Embibe Experts Solutions for Chapter: Physical World and Measurement, Exercise 2: Level 2

Match the physical quantities with their correct $\mathrm{SI}$ units.

The correct match is

Match the following?

A new temperature scale uses $X$ as a unit of temperature, where the numerical value of the temperature $t_{\mathrm{x}}$ in this scale is related to the absolute temperature $T$ by $t_{\mathrm{x}}=3T+300$. If the specific heat of material using this unit is $1400 \mathrm{J} {\mathrm{kg}}^{-1} {\mathrm{X}}^{-1}$ its specific heat in the S.I. system of units is :

A neutron star with magnetic moment of magnitude $m$ is spinning with angular velocity $\omega$ about its magnetic axis. The electromagnetic power $P$ radiated by it is given by ${\mu }_0^x{m}^y{\omega }^2{c}^u,$ where ${\mu }_n$ and $c$ are the permeability and speed of light in free space, respectively. Then

The time period of a simple pendulum is given by $T=2\pi \sqrt{\frac{l}{g}}.$ The measured value of the length of the pendulum is $10 \mathrm{cm}$ known to a $1 \mathrm{mm}$ accuracy. The time for $200$ oscillations of the pendulum is found to be $100$ second using a clock of $1\mathrm{s}$ resolution. The percentage accuracy in the determination of $g$ using this pendulum is $x.$ The value of $x$ to the nearest integer is:-

Order of magnitude of a physical quantity is the

The distance $s$ travelled by a particle in time $t$ is $s=ut-\frac{1}{2}g{t}^2$. The initial velocity of the particle was measured to be $u=\left(1.11\pm 0.01\right) \mathrm{m} {\mathrm{s}}^{-1}$ and the time interval of the experiment was $t=\left(1.01\pm 0.1\right) \mathrm{s}$. The acceleration was taken to be $g=\left(9.8\pm 0.1\right) \mathrm{m} {\mathrm{s}}^{-2}$. With these measurements, the student estimates the total distance travelled. How should the student report the result?

The edge of a cube is $a=1.2\times {10}^{-2} \mathrm{m}.$ Then its volume will be recorded as