What is the dimensional formula for pressure?

Practice Questions

Q1
What is the dimensional formula for pressure?
  1. M¹L⁻¹T⁻²
  2. M¹L²T⁻²
  3. M⁰L⁰T⁰
  4. M¹L⁰T⁻²

Questions & Step-by-Step Solutions

What is the dimensional formula for pressure?
  • Step 1: Understand that pressure is defined as force divided by area.
  • Step 2: Write the formula for pressure: Pressure = Force / Area.
  • Step 3: Find the dimensional formula for force. Force is mass times acceleration, which is M (mass) times L (length) divided by T (time) squared. So, the dimensional formula for force is M¹L¹T⁻².
  • Step 4: Find the dimensional formula for area. Area is length times length, which is L².
  • Step 5: Substitute the dimensional formulas into the pressure formula: Pressure = (M¹L¹T⁻²) / (L²).
  • Step 6: Simplify the expression: M¹L¹T⁻² / L² = M¹L¹⁻²T⁻².
  • Step 7: Write the final dimensional formula for pressure: M¹L⁻¹T⁻².
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