Physics

# The fundamental unit which has the same power in the dimension formula of surface tension and viscosity is

mass

##### SOLUTION

$F=\mu A\dfrac { u }{ y } \\ \Longrightarrow \mu =\dfrac { Fy }{ uA }$

$F =$ Force
Dimensions are $[MLT^{-2}]$
$u=$ Speed
Dimensions are $[LT^{-1}]$
$y=$ Distance
Dimensions are $[L]$
$\mu =$ coefficient of viscosity
$A =$ area of the cross section.
Dimensions are $[L^2]$

Dimensions for coefficient of viscosity will be $\dfrac { [{ MLT }^{ -2 }]*[L] }{ { [LT }^{ -1 }]*[{ L }^{ 2 }] } =[M{ L }^{ -1 }{ T }^{ -1 }]$

Tension is a force used in a different context.
Dimensions are $[MLT^{-2}]$

Only mass has same power in both viscosity and tension.

You're just one step away

Single Correct Medium Published on 18th 08, 2020
Questions 244531
Subjects 8
Chapters 125
Enrolled Students 199

#### Realted Questions

Q1 Single Correct Medium
The value of 3.00 km in yards upto correct significant figures and the scientific notation is, (1m=1.094 yards)
• A. $3.282$
• B. $3.28\times { 10 }^{ 2 }$
• C. $3.28\times { 10 }^{ 3 }$
• D. none of these

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q2 Subjective Medium
Is energy a vector quantity ?

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q3 Single Correct Medium
Mass of a substance measured by the student is $1.56,1.60,1.62,1.52 , \mathrm { gm }$.The average absolute error in the measurement is
• A. $0.03 \mathrm { gm }$
• B. $0.02 \mathrm { gm }$
• C. $0.89 \mathrm { gm }$
• D. $0.2 \mathrm { gm }$

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q4 Single Correct Medium
The Van der Waal's equation of state for some gases can be expressed as:
$(P + \dfrac{a}{V^2})(V - b) = RT$
where P is the pressure, V is the molar volume, and T is the absolute temperature of the given sample of gas and a,b and R are constants.
Which of the following does not have the same dimensional formula as that for RT?
• A. PV
• B. Pb
• C. $\dfrac{a}{V^2}$
• D. $\dfrac{ab}{V^2}$

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q5 Subjective Medium
A given quantity has both magnitude and direction. Is it necessarily be a vector? Justify.

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020