Ask Questions, Get Answers
Menu
X
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 Test Series
CBSE XII
Math
JEEMAIN
Math
Physics
Chemistry
Practice Test Series
CBSE XI
Math
NEET
Physics
Chemistry
Biology - XII
Biology - XI
Olympiad class V
Math - 5 Test Series
Olympiad class VI
Math - 5 Test Series
studyplans
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 Test Series
CBSE XII
Math
JEEMAIN
Math
Physics
Chemistry
Practice Test Series
CBSE XI
Math
NEET
Physics
Chemistry
Biology - XII
Biology - XI
Olympiad class V
Math - 5 Test Series
Olympiad class VI
Math - 5 Test Series
mobile
exams
ask
sample papers
tutors
pricing
login
X
ASK
Home
>>
JEEMAIN and NEET
>>
Physics
>>
Class11
>>
Units and Measurement
Given that the pressure $p$ at a depth $h$ below the surface of a fluid of density $\rho$ is given by $p = \rho gh$, where $g$ is the acceleration due to gravity, which of the following represent the dimensions of pressure?
jeemain
physics
class11
units-and-measurement
ch2
dimensional-formulae-and-analysis
easy
Share
asked
Jul 11, 2014
by
balaji.thirumalai
Please
log in
or
register
to add a comment.
Please
log in
or
register
to answer this question.
1 Answer
$[p] = [\large\frac{\text{force}}{\text{area}}]$$=\large\frac{MLT^{-2}}{L^2} $$=ML^{-1}T^{-2}$
OR
$[\rho] = ML^{-3}$
$[g] = LT^{-2}$ (acceleration)
$[h] = L$
$\Rightarrow [p] = [\rho gh] = ML^{-3}LT^{-2} = ML^{-1}T^{-2}$
answered
Jul 11, 2014
by
balaji.thirumalai
Please
log in
or
register
to add a comment.
Related questions
A gas bubble from under water explosion oscillates with time period $T$ propotional to $P^xd^yE^z$ where $P$-pressure, $d$-density, $E$-energy, values of $x,y,z$ are
jeemain
physics
class11
ch2
units-and-measurement
q29
medium
dimensional-formulae-and-analysis
asked
Jun 18, 2013
by
meena.p
1
answer
Which of the following is a good predictor of a period $\text{t}$ of a swinging pendulum based on the factors such as Length (l), Angle ($\theta$), the mass (m) and acceleration due to gravity (g)?
jeemain
physics
class11
units-and-measurement
ch2
dimensional-formulae-and-analysis
medium
asked
Jul 11, 2014
by
balaji.thirumalai
1
answer
The equation of state of some gases can be expressed as $ \bigg(p+\large\frac{a}{v^2}\bigg)$$(v-b)=RT$ Here $p$ is pressure, $v$ is volume , $a,b,R$ are constants. The dimensions of $ 'a'$ are
jeemain
physics
class11
ch2
units-and-measurement
q1
easy
dimensional-formulae-and-analysis
asked
Jun 13, 2013
by
meena.p
1
answer
The velocity v of a particle at time t is given by $v=a+ bt+\large\frac{c}{t+d}$ where a, b, c and d are constants. The dimensions of a, b c and d are respectively
jeemain
physics
class11
units-and-measurement
ch2
dimensional-formulae-and-analysis
medium
asked
Jul 11, 2014
by
balaji.thirumalai
1
answer
The position $x$ of a particle at time $t$ is given by $x=\large\frac{v_0}{a} $$(1-e^{-at})$ where $v_0$ is constant and $a >0$ find the dimensions of $v_0$ and $a$
jeemain
physics
class11
ch2
units-and-measurement
q10
medium
dimensional-formulae-and-analysis
asked
Jun 17, 2013
by
meena.p
1
answer
The dimensions of $RC$, where $R$ is resistence and $C$ is capacitance are same as that of
jeemain
physics
class11
ch2
units-and-measurement
q24
easy
dimensional-formulae-and-analysis
asked
Jun 17, 2013
by
meena.p
1
answer
If pressure $P$, velocity $V$ and $T$ are taken as fundamental physical quantities the dimensional formula of force is
jeemain
physics
class11
ch2
units-and-measurement
q36
easy
dimensional-formulae-and-analysis
asked
Jun 18, 2013
by
meena.p
1
answer
Ask Question
Tag:
Math
Phy
Chem
Bio
Other
SUBMIT QUESTION
►
Please Wait
Take Test
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 Test Series
JEEMAIN
350+ TESTS
NEET
320+ TESTS
CBSE XI MATH
50+ TESTS
CBSE XII MATH
80+ TESTS
...
X