment of force $Nm^{-1}$ C. momentum Ns D. work done J

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q5 Single Correct Medium
How many order of magnitude are there in one million?
• A. 5
• B. 4
• C. 6
• D. None of above

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020