Question

The air bubble formed by explosion inside water perform oscillations with time period X is connected from X=ab2C. Calculate the percentage error in X, when % error in a, b, c are 4, 2, and 3 respectively.

Answer 1

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

Answer 2

hy mate here is your anshwer=>>

✴✴✴✴✴✴✴✴✴✴❄❄❄❄❄❄❄❄❄

x=ab2c

give him

a=>4

b=>2

c=>3

keep the value on formula

x=>(4)(2)(2)(3)

x=>48✔

i hope it help you☺❄