An infinitely long uniform line charge distribution of charge per… - Vidyadip

MCQ

An infinitely long uniform line charge distribution of charge per unit length $\lambda$ lies parallel to the $y$-axis in the $y-z$ plane at $z=\frac{\sqrt{3}}{2} a$ (see figure). If the magnitude of the flux of the electric field through the rectangular surface $A B C D$ lying in the $x-y$ plane with its center at the origin is $\frac{\lambda L }{ n \varepsilon_0}\left(\varepsilon_0=\right.$ permittivity of free space $)$, then the value of $n$ is

A
$4$
B
$5$
✓
$6$
D
$7$

✓

Answer

Correct option: C.

$6$

c
From the figure $\theta=60^{\circ}$

So No. of rectangular surfaces used to form a

$m =\frac{360}{60}=6$

So, $\phi=\frac{(\lambda L)}{6 \varepsilon_0}$, Hence ' $n$ ' $=6$

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 "M.C.Q (1 Marks)" from 1. Electric charges and fields→1. Electric charges and fields — all question types→Physics STD 12 Science question papers→CBSE Board STD 12 Science question papers→CBSE Board question paper generator→

Similar questions

A gas is contained in a metallic cylinder fitted with a piston. The piston is suddenly moved in to compress the gas and is maintained at this position. As time passes the pressure of the gas in the cylinder:

When semiconductor is doped half with trivalent and half with pentavalent impurities, junction formed is known as:

A physicist works in a laboratory where the magnetic field is $2 \,T$. She wears a necklace enclosing area $0.01$ $m_2$ in such a way that the plane of the necklace is normal to the field and is having a resistance $R = 0.01$ $\Omega$. Because of power failure, the field decays to $1 \,T$ in time $10^{-3}$ seconds. Then what is the total heat produced in her necklace ?.......$J$ ($T = Tesla$)

Two identical metallic square loops $L_1$ and $L_2$ are placed next to each other with their sides parallel on a smooth horizontal table. Loop $L_1$ is fixed and a current which increases as a function of time is passed through it. Then, loop $L_2$ is

Four ray $1, 2, 3$ and $4$ are incident normally on the face $P Q$ of an isosceles prism $P Q R$ with apex angle $\angle Q=120^{\circ}$. The refractive indices of the material of the prism for the above rays $1,2,3$ and $4$ are $1.85$, $1.95,2.05$ and $2.15$ respectively and the surrounding medium is air. Then, the rays emerging from the face $Q R$ are

ABC is a right angled triangle in which AB = 3 cm and BC = 4 cm. And Ð ABC = p/2. The three charges +15, +12 and -20 e.s.u. are placed respectively on A, B and C. The force acting on B is

A step up transformer connected to a 220 V AC line is to supply 22 kV for a neon sign in secondary circuit. In primary circuit a fuse wire is connected which is to blow when the current in the secondary circuit exceeds 10 mA. The turn ratio of the transformer is

Correct mathematical form of Ampere's rule is:

A thermo couple uses Bismuth and Tellurium as the dissimilar metals. The sensitivity of bismuth is -72μV/℃ and that of the tellurium is 500μV/℃. If the difference between hot and cold junction is 100℃ then the maximum output will be

The $ i-V$ characteristic of a $P-N$ junction diode is shown below. The approximate dynamic resistance of the $P-N$ junction when a forward bias of $2\;volt $ is applied.......$\Omega$