The density of a 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 ........ $\%$
JEE MAIN 2018, Easy
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1If $y$ represents pressure and $x$ represents velocity gradient, then the dimensions of $\frac{d^2 y}{d x^2}$ areView Solution
- 2View SolutionDimensions of frequency are
- 3Number of particles is given by $n = - D\frac{{{n_2} - {n_1}}}{{{x_2} - {x_1}}}$ crossing a unit area perpendicular to X-axis in unit time, where ${n_1}$ and ${n_2}$ are number of particles per unit volume for the value of $x$ meant to ${x_2}$ and ${x_1}$. Find dimensions of $D$ called as diffusion constantView Solution
- 4View SolutionOne second is equal to
- 5If momentum $[ P ]$, area $[ A ]$ and time $[ T ]$ are taken as fundamental quantities, then the dimensional formula for coefficient of viscosity is :View Solution
- 6The period of oscillation of a simple pendulum is given by $T = 2\pi \sqrt {\frac{l}{g}} $ where $l$ is about $100 \,cm$ and is known to have $1\,mm$ accuracy. The period is about $2\,s$. The time of $100$ oscillations is measured by a stop watch of least count $0.1\, s$. The percentage error in $g$ is ......... $\%$View Solution
- 7Match List $I$ with List $II$.View Solution
List $I$ List $II$ $(A)$ Torque $(I)$ $Nms^{-1}$ $(B)$ Stress $(II)$ $J\,kg^{-1}$ $(C)$ Latent Heat $(III)$ $Nm$ $(D)$ Power $(IV)$ $Nm^{-2}$ Choose the correct answer from the options below.
- 8$1$ joule of energy is to be converted into new system of units in which length is measured in $10$ metre, mass in $10 \,kg$ and time in $1$ minute. The numerical value of $1 \,J$ in the new system isView Solution
- 9In a particular system of units, a physical quantity can be expressed in terms of the electric charge $c$, electron mass $m_c$, Planck's constant $h$, and Coulomb's constant $k=\frac{1}{4 \pi \epsilon_0}$, where $\epsilon_0$ is the permittivity of vacuum. In terms of these physical constants, the dimension of the magnetic field is $[B]=[c]^\alpha\left[m_c\right]^\beta[h]^\gamma[k]^\delta$. The value of $\alpha+\beta+\gamma+\delta$ is. . . . .View Solution
- 10A physical quantity $'x'$ is calculated from the relation $x = \frac{{{a^2}{b^3}}}{{c\sqrt d }}$ in $a$,$b$,$c$ and $d$ are $2\%$, $1 \%$, $3\%$ and $4\%$ respectively, what is the percentage error in $x$.View Solution