Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
828 views
in Physics by (115k points)
closed by
The dimensions of a/b in the relation \(P = \frac{a+x}{b}\) where P is pressure and x is distance are:
1. [M1L-1T-2]
2. [M-1L1T2]
3. [M1L2T-1]
4. [M-1L-2T1]

1 Answer

0 votes
by (113k points)
selected by
 
Best answer
Correct Answer - Option 1 : [M1L-1T-2]

Concept:

  • Dimensional Formula: The dimensions of a physical quantity represent its nature. 
  • The dimension of Fundamental Quantities is known and the dimensional formula for other quantities is derived from fundamental units.
  • Example:
    • Finding Dimension of Density:
  1. The expression for density is Mass / Volume
  2. Mass is a fundamental unit with dimension M,
  3. Volume is a cube of length. So, Dimensional Formula for Length L3
  4. The dimension of density will be M / L3 = ML-3

For an equation to be dimensionally correct, the dimension of the equation in the left-hand side, and right-hand side should be equal.

Explanation:

Given, \(P = \frac{a+x}{b}\)

Left Hand Side is Pressure 

Dimension of Pressure = [M1L-1T-2]

This should be the dimension of \( \frac{a+x}{b}\)

a + x is added, so dimension of both must be same

Dimension of \( \frac{a+x}{b}\) = Dimension of \( \frac{a}{b}\)

But Dimension of \( \frac{a+x}{b}\) = Dimesnion of pressure = [M1L-1T-2]

So, dimension of a/b is [M1L-1T-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

...