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The answer to each of the questions is a single digit integer ranging from 0 to 9.
A gas bubble from an explosion under water oscillates with a time t, which is directly proportional to PadbEc where P is the pressure, d is the density and E is the energy of explosion. Find the value of (a+b)/c.
3
We have t = kPadbEc;
\ [t] = [P]a[d]b[E]c
Þ M0L0T1 = [MaL–aT–2a][MbL–3b][McL2cT–2c]
= Ma+b+cL–a–3b+2cT–2a–3b–2c;
\ a+b+c = 0; –a–2b+2c = 0 & –2a–3b–2c = 1, On solving the above
We get, a = 4/3, b = –1, c = –1/3
\
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