Home
Class 12
PHYSICS
Unit of "Pascal " is the same as...

Unit of "Pascal " is the same as

A

`10^6 "dyne/cm"^2`

B

1 poundal/`"inch"^2`

C

`"1 newton/metre"^2`

D

`1 "dyne/cm"^2`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, "Unit of 'Pascal' is the same as what?", we can follow these steps: ### Step 1: Understand the Definition of Pascal 1 Pascal (Pa) is defined as one Newton (N) of force applied over an area of one square meter (m²). Therefore, we can start by writing the relationship: \[ 1 \text{ Pascal} = 1 \text{ Newton/m}^2 \] ### Step 2: Convert Newtons to Dynes We know that 1 Newton is equal to \( 10^5 \) dynes. This conversion is based on the relationship between the SI unit (Newton) and the CGS unit (dyne): \[ 1 \text{ N} = 10^5 \text{ dyn} \] ### Step 3: Convert Square Meters to Square Centimeters Next, we need to convert square meters to square centimeters. We know that: \[ 1 \text{ m}^2 = 10^4 \text{ cm}^2 \] ### Step 4: Substitute the Values Now we can substitute these conversions into our initial equation for Pascal: \[ 1 \text{ Pascal} = \frac{10^5 \text{ dyn}}{10^4 \text{ cm}^2} \] ### Step 5: Simplify the Expression By simplifying the expression, we get: \[ 1 \text{ Pascal} = 10 \text{ dyn/cm}^2 \] ### Conclusion Thus, the unit of Pascal is the same as \( 10 \text{ dyn/cm}^2 \). ### Final Answer The correct answer is \( 10 \text{ dyn/cm}^2 \). ---
Promotional Banner

Similar Questions

Explore conceptually related problems

The unit of impulse is the same as that of

Pascal is the S.I. unit of

Given that Y = a sin omegat + bt + ct^(2) cos omegat . The unit of abc is same as that of

Relative density of a substance remains the same in both Sl and CGS units.

If force (F) is given by F = Pt^(-1) + alpha t, where t is time. The unit of P is same as that of

What is the order of the reaction whose rate constant has the same unit as the rate of reaction ?

One pascal is the pressure generated by:

The unit of "impulse per unit area" is same as that of

Which does not has the same unit as others

The ratio of the volume of a tetragonal lattice unit cell to that of a hexagonal lattice unit cell is (both having same respective lengths)