CBSE Class 12-science Answered
Pressure
Asked by | 23 Apr, 2010, 09:23: PM
Expert Answer
Please refer to the dimensional analysis for the solution.
The oscillations can be measured by frequency of oscillation.
T PaρbEc where, symbols have their usual meaning.
Writing in terms of dimensions,
[T] = [ML-1T-2]a[ML-3]b[ML2T-2]c
Comparing the exponents of M:
0 = a+b+c ... (1)
Comparing exponents of T:
1 = -2a-2c
a+c = -1/2 .... (2)
Comparing exponents of L:
0 = -a-3b+2c ... (3)
Using (2) in (1) gives,
b = 1/2,
Hence (3) becomes,
a - 2c = -3/2 .........(4)
Solving (2) and (4), we find,
c = 1/3 and a = -5/6.
Hence,
T = Cρ1/2E1/3/P5/6
where C is a constant.
Regards,
Team,
TopperLearning.
Answered by | 23 Apr, 2010, 09:44: PM
Concept Videos
CBSE 12-science - Physics
Asked by mailtoanjalip2005 | 16 Mar, 2024, 08:22: PM
ANSWERED BY EXPERT
CBSE 12-science - Physics
Asked by divyanshsahu109 | 11 Mar, 2024, 05:57: PM
ANSWERED BY EXPERT
CBSE 12-science - Physics
Asked by am1954077 | 08 Mar, 2024, 04:57: PM
ANSWERED BY EXPERT
CBSE 12-science - Physics
Asked by himanshurawat5823 | 08 Mar, 2024, 01:24: PM
ANSWERED BY EXPERT
CBSE 12-science - Physics
Asked by rohandhawaniya17112006 | 06 Mar, 2024, 03:32: PM
ANSWERED BY EXPERT
CBSE 12-science - Physics
Asked by shivamtkr7767 | 03 Mar, 2024, 12:45: PM
ANSWERED BY EXPERT
CBSE 12-science - Physics
Asked by sahupranav2006 | 02 Mar, 2024, 03:37: PM
ANSWERED BY EXPERT
CBSE 12-science - Physics
Asked by rishabhverma895334 | 01 Mar, 2024, 07:24: AM
ANSWERED BY EXPERT
CBSE 12-science - Physics
Asked by writetoakashyadav | 28 Feb, 2024, 07:41: PM
ANSWERED BY EXPERT
CBSE 12-science - Physics
Asked by nikstar1456 | 14 Feb, 2024, 01:09: PM
ANSWERED BY EXPERT