Download App

STD 11 - 1. units,dimensions and measurement — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 11 - 1. units,dimensions and measurement4 Marks
MCQ
In an experiment four quantities $a, b, c$ and $d$ are measured with percentage error $1\%, 2\%, 3\%$ and $4\%$ respectively. Quantity $w$ is calculated as follows $w\, = \,\frac{{{a^4}{b^3}}}{{{c^2}\sqrt D }}$  error in the measurement of $w$ is .......... $\%$
  • A
    $10$
  • B
    $16$
  • ✓
    $18$
  • D
    $12$
✓

Answer

Correct option: C.
$18$
c
$\frac{{\Delta W}}{W}\,\, = \,\,4\,\frac{{\Delta a}}{a}\,\, + \,\,3\,\frac{{\Delta b}}{b}\, + \,\,2\frac{{\Delta c}}{c}\,\, + \,\,\frac{1}{2}\,\,\frac{{\Delta d}}{d}$

$ = 4(1\% ) + 3(2\% )\, + 2(3\% )\, + \,\frac{1}{2}(4\% ) = 18\,\% $

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

JEE STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

A photoelectric surface is illuminated successively by monochromatic light of wavelength $\lambda$ and $\lambda /2$. If the maximum kinetic energy of the emitted photoelectrons in the second case is $3$ times that in the first case, the work function of the surface of the material is 
$(h =$ Planck's constant, $c =$ speed of light $)$ 
→
Pick out the wrong statement
→
A solid sphere rolls down without slipping on a $30^o$ inclined plane. If $g = 10\,m/s^2$, the acceleration of the rolling sphere is
→
For a plane electromagnetic wave propagating in $x$-direction, which one of the following combination gives the correct possible directions for electric field $(E)$ and magnetic field $(B)$ respectively?
→
A capacitor $C = 100$ $ \mu F$ is connected to three resistor each of resistance $1$ $k\Omega$ and a battery of $emf$ $9\,V$. The switch $S$ has been closed for long time so as to charge the capacitor. When switch $S$ is opened, the capacitor discharges with time constant......$ms$
→
The figure shows a surface $XY$ separating two transparent media, medium -$1$ and medium -$2$. The lines $a b$ and cd represent wavefronts of a light wave travelling in medium-$1$ and incident on $XY$. The lines ef and gh represent wavefronts of the light wave in medium-$2$ after refraction.

$Image$

$1.$  Light travels as a

$(A)$ parallel beam in each medium

$(B)$ convergent beam in each medium

$(C)$ divergent beam in each medium

$(D)$ divergent beam in one medium and convergent beam in the other medium.

$2.$  The phases of the light wave at $\mathrm{c}, \mathrm{d}, \mathrm{e}$ and $\mathrm{f}$ are $\phi_{\mathrm{c}}, \phi_{\mathrm{d}}, \phi_{\mathrm{e}}$ and $\phi_{\mathrm{f}}$ respectively. It is given that $\phi_{\mathrm{c}} \neq \phi_{\mathrm{f}}$

$(A)$ $\phi_{\mathrm{c}}$ cannot be equal to $\phi_{\mathrm{d}}$

$(B)$ $\phi_{\mathrm{a}}$ can be equal to $\phi_{\mathrm{e}}$

$(C)$ $\left(\phi_{\mathrm{d}}-\phi_t\right)$ is equal to $\left(\phi_{\mathrm{c}}-\phi_{\mathrm{e}}\right)$

$(D)$ $\left(\phi_{\mathrm{d}}-\phi_c\right)$ is not equal to $\left(\phi_{\mathrm{f}}-\phi_e\right)$

$3.$  Speed of the light is

$(A)$ the same in medium-$1$ and medium-$2$

$(B)$ larger in medium-$1$ than in medium-$2$

$(C)$ larger in medium-$2$ than in medium-$1$

$(D)$ different at $\mathrm{b}$ and $\mathrm{d}$

Give the answer question $1, 2$ and $3.$

→
Two identical capacitors are joined in parallel, charged to potential $V$, separated and then, connected in series, $i.e.$, the positive plate of one is connected to the negative plate of the other. Then
→
A diffraction is obtained by using a beam of red light. What will happen if the red light is replaced by the blue light
→
A certain block weight $15\, N$ in air. It weight $12\, N$ when immersed in water when immersed in another liquid it weighs $13\, N$, the relative density of the block is
→
Determine the time in which the smaller block reaches other end of bigger block in the figure. $(g = 10\ m s^{-2})$ .......... $\sec$
→