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

The frequency of vibration f of a mass m suspended from a spring of spring constant K is given by a relation of this type $f=C{m}^x{K}^y$; where C is a dimensionless quantity. The value of x and y are 

1. $x=\frac{1}{2},y=\frac{1}{2}$

2. $x=-\frac{1}{2},y=-\frac{1}{2}$

3. $x=\frac{1}{2},y=-\frac{1}{2}$

4. $x=-\frac{1}{2},y=\frac{1}{2}$