Question 1 :
If specific resistance of a wire is ρ, its volume is 3m³ and its resistance is 3 omhs, then its length will be

Question 2 :
A charge +<em>q</em> is fixed at each of the points <em>x</em> = <em>x</em>₀, <em>x</em> = 3<em>x</em>₀, <em>x</em> = 5<em>x</em>₀ ….. <font face="Symbol">&infin;</font> on the <em>x</em>-axis and a charge –<em>q</em> is fixed at each of the points <em>x</em> = 2<em>x</em>₀, <em>x</em> = 4<em>x</em>₀, <em>x</em> = 6<em>x</em>₀ …… <font face="Symbol">&infin;</font>. Here, <em>x</em>₀ is a positive constant. Take the electric potential at a point due to charge <em>Q</em> at a distance <em>r</em> from it to be <em>Q</em>/4πε₀<em>r</em>. Then the potential at the origin due to the above system of charges is

Question 3 :
The electric potential at a point (<em>x</em>, <em>y</em>) is given by: <em>V</em> = –<em>Kxy</em>. The electric field intensity at a distance <em>r</em> from the origin varies as

Question 4 :
There are two charges +1 <font face="Symbol">&micro;</font>C and +5 <font face="Symbol">&micro;</font>C. The ratio of the forces acting on them will be

Question 5 :
A particle <em>A</em> has charge +<em>q</em> and a particle <em>B</em> has charge +4<em>q</em> with each of them having the same mass <em>m</em>. When allowed to fall from rest through the same electric potential difference, the ratio of their speed {tex}\frac{v_{A}}{v_{B}}{/tex} will become