LIVE Course for free

Rated by 1 million+ students
Get app now
0 votes
17 views
in Physics by (54.3k points)
closed by
The dimensions of shear stress is the same as ______.
1. Volume
2. Pressure
3. Force
4. Dimensionless

1 Answer

0 votes
by (30.0k points)
selected by
 
Best answer
Correct Answer - Option 2 : Pressure

CONCEPT:

  • Shear stress: Force F|| applied along the object's parallel surface divided by the cross-section area A of the surface on which the parallel force is acting.
    \(\rm Shear~Stress = {F_{||} \over A}\)
  • The dimension of shear stress is:
    \(\rm [Shear~stress] = {[F]\over [A]}={[MLT^{-2}]\over [L^2]}=[ML^{-1}T^{-2}]\)


EXPLANATION:

  • Option 1: Dimension of volume is [L3].
  • Option 2: Dimension of Pressure (Force per unit area) is
    \(\rm Pressure = {F \over A}\)
    \(\rm [Pressure] = {[F]\over [A]}={[MLT^{-2}]\over [L^2]}=[ML^{-1}T^{-2}]\)

 

The dimensions of pressure are the same as the dimension of shear stress.

  • Option 3: Dimension of force is [MLT-2]
  • So the correct answer is option 2.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...