MCQ: Units and Measurement - Class 11 Class 11 Notes | EduRev

Class 11 : MCQ: Units and Measurement - Class 11 Class 11 Notes | EduRev

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A gas bubble from an explosion under water oscillateswith a period proportional to PadbEc where P is the staticpressure, d is the density of water and E is the energyof explosion. Then a,b and c are :
  • a)
  • b)
  • c)
  • d)
    1, 1, 1
Correct answer is option 'A'. Can you explain this answer?

Ref: https://edurev.in/question/487299/A-gas-bubble-from-an-explosion-under-water-oscilla

Given, time period is proportional to MCQ: Units and Measurement - Class 11 Class 11 Notes | EduRev
Equating both sides of above equation dimensionally, we get

MCQ: Units and Measurement - Class 11 Class 11 Notes | EduRev


Now, omparing the dimensions of M, L and T on both sides, we get

                   a + b + c = 0                      ....(1)

              - a - 3b + 2c = 0                      ....(2)

                      - 2a - 2c = 0                     ....(3)

Solving (1), (2) and (3), we get

              MCQ: Units and Measurement - Class 11 Class 11 Notes | EduRev
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