Which of the following sets cannot enter into the list of fundamental quantities in any system of units?

1.	length, mass and velocity
2.	length, time and velocity
3.	mass, time and velocity
4.	length, time and mass

A physical quantity is measured and the result is expressed as \(nu\) where \(u\) is the unit used and \(n\) is the numerical value. If the result is expressed in various units then: 
1. \(n\propto \mathrm{size~of}~u\) 
2. \(n\propto u^2\) 
3. \(n\propto \sqrt u\) 
4. \(n\propto \frac{1}{u}\)

Suppose a quantity \(x\) can be dimensionally represented in terms of \(M,\) \(L\) and \(T\) that is \([x]\) =\(M^aL^bT^c.\) The quantity mass:

A dimensionless quantity,

A unitless quantity

1. never has a nonzero dimension

2. always has a nonzero dimension

3. may have a nonzero dimension

4. does not exist

\(\int \frac{\mathrm{dx}}{\sqrt{2 \mathrm{ax}-\mathrm{x}^{2}}}=\mathrm{a}^{\mathrm{n}} \sin ^{-1}\left[\frac{\mathrm{x}}{\mathrm{a}}-1\right]\)
The value of \(\mathrm{n}\) is:
1. \(0\)
2. \(-1\)
3. \(1\)
4. none of these

The dimensions of \(\left [ML^{-1} T^{-2} \right ]\) may correspond to:

Choose the correct option:

Choose the correct statement(s):

Choose the correct option:

Consider the following statements:

Choose the correct option:

The radius of a circle is stated as \(2.12\) cm. Its area should be written as: