The dimensional formula of pressure is:
1. \(\left[MLT^{-2}\right]\)
2. \(\left[ML^{-1}T^{2}\right]\)
3. \(\left[ML^{-1}T^{-2}\right]\)
4. \(\left[MLT^{2}\right]\)
The measurements are made as 18.425 cm, 7.21 cm, and 5.0 cm. The addition of these measurements should be written as:
1. 30.635 cm
2. 30.64 cm
3. 30.63 cm
4. 30.6 cm
A light-year is a unit of:
1. Time
2. Mass
3. Distance
4. Energy
In \(S= a+bt+ct^2,~S\) is measured in metres and \(t\) in seconds. The unit of \(c\) will be:
1. | none | 2. | \(\text{m}\) |
3. | \(\text{ms}^{-1}\) | 4. | \(\text{ms}^{-2}\) |
Temperature can be expressed as a derived quantity in terms of any of the following:
1. | length and mass | 2. | mass and time |
3. | length, mass, and time | 4. | none of the above |
If \(u_1\) and \(u_2\) are the units selected in two systems of measurement and \(n_1\) and \(n_2\) are their numerical values, then:
1. | \(n_1u_1=n_2u_2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \) |
2. | \(n_1u_1+n_2u_2=0\) |
3. | \(n_1n_2=u_1u_2\) |
4. | \((n_1+u_1)=(n_2+u_2)\) |
Given the equation \(\left(P+\frac{a}{V^2}\right)(V-b)=\text {constant}\). The units of \(a\) will be: (where \(P\) is pressure and \(V\) is volume)
1. \(\text{dyne} \times \text{cm}^5\)
2. \(\text{dyne} \times \text{cm}^4\)
3. \(\text{dyne} / \text{cm}^3\)
4. \(\text{dyne} / \text{cm}^2\)
The dimensions of a couple are:
1. \(\left[ML^2T^{-2}\right]\)
2. \(\left[MLT^{-2}\right]\)
3. \(\left[ML^{-1}T^{-3}\right]\)
4. \(\left[ML^{-2}T^{-2}\right]\)
The dimensional formula for impulse is:
1. \([MLT^{-2}]\)
2. \([MLT^{-1}]\)
3. \([ML^2T^{-1}]\)
4. \([M^2LT^{-1}]\)
The dimensions of resistivity in terms of \(M\), \(L\), \(T\), and \(Q\) where \(Q\) stands for the dimensions of charge, will be:
1. \(\left[M L^3 T^{-1} Q^{-2}\right]\)
2. \(\left[M L^3 T^{-2} Q^{-1}\right]\)
3. \(\left[M L^2 T^{-1} Q^{-1}\right]\)
4. \(\left[M L T^{-1} Q^{-1}\right]\)