Embibe Experts Solutions for Exercise 1: Exercise 1

The number of circular divisions on the shown screw gauge is $50$. It moves $0.5 \mathrm{mm}$ on the main scale for one complete rotation. The main scale reading is $2$. The diameter of the ball is,

A screw gauge gives the following reading when used to measure the diameter of a wire.

• Main scale reading: $0 \mathrm{mm}$
• Circular scale reading: $52 \mathrm{division}$

Given that $1 \mathrm{mm}$ on the main scale corresponds to $100$ divisions on the circular scale. The diameter of the wire from the above data is, 

Which of the following is the unitless as well as dimensionless quantity?

If unit of length and time is doubled, what will be the numerical value of $g$ (acceleration due to gravity)?

Among the following sets, the one that cannot enter into the list of fundamental quantities in any system of units is

The dimensions of $K$ in the equation $W=\frac{1}{2} K{x}^2$ is:-

Force $\left(F\right)$ and density$\left(d\right)$ are related as $F=\frac{\alpha }{\beta +\sqrt{d}}$ then dimension of $\alpha$ are

In $\mathrm{C}.\mathrm{G}.\mathrm{S}.$ system, the magnitude of the force is $100 \mathrm{dyne}.$ In another system where the fundamental physical quantities are kilogram, metre and minute, the magnitude of the force is