The velocity of a particle depends upon as $v=a+bt+c{t}^2$; if the velocity is in $m/\sec$, the unit of a will be 

1. $m/\sec$

2. $m/{\sec }^2$

3. $m^2/\sec$

4. $m/{\sec }^3$

If the unit of length and force be increased four times, then the unit of energy is 

1. Increased 4 times

2. Increased 8 times

3. Increased 16 times

4. Decreased 16 times

The unit of specific resistance is 

1. Ohm / cm²

2. Ohm / cm

3. Ohm - cm

4. (Ohm - cm)^-1

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:

If $x=at+b{t}^2$, where x is the distance travelled by the body in kilometres while t is the time in seconds, then the units of b are

1. $km\text{}/\text{}s$

2. $km\text{}-\text{}s$

3. $km\text{}/\text{}{s}^2$

4. $km\text{}-\text{}{s}^2$

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. \(\text{dyne} / \text{cm}^2\)

Which is not a unit of electric field

1. $N{C}^{-1}$

2. $V{m}^{-1}$

3. $J{C}^{-1}$

4. $J{C}^{-1}{m}^{-1}$

Faraday is the unit of

1. Charge

2. emf

3. Mass

4. Energy

Unit of surface tension is

1. $N{m}^{-1}$

2. $N{m}^{-2}$

3. $N^2{m}^{-1}$

4. $N{m}^{-3}$

Dimensions of one or more pairs are same. Identify the pairs

1. Torque and work

2. Angular momentum and work

3. Energy and Young's modulus

4. Year and wavelength