Which of the following will be the dimensions of ab in the relation P - a - t 2 bx- where P is the pressure- X is the distance and t is the time-A- M-1L0T-2B- ML0T-2C- ML0T2D- MLT-2

The correct option is B ML0T 2P=FA=MLT 2L2=ML 1T 2b=t2Px=T2ML 1T 2L=M 1T4a=Pbx=T2ab=M1L0T 2 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Applying NLM along 3 Axis

Which of the ...

Question

Which of the following will be the dimensions of $\frac{a}{b}$ in the relation
$P = \frac{a - t^{2}}{b x}$ , where $P$ is the pressure, $x$ is the distance and $t$ is the time?

M^{- 1} L^{0} T^{- 2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

M L^{0} T^{- 2}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

M L^{0} T^{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

M L T^{- 2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $M L^{0} T^{- 2}$
$P = \frac{F}{A} = \frac{M L T^{- 2}}{L^{2}} = M L^{- 1} T^{- 2} b = \frac{t^{2}}{P x} = \frac{T^{2}}{M L^{- 1} T^{- 2} L} = M^{- 1} T^{4} a = P b x = T^{2} \frac{a}{b} = M^{1} L^{0} T^{- 2}$

Suggest Corrections

Similar questions

Q. Write the dimensions of

a / b

in the relation

P = \frac{a - t^{2}}{b x}

; where

P

is the pressure,

x

is the distance, and

t

is the time.

Q. What are the dimensions of

a

and

b

in the relation

F = a \sqrt{x} + b t^{2}

where

F

is force,

x

is distance and

t

is time?

Q. Which of the following physical quantities represent the dimensions of

\frac{b}{a}

in the relation

P = \frac{x^{2} - b}{a t}

, where

P

is power,

x

is distance and

t

is time.

Find the dimensions of a/b in the equation:

P= (a-t²)/bx

Where

P is pressure, x is distance and t is time.

Q. The dimensions of

\frac{a}{b}

in the equation

p = \frac{a - t^{2}}{b x}

, where p is pressure, x is distance and t is time, are

Join BYJU'S Learning Program

Which of the following will be the dimensions of ab in the relation P=a−t2bx , where P is the pressure, x is the distance and t is the time?

The correct option is B ML0T−2P=FA=MLT−2L2=ML−1T−2b=t2Px=T2ML−1T−2L=M−1T4a=Pbx=T2ab=M1L0T−2

Which of the following will be the dimensions of $\frac{a}{b}$ in the relation
$P = \frac{a - t^{2}}{b x}$ , where $P$ is the pressure, $x$ is the distance and $t$ is the time?

The correct option is B $M L^{0} T^{- 2}$
$P = \frac{F}{A} = \frac{M L T^{- 2}}{L^{2}} = M L^{- 1} T^{- 2} b = \frac{t^{2}}{P x} = \frac{T^{2}}{M L^{- 1} T^{- 2} L} = M^{- 1} T^{4} a = P b x = T^{2} \frac{a}{b} = M^{1} L^{0} T^{- 2}$