MCQ
L, C and R represent the physical quantities inductance, capacitance and resistance respectively. Which of the following combinations have dimensions of frequency?
  • A
    $\frac{1}{\text{RC}}$
  • B
    $\frac{\text{R}}{\text{L}}$
  • C
    $\frac{1}{\sqrt{\text{LC}}}$
  • D
    $\text{C}/\text{L}$

Answer

  1. $\frac{1}{\text{RC}}$

  2. $\frac{\text{R}}{\text{L}}$

  3. $\frac{1}{\sqrt{\text{LC}}}$

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

Similar questions

The potential difference across the 100 W resistance in the following circuit is measured by a voltmeter of 900 W resistance. The percentage error made in reading the potential difference is

(a)  

(b) 0.1

(c) 1.0

(d) 10.0

A spherical drop of capacitance 1 mF is broken into eight drops of equal radius. Then, the capacitance of each small drop is ......

(a)    

(b) 8μF    

(c)    

(d)    

The earth’s magnetic field at a given point is 0.5  . This field is to be annulled by magnetic induction at the center of a circular conducting loop of radius 5.0cm. The current required to be flown in the loop is nearly

(a) 0.2 A

(b) 0.4A

(c) 4A      

(d) 40A

The variation of magnetic susceptibility (x) with magnetising field for a paramagnetic substance is

(a)

(b)

(c)

(d)

 

20 μA current flows for 30 seconds in a wire, transfer of charge will be

(a) 2

(b) 4

(c) 6

(d) 8

Assertion  :   Silicon is preferred over germanium for making semiconductor devices.

Reason      : The energy gap for germanium is more than the energy gap of silicon.

(a) If both assertion and reason are true and the reason is the correct explanation of the assertion.

(b) If both assertion and reason are true but reason is not the correct explanation of the assertion.

(c) If assertion is true but reason is false.

(d) If the assertion and reason both are false.

Light of a particular frequency υ is incident on a metal surface. When the intensity of incident radiation is increased, the photoelectric current?

The temperature (T) dependence of resistivity (r) of a semiconductor is represented by

(a)

(b)

(c)

(d)

Consider an NPN transistor amplifier in common-emitter configuration. The current gain of the transistor is 100. If the collector current changes by 1 mA, what will be the change in emitter current

(a) 1.1 mA

(b) 1.01 mA

(c) 0.01 mA

(d) 10 mA

Two charges are placed at certain distance apart. A metallic sheet is placed between them. What will happen to the force between the charges?