The density of a material in the shape of a cube is determined by… - Vidyadip

MCQ

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 ........ $\%$

A
$3.5$
✓
$4.5$
C
$6$
D
$2.5$

✓

Answer

Correct option: B.

$4.5$

b
$Density\left( d \right) = \frac{{mass\left( M \right)}}{{volume\left( V \right)}} = \frac{M}{{{L^3}}}$
$\therefore Error\,in\,density,\,\frac{{\Delta d}}{d} = \frac{{\Delta M}}{M} + \frac{{3\Delta L}}{L}$
$ = 1.5\% + 3\left( {1\% } \right) = 4.5\% $

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from 1. units,dimensions and measurement→1. units,dimensions and measurement — all question types→Physics STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

Surface of the lake is at $2°C$ . Find the temperature of the bottom of the lake..... $^oC$

A spherically symmetric gravitational system of particles has a mass density $\rho=\left\{\begin{array}{ll}\rho_0 & \text { for } r \leq R \\ 0 & \text { for } r>R\end{array}\right.$ where $\rho_0$ is a constant. A test mass can undergo circular motion under the influence of the gravitational field of particles. Its speed V as a function of distance $r(0 < r < \infty)$ from the centre of the system is represented by

The centre of mass of two masses $m$ and $m'$ moves by distance $\frac{x}{5}$ when mass $m$ is moved by distance $x$ and $m'$ is kept fixed. The ratio $\frac{m'}{m}$ is

A body is thrown vertically upwards with a velocity $u$. Find the true statement from the following

The normal density of a material is $\rho$ and its bulk modulus of elasticity is $K$. The magnitude of increase in density of material, when a pressure $P$ is applied uniformly on all sides, will be

The speeds of $5$ molecules of a gas (in arbitrary units) are as follows : $2, 3, 4, 5, 6.$ The root mean square speed for these molecules is

At constant pressure how much fraction of heat supplied to gas is converted into mechanical work?

Two wires of equal lengths are made of the same material. Wire $A$ has a diameter that is twice as that of wire $B$. If identical weights are suspended from the ends of these wires, the increase in length is

The drawing shows a top view of a frictionless horizontal surface, where there are two indentical springs with particles of mass $m_1$ and $m_2$ attached to them. Each spring has a spring constant of $1200\ N/m.$ The particles are pulled to the right and then released from the positions shown in the drawing. How much time passes before the particles are again side by side for the first time if $m_1 = 3.0\ kg$ and $m_2 = 27 \,kg \,?$

A simple harmonic motion is represented by $y\, = 5\,(\sin \,3\pi t\, + \,\sqrt 3 \,\cos \,3\pi t)\,cm$ The amplitude and time period of the motion are