OABC is a current carrying square loop an electron is projected f… - Vidyadip

MCQ

$OABC$ is a current carrying square loop an electron is projected from the centre of loop along its diagonal $AC$ as shown. Unit vector in the direction of initial acceleration will be

A
$\hat k$
✓
$ - \,\left( {\frac{{\hat i\, + \,\hat j}}{{\sqrt 2 }}} \right)$
C
$=- \hat k$
D
$\frac{{\hat i\, + \,\hat j}}{{\sqrt 2 }}$

✓

Answer

Correct option: B.

$ - \,\left( {\frac{{\hat i\, + \,\hat j}}{{\sqrt 2 }}} \right)$

b
$\vec{F}=-e(\vec{V} \times \vec{B})$

Force will be along $B O$ or unit vector

$=-\frac{\hat{i}+\hat{j}}{\sqrt{2} a}$

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

The maximum number of possible interference maxima for slit separation equal to $1.8\,\lambda $, where $\lambda $ is the wavelength of light used, in a Young's double slit experiment is

The displacement $(x)$ - time $(t)$ graph of a particle is shown in figure. Which of the following is correct?

An $LCR$ series circuit with $100 \,\Omega$ resistance is connected to an $AC$ source of $200\, V$ and angular frequency $300$ radians per second. When only the capacitance is removed, the current leads the voltage by $60^o .$ Then the current and power dissipated in $LCR$ circuit are respectively

Equations $y = 2A \cos ^2 \omega \,t$ and $y = A (\sin \omega t + \cos \omega t )$ represent the motion of two particles.

A block of mass $0.1\, kg$ is connected to an elastic spring of spring constant $640\, Nm^{-1}$ and oscillates in a damping medium of damping constant $10^{-2}\, kg\,s^{-1}$ . The system dissipates its energy gradually. The time taken for its mechanical energy of vibration to drop to half of its initial value, is closest to ..... $s$

Under elastic limit the stress is

A particle of mass $m_1$ is moving with a velocity $v_1$ and another particle of mass $m_2$ is moving with a velocity $v_2$ . Both of them have the same momentum but their different kinetic energies are $E_1$ and $E_2$ respectively. If $m_1 > m_2$ then

Which represents $NAND$ gate a

A person walks $25.0^{\circ}$ north of east for $3.18 \,km$. How far would she have to walk due north and then due east to arrive at the same location?

In one design of capacitor thin sheets ot metal of area $80\ mm \times 80\ mm$ sandwich between them a piece of paper whose thickness is $40\ μm$. The relative permittivity of the paper is $4.0$ and its dielectric strength is $20\ MVm^{-1}$. Calculate the maximum charge that can be put on the capacitor

[permittivity of free space $ = 9 \times 10^{-12}\ Fm^{-1}$]