Embibe Experts Solutions for Chapter: Units and Measurement, Exercise 1: Exercise

 If the errors in measurement of the force on a plate and the radius of the plate are$5\%$ and $3\%$ respectively, find the percentage of error in the measurement of pressure.

If the dimensional formula of a quantity is $\left[{\mathrm{M}}^{\mathrm{a}}{\mathrm{L}}^{\mathrm{b}}{\mathrm{T}}^{\mathrm{c}}\right]$, then choose the option which indicates the correct quanity corresponding to the accompanying values of variables.

Select the dimensionally wrong relation:

For $S=a+bt+c{t}^2$, $S$ is in $\mathrm{metre}$ and $t$ is in $\mathrm{second}$. Find the unit of $c$

What are the dimensions of $a$ and $\mathrm{b}$ in force $F=at+b{t}^2$?

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

The time dependence of a physical quantity p is given by $\text{p}={\text{p}}_0{\text{exp}}^{\left(-\alpha {\text{t}}^2\right)}$ where $\alpha$ is a constant and t is the time. The constant $\alpha$