The vernier constant of two vernier callipers  and  are  and  respectively. Which one can measure the length of an object more accurately?

The value of the smallest division of the main scale of a vernier callipers is . Let  divisions of the vernier scale be equivalent to  smallest divisions of the main scale. The vernier constant of the instrument is

The reading of given vernier callipers is

If  and  represent the increase in length, the original length of the experimental wire, load applied to the wire and area of cross-section of the wire respectively then Young's modulus of the wire is given by

For the determination of the coefficient of viscosity of a given liquid, a graph between square of the radius of the spherical steel balls and their terminal velocity is plotted. The slope of the graph is given by

Astudent performs an experiment to determine the Young's modulus of a wire, exactly  long, by Searle's method. In a particular reading, the student measures the extension in the length of the wire to be  with an uncertainty of  at a load of exactly . The student also measures the diameter of the wire to be  with an uncertainty of . Take  (exact). The Young's modulus obtained from the reading is

An experiment takes 10 minutes to raise the temperature of water in a container from  to  and another 55 minutes to convert it totally into steam by a heater supplying heat at a uniform rate. Neglecting the specific heat of the container and taking specific heat of water to be , the heat of vapourization according to this experiment will come out to be :

While measuring the speed of sound by performing a resonance column experiment, a student gets the first resonance condition at a column length of  during winter. Repeating the same experiment during summer, she measures the column length to be  for the second resonance. Then