Final answer:
Voltmeters with unequal resistances, when connected in series, do not correctly measure terminal voltage due to voltage division across their resistances, which is not a standard measurement procedure. Each voltmeter should be used in parallel individually for accurate readings.
Step-by-step explanation:
Comparing Voltmeter Readings in a Series Connection
When comparing the readings of two voltmeters with unequal resistance connected in series to a battery, it should be noted that voltmeters are ideally connected in parallel to the component whose voltage is being measured, not in series. Assuming the question involves a theoretical scenario where voltmeters are connected in series for comparison, they would not read the true voltage across the battery. In a parallel connection, a voltmeter with a high resistance ensures that it does not impact the circuit's total resistance significantly, while a voltmeter with comparable resistance to the circuit can affect the measured voltage due to the altered circuit resistance.
However, in the case where the voltmeters are connected in series, the one with the higher resistance would have a larger voltage drop across it than the voltmeter with lower resistance, due to the voltage division rule in series circuits. Nevertheless, neither would measure the terminal voltage correctly because they would each include the other's resistance in their readings, which is not the standard procedure for measuring voltage.
To measure accurate terminal or component voltages, each voltmeter should be used individually, in parallel with the component, without the influence of another voltmeter's resistance in the circuit.