Competishun Header
Competishun
Contact Us
Back

Report Issue

JEE MAIN 2021
16-03-2021 S2
Question
A body of mass 2 kg moves under a force of $(2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}+5 \hat{\mathrm{k}}) \mathrm{N}$. It starts from rest and was at the origin initially. After 4s, its new coordinates are (8, $b, 20$ ). The value of $b$ is $\_\_\_\_$ . (Round off to the Nearest Integer)
Write Your Answer
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
$\begin{aligned} & \vec{a}=\frac{\vec{F}}{m}=\frac{2 \hat{i}+3 \hat{j}+5 \hat{k}}{2} \\ & =\hat{i}+1.5 \hat{j}+2.5 \hat{k} \\ & \vec{\tau}-=\vec{u} t+\frac{1}{2} \vec{a} t^2 \\ & =0+\frac{1}{2}(\hat{i}+1.5 \hat{j}+2.5 \hat{k})(16) \\ & =8 \hat{i}+12 \hat{j}+20 \hat{k} \\ & b=12\end{aligned}$
Question Tags
JEE Main
Physics
Easy
Start Preparing for JEE with Competishun
YouTube
Books
App
Tests
Filters 0
JEE Main
JEE Advance
Easy
Medium
Hard
Showing 18 questions
QJEE Advance 20202020
A circular disc of radius $R$ carries surface charge density $\sigma(r)=\sigma_0\left(1-\frac{r}{R}\right)$, where $\sigma_0$ is a constant and $r$ is the...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20202020
A stationary tuning fork is in resonance with an air column in a pipe. If the tuning fork is moved...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20202020
Consider one mole of helium gas enclosed in a container at initial pressure $P_1$ and volume $V_1$. It expands isothermally...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20202020
One end of a spring of negligible unstretched length and spring constant k is fixed at the origin $(0,0)$. A...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20202020
When water is filled carefully in a glass, one can fill it to a height $h$ above the rim of...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20202020
Put a uniform meter scale horizontally on your extended index fingers with the left one at 0.00 cm and the...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20202020
As shown schematically in the figure, two vessels contain water solutions (at temperature $T$ ) of potassium permanganate $\left(\mathrm{KMnO}_4\right)$ of...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20202020
Shown in the figure is a semicircular metallic strip that has thickness $t$ and resistivity $\rho$. Its inner radius is...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20202020
A uniform electric field, $\vec{E}=-400 \sqrt{3} \hat{y} \mathrm{NC}^{-1}$ is applied in a region. A charged particle of mass m carrying...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20202020
Sometimes it is convenient to construct a system of units so that all quantities can be expressed in terms of...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20202020
The filament of a light bulb has surface area $64 \mathrm{~mm}^2$. The filament can be considered as a black body...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20202020
A particle of mass m moves in circular orbits with potential energy $\mathrm{V}(\mathrm{r})=F r$, where F is a positive constant...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20202020
An open-ended U-tube of uniform cross-sectional area contains water (density $10^3 \mathrm{~kg} \mathrm{~m}^{-3}$ ). Initially the water level stands at...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance2018
For every twice differentiable function $f: R \rightarrow[-2,2]$ with $(f(0))^2+\left(f^{\prime}(0)\right)^2=85$, which of the following statement(s) is (are) TRUE ?
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance 20202020
A parallel beam of light strikes a piece of transparent glass having cross section as shown in the figure below....
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20202020
Therefore relative displacement (with respect to centre of roller) is $(75-50) \mathrm{cm}=25 \mathrm{~cm}$. A circular coil of radius R and...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 2020 2020
A small roller of diameter 20 cm has an axle of diameter 10 cm (see figure below on the left)....
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance2021
The pair(s) of complexes wherein both exhibit tetrahedral geometry is(are) (Note: py = pyridine Given: Atomic numbers of $...
JEE AdvanceChemistryEasy
View Solution→