L, C and R represent the physical quantities inductance, capacita… - Vidyadip

Question

L, C and R represent the physical quantities inductance, capacitance and resistance respectively. Which of the following combinations have dimensions of frequency?

$\frac{1}{\text{RC}}$
$\frac{\text{R}}{\text{L}}$
$\frac{1}{\sqrt{\text{LC}}}$
$\text{C}/\text{L}$

✓

Answer

$\frac{1}{\text{RC}}$
$\frac{\text{R}}{\text{L}}$
$\frac{1}{\sqrt{\text{LC}}}$

Explanation:
þ Time constant t = RC in RC circuit
frequency $=\frac{1}{\tau}=\frac{1}{\text{RC}} \ ...(\text{i})$
þ Time constant in LR circuit is $\tau=\frac{\text{L}}{\text{RC}}$
frequency $\frac{1}{\tau}=\frac{\text{R}}{\text{L}} \ ...(\text{ii})$
þ eq. (i) & (ii) multiply
frequency $=\frac{1}{\text{LC}}$
frequency $=\frac{1}{\sqrt{2\text{C}}}$

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 Electromagnetic Induction→Electromagnetic Induction — all question types→Physics STD 12 Science question papers→Rajasthan Board STD 12 Science question papers→Rajasthan Board question paper generator→

Similar questions

According to Joule's law, if the potential difference across a conductor having a material of specific resistance remains constant, then the heat produced in the conductor is directly proportional to

Two streams of electrons are moving parallel to each other in the same direction. They_____.

Equipotential surfaces:

If $\mathrm{I}_0$ is the intensity of the principal maximum in the single slit diffraction pattern, then what will be its intensity when the slit width is doubled

As per this diagram a point charge $+q$ is placed at the origin $O$. Work done in taking another point charge $-Q$ from the point $A \ [$co$-$ordinates $(0, a) ]$ to another point $B\ [$co$-$ordinates $(a, 0)]$ along the straight path $AB$ is

In any fission process the ratio $\frac{\text{mass of fission products}}{\text{mass of parent nucleus}}$ is

A diamagnetic material in a magnetic field moves(a) From weaker to the stronger parts of the field(b) Perpendicular to the field(c) From stronger to the weaker parts of the field(d) In none of the above directions

In the circuit shown $P \neq R,$ the reading of the galvanometer is same with switch $S$ open or closed. Then

Three charges $Q(+q)$ and $(+q)$ are placed at the vertices of an equilateral triangle of side $l$ as shown in the figure. If the net electrostatic energy of the system is zero, then $Q$ is equal to

Twists of suspension fibre should be removed in vibration magnetometer so that(a) Time period be less(b) Time period be more(c) Magnet may vibrate freely (d) Cannot be said with certainty