Download App

STD 11 - 3.2 , motion in plane — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 11 - 3.2 , motion in plane4 Marks
MCQ
An object moves at a constant speed along a circular path in horizontal $XY$ plane with centre at origin. When the object is at  $x = -2\,m$ , its velocity is $-(4\,m/ s)\hat j$ . What is object's acceleration when it is at $y = 2\,m$ ?
  • ✓
    $-(8\,m/ s^2)\hat j$
  • B
    $-(8\,m/ s^2)\hat i$
  • C
    $-(4\,m/ s^2)\hat j$
  • D
    $(4\,m/ s^2)\hat i$
✓

Answer

Correct option: A.
$-(8\,m/ s^2)\hat j$
a
at $B$

$a_{B}=\frac{V^{2}}{R}=\frac{(4)^{2}}{2}=\frac{16}{2}=8 \mathrm{m} / \mathrm{s}^{2}$

$\overrightarrow{\mathrm{a}}_{\mathrm{B}}=-\left(8 \mathrm{m} / \mathrm{s}^{2}\right) \hat{\mathrm{j}}$

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 solid sphere of radius $R$ and a hollow sphere of inner radius $r$ and outer radius $R$ made of copper are heated to the same temperature and are allowed to cool in the same environment. Then, choose the $CORRECT$ statement
→
Boiling water is changing into steam. At this stage the specific heat of water is
→
In the reported figure of earth, the value of acceleration due to gravity is same at point $A$ and $C$ but it is smaller than that of its value at point $B$ (surface of the earth). The value of OA $: AB$ will be $x : y .$ The value of $x$ is $\ldots \ldots \ldots$
→
If $\vec{P}+\vec{Q}=\vec{P}-\vec{Q}$, then
→
An alternating voltage of amplitude $40 \mathrm{~V}$ and frequency $4 \mathrm{kHz}$ is applied directly across the capacitor of $12 \mu \mathrm{F}$. The maximum displacement current between the plates of the capacitor is nearly:
→
Two identical conducting spheres with negligible volume have $2.1\, nC$ and $-0.1\, nC$ charges, respectively. They are brought into contact and then separated by a distance of $0.5 \,m$. The electrostatic force acting between the spheres is $.......... \, \times 10^{-9} \,N$

[Given : $4 \pi \varepsilon_{0}=\frac{1}{9 \times 10^{9}} SI$ unit]

→
A block slides down a smooth inclined plane when released from the top, while another falls freely from the same point
→
Radiations of intensity $0.5\,\,W/{m^2}$ are striking a metal plate. The pressure on the plate is
→
A block of mass $m$ is placed on a smooth wedge of inclination $\theta $. The whole system is accelerated horizontally so that the block does not slip on the wedge. The force exerted by the wedge on the block ($g$ is acceleration due to gravity) will be
→
The resistance of a wire is$10\,\Omega $. Its length is increased by $10\%$ by stretching. The new resistance will now be .......... $\Omega$
→