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An ideal battery of 4 V and resistance R are connected in series in the primary circuit of a potentiometer of length 1 m and resistance 5 Ω. The value of R, to give a potential difference of 5 mV across 10 cm of potentiometer wire, is:

A uniform disc of radius R and mass M rolls without slipping down an incline. Find the acceleration of its centre of mass.

For a first-order reaction, 75% of the reactant is consumed in 60 minutes. The half-life (in minutes) is:

Evaluate the definite integral of x·sin(x) from 0 to π.

An ideal gas undergoes an isothermal expansion. Which quantity remains zero for the process?

The number of unpaired electrons in [Fe(CN)6]³⁻ (low spin) is: