A constantan wire, X, has a length of 4.0 m and a diameter of 2.0 mm.
A second constantan wire, Y, has a length of 2.0 m and a diameter of 1.0 mm.
Which statement correctly compares the resistance of Y with that of X?
The resistance of Y is one-half the resistance of X.
The resistance of Y is the same as the resistance of X.
The resistance of Y is twice the resistance of X.
The resistance of Y is four times the resistance of X.
452 exam-style questions on CIE IGCSE Physics 4.2 Electrical quantities, covering 4.2.1a Positive and negative charge, 4.2.1b Charging by friction and detecting charge, 4.2.1c Electrical conductors and insulators, 4.2.1d Electric fields and electric field patterns, 4.2.2a Electric current, charge and measuring current, 4.2.2b Conduction in metals and the direction of current, 4.2.2c Direct current and alternating current, 4.2.3a Electromotive force, 4.2.3b Potential difference and voltmeters, 4.2.4a Resistance, 4.2.4b Resistance of a metallic wire, 4.2.4c Current–voltage graphs, and 4.2.5 Electrical energy and electrical power. Each one has a worked solution and a mark scheme showing where the marks go.