Download App

STD 11 - 2. motion in straight line — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 11 - 2. motion in straight line4 Marks
MCQ
A particle initially at rest starts moving from reference point. $\mathrm{x}=0$ along $\mathrm{x}$-axis, with velocity $v$ that varies as $v=4 \sqrt{\mathrm{x} m} / \mathrm{s}$. The acceleration of the particle is __________$ \mathrm{ms}^{-2}$.
  • A
    $7$
  • ✓
    $8$
  • C
    $9$
  • D
    $10$
✓

Answer

Correct option: B.
$8$
b
$\mathrm{V}=4 \sqrt{\mathrm{x}}$

$\mathrm{a}=\mathrm{V} \frac{\mathrm{dv}}{\mathrm{dx}}$

$=4 \sqrt{\mathrm{x}} \times 4 \times \frac{1}{2} \mathrm{x}^{-1 / 2}=8 \mathrm{~m} / \mathrm{s}^2$

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 "SECTION - A [PHYSICS MCQ]" from STD 11 - 2. motion in straight line→STD 11 - 2. motion in straight line — all question types→JEE STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

If ${a_r}$ and ${a_t}$represent radial and tangential accelerations, the motion of a particle will be uniformly circular if
→
A large number of identical point masses $m$ are placed along $x$-axis, at $x=0,1,2,4$, The magnitude of gravitational force on mass at origin $(x=0)$, will be ............
→
The acceleration due to gravity on the earth's surface at the poles is $g$ and angular velocity of the earth about the axis passing through the pole is $\omega .$ An object is weighed at the equator and at a height $h$ above the poles by using a spring balance. If the weights are found to be same, then $h$ is $:( h << R ,$ where $R$ is the radius of the earth)
→
An observer moves towards a stationary source of sound with a velocity equal to one-fifth of the velocity of sound. The percentage change in the frequency will be $\dots \;$%
→
A certain mass of gas at $273 K$ is expanded to $81$ times its volume under adiabatic condition. If $\gamma = 1.25$ for the gas, then its final temperature is ..... $^oC$
→
A device used to measure very high temperature is
→
$A$ parallel beam of light $500nm $ is incident at an angle $30^o$ with the normal to the slit plane in a young's double slit experiment. The intensity due to each slit is $Io$. $P$ oint $O$ is equidistant from $S_1$ and $S_2$. The distance between slits is $1mm.$
→
The resistances of three parts of a circular loop are as shown in the figure. The magnetic field at the centre $O$ is :-
→
A closed container contains a homogeneous mixture of two moles of an ideal monatomic gas $(\gamma=5 / 3)$ and one mole of an ideal diatomic gas $(\gamma=7 / 5)$. Here, $\gamma$ is the ratio of the specific heats at constant pressure and constant volume of an ideal gas. The gas mixture does a work of $66$ Joule when heated at constant pressure. The change in its internal energy is. . . . . . .Joule.
→
A positive charge $q$ is placed in a spherical cavity made in a positively charged sphere. The centres of sphere and cavity are displaced by a small distance $\vec l $ . Force on charge $q$ is :
→