In the shown arrangement of the meter bridge AC corresponding to null deflection of galvanometer is x. What would be its value if the radius of the wire AB is doubled? 
Step 1: Resistance of wire: R ∝ (1)/(r²)
Step 2: Doubling radius makes resistance one–fourth.
Step 3: In meter bridge, balancing length is proportional to resistance: x=(x)/(4)
An object is projected with kinetic energy K from point A at an angle 60° with the horizontal. The ratio of the difference in kinetic energies at points B and C to that at point A (see figure), in the absence of air friction is : 
An infinitely long straight wire carrying current $I$ is bent in a planar shape as shown in the diagram. The radius of the circular part is $r$. The magnetic field at the centre $O$ of the circular loop is :
