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

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

Similar questions

Glass has refractive index $\mu $ with respect to air and the critical angle for a ray of light going from glass to air is $\theta$. If a ray of light is incident from air on the glass with angle of incidence $\theta$, the corresponding angle of refraction is

The total intensity of earth's magnetic field at the magnetic equator is $5$ $units$. Its value at a magnetic latitude of $37^o $ is equal to

A dip circle is at right angle to the magnetic meridian. What will be the apparent dip......$^o$

Identify the reactant $X$ and the product $Y$

A solid cylinder $30\ cm$ in diameter at the top of an inclined plane $2.0\ m$ high is released and rolls down the incline without loss of energy due to friction. Its linear speed at the bottom is.......... $m/\sec$.

An observer can see through a small hole on the side of a jar (radius $15\, cm$ ) at a point at height of $15\, cm$ from the bottom (see figure). The hole is at a height of $45\, cm$. When the jar is filled with a liquid up to a height of $30\, cm$ the same observer can see the edge at the bottom of the jar. If the refractive index of the liquid $N / 100,$ where $N$ is an integer, the value of $N$ is $.....$

A small source of light is to be suspended directly above the centre of a circular table of radius $R$. What should be the height of the light source above the table so that the intensity of light is maximum at the edges of the table compared to any other height of the source

A magnet makes $40$ oscillations per minute at a place having magnetic field of $0.1 \times 10^{-5}\, T$. At another place, it takes $2.5\, sec$ to complete one vibration. The value of earth's horizontal field at that place is

Newton-second is the unit of

Statement $I :$ A cyclist is moving on an unbanked road with a speed of $7\, kmh ^{-1}$ and takes a sharp circular turn along a path of radius of $2 \,m$ without reducing the speed. The static friction coefficient is $0.2$ . The cyclist will not slip and pass the curve $\left( g =9.8\, m / s ^{2}\right)$

Statement $II :$ If the road is banked at an angle of $45^{\circ}$, cyclist can cross the curve of $2\, m$ radius with the speed of $18.5\, kmh ^{-1}$ without slipping.

In the light of the above statements, choose the correct answer from the options given below.