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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.

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