Show that a screw gauge of pitch 1mm and 100 divisions is more precise than a vernier caliper with 20 divisions on the sliding scale.

Write a short note on the scalar product between two vectors.

Can we predict the direction of motion of a body from the direction of force on it?

Explain how the definition of work in physics is different from general perception.

A force of \((4\hat{i}-3\hat{j}+5\hat{k})\) N is applied at a point whose position vector is \((7\hat{i}+4\hat{j}-2\hat{k})\) m. Find the torque of force about the origin.

What are the factors affecting the surface tension of a liquid?

Give the sign convention for Q and W.

A gas is at temperature 80°C and pressure 5\(\times\)10^-10N m^-2. What is the number of molecules per m³ if Boltzmann’s constant is 1.38\(\times\)10^-23 J K^-1

Write short notes on two springs connected in parallel.

Suppose a man stands at a distance from a cliff and claps his hands. He receives an echo from the cliff after 4 second. Calculate the distance between the man and the cliff. Assume the speed of sound to be 343 m s^-1.