1800-212-7858 (Toll Free)
9:00am - 8:00pm IST all days
8104911739

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

022-62211530

Mon to Sat - 11 AM to 8 PM

# The air bubble formed by explosion under water perform oscillation with time t which depends upon

Asked by prashant.jain 22nd April 2010, 6:40 AM

The oscillations can be measured by frequency of oscillation, f.

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 Expert 22nd April 2010, 10:39 AM
• 1
• 2
• 3
• 4
• 5
• 6
• 7
• 8
• 9
• 10

You have rated this answer /10