Question 4 :
The value of $$\dfrac{\pi}{ 53.2}$$ with due regard to significant figures is (Use $$\pi=3.14$$) :

Question 5 :
When a current of $$(2.5 0\pm 0.5)A$$ flows through a wire, it develops a potential difference of $$(20\pm 1)V$$. The resistance of the wire is :

Question 6 :
If force, acceleration and time are taken as fundamental quantities, then the dimensions of length will be

Question 7 :
When a force is expressed in dyne, the number of significant figures is four. If it is expressed in newton, the number of significant figures will become:(Given: $${ 10 }^{ 5 }\ dyne=1\ N$$)

Question 9 :
If&#160;$$\mu $$&#160;is the permeability and&#160;$$\epsilon $$ is the&#160;permittivity then&#160;$$\dfrac { 1 }{ \sqrt { \mu \epsilon &#160;} &#160;} $$&#160;<b></b>is equal to&#160;

Question 10 :
Let $$Q$$ denote the charge on the plate of a capacitor of capacitance $$C$$. The dimensional formula for $$\dfrac {Q^2}{C}$$ is

Question 11 :
Subtract $$3.2 \times 10^{-6}$$ from $$4.7 \times 10^{-4}$$ with due regard to significant figures.

Question 12 :
Length, breadth and thickness of a rectangular slab are 4.234 m, 1.005 m and 2.01 m respectively. Find volume of the slab to correct significant figures.<br/>

Question 13 :
If energy ($$E$$), velocity ($$V$$) and time ($$T$$) are chosen as the fundamental quantities, the dimensional formula of surface tension will be

Question 14 :
The method of dimensional analysis can be used to derive which of the following relations ?

Question 16 :
The Van der Waal's equation of $$'n'$$ moles of a real gas is<br/>$$\displaystyle \left( P+\frac { a }{ { V }^{ 2 } } &#160;\right) \left( V-b \right) =nRT$$<br/>Where $$P$$ is pressure, $$V$$ is volume, $$T$$ is absolute temperature, $$R$$ is molar gas constant and $$a, b, c$$ are Van der Waal constants. The dimensional formula for $$ab$$ is:

Question 18 :
Two equal masses each $$'m'$$ are hung from a balance whose scale pans differe in vertical height by $$'h'$$. the error in weighing is

Question 19 :
A public park, in the form of a square, has an area of $$(100 \pm 0.2 )m^2 $$ .The side of park is :

Question 20 :
Stoke's law states that the viscous drag force $$F$$ experience by a sphere of radius a, moving with a speed v through a fluid with coefficient of viscosity $$\eta$$, is given by $$F = 6\pi \eta av$$<br>If this fluid is flowing through a cylindrical pipe of radius $$r$$, length $$l$$ and a pressure difference of $$P$$ across its two ends, then the volume of water $$V$$ which flows through the pipe in time $$t$$ can be written as<br>$$\dfrac {v}{t} = k\left (\dfrac {p}{l}\right )^{a}\eta^{b}r^{c}$$<br>Where $$k$$ is a dimensionless constant. Correct values of $$a, b$$ and $$c$$ are.<br>