If the Bernoulli's equation may be written as P + 1/2 p v^2 + hpg = k (constant) where P is pressure, p is density, v is velocity and h is height, find out unit and dimensional formula for k/pv^2.

Question

Ramesh V · Answer

the constant k(total head) has dimensions of pressure head i.e., N/m 2 with dim. formula ML -1 T -2 so unit and dimensional formula for k/pv^2 is Dimensionless(no units) and formula is M 0 L 0 T 0

AskIITianExpert Srijan.iitd · Answer

pv^2 is having the same dimention as the constant k because we kno that for two physical terms to be summable they should have same dimentions,hence all terms on left hand side have same dimentions.Also dimention of left hand side of any physical equation must have same dimention as the right hand side ,hence constant k have same dimentions as the terms "P", P v^2 and hpg.

hence the term k/pv^2 is dimentionless!!!=> M^0L^0T^0.

AskiitianExpert Shine · Answer

Hi

For the statement to be dimensionally correct, every term should have the same units. This means P, (pv^2)/2 , hpg and k should all have same units.
Hence, the term k/(pv^2) should be dimensionless.

LISA · Answer

K=p+hpg+1/2pv² [K]=[p]+[h][p][g]+1/2[p][v]² [K]=[ML -1 T -2 +[M°L¹T°][M¹L -3 T°][M°L²T -2 ]+ [ML -3 T°][M°L¹T -1 ] [K]=[M¹L -1 T -2]

Thank you for registering.

Register Now and Win Upto 25% Scholorship for a Full Academic Year !

Enter Your Details

Registration done!

Guest

If the Bernoulli's equation may be written as P + 1/2 p v^2 + hpg = k (constant) where P is pressure, p is density, v is velocity and h is height, find out unit and dimensional formula for k/pv^2.

If the Bernoulli's equation may be written as P + 1/2 p v^2 + hpg = k (constant) where P is pressure, p is density, v is velocity and h is height, find out unit and dimensional formula for k/pv^2.

4 Answers

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

Other Related Questions on General Physics

ASK QUESTION

Answer and earn gift vouchers

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Complete Self Study Package designed by Industry Leading Experts

Live 1-1 coding classes to unleash the Creator in your Child

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Register Now & Win Upto 25% Scholorship

Thank you for registering.

Register Now and Win Upto 25% Scholorship for a Full Academic Year !

Enter Your Details

Registration done!

Guest

IIT JEE Courses

One Year IIT Programme

Two Year IIT Programme

Crash Course

NEET Courses

One Year NEET Programme

Two Year NEET Programme

One to One

School Board

Live Online classes

Class 11 & 12

Class 9 & 10

Class 6, 7 & 8

Test Series

JEE test series

NEET test series

C.B.S.E test series

Complete Self Study Packages

FULL COURSE

For class 12th

For class 11th

If the Bernoulli's equation may be written as P + 1/2 p v^2 + hpg = k (constant) where P is pressure, p is density, v is velocity and h is height, find out unit and dimensional formula for k/pv^2.

If the Bernoulli's equation may be written as P + 1/2 p v^2 + hpg = k (constant) where P is pressure, p is density, v is velocity and h is height, find out unit and dimensional formula for k/pv^2.

4 Answers

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

Other Related Questions on General Physics

ASK QUESTION

Answer and earn gift vouchers

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Complete Self Study Package designed by Industry Leading Experts

Live 1-1 coding classes to unleash the Creator in your Child

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Register Now & Win Upto 25% Scholorship