Embibe Experts Solutions for Chapter: Physical World and Measurement, Exercise 3: Exercise-3

Resistance of a given wire is obtained by measuring the current flowing in it and the voltage difference applied across it. If the percentage errors in the measurement of the current and the voltage difference are $3\%$ each, then error in the value of resistance of the wire is 

The dimensions of ${\left[{\mu }_0{\in }_0\right]}^{-1/2}$ is :

If force $\left(F\right),$ velocity $\left(v\right)$ and time $\left(T\right)$ are taken as fundamental units, then the dimensions of mass is

If speed $\left(V\right)$, acceleration $\left(A\right)$ and force $\left(F\right)$ are considered as fundamental units, the dimension of Young's modulus will be,

A physical quantity of the dimensions of length that can be formed out of $c$, $G$ and $\frac{e^2}{4\pi e_0}$ is [$c$ is the velocity of light, $G$ is the universal constant of gravitation and $e$ is charge] :

The respective number of significant figures for the numbers $23.023, 0.0003, 21\times {10}^{-3}$ are

The period of oscillation of a simple pendulum is $\mathrm{T}=2\pi \sqrt{\mathrm{L}/g}.$ Measured value of  $L=20.0 \mathrm{cm}$known to $1\mathrm{mm}$ accuracy and time for $100$oscillations of the pendulum is found to$90 s$ using a wrist watch of $1s$ resolution. The accuracy in the determination of $g$ is :

The density of the material in the shape of a cube is determined by measuring three sides of the cube and its mass. If the relative errors in measuring the mass and length are respectively $1.5\%$  and $1\%,$ the maximum error in determining the density is: