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Semiconductor Electronics: Materials, Devices and Simple Circuits

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In communication system, only one percent frequency of signal

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Solving time: 2 mins

In communication system, only one percent frequency of signal of wavelength $800 nm$ can be used as bandwidth. How many channal of $6 MHz$ bandwidth can be broadcast this?
$(c = 3 \times 1 0^{8} m / s, h = 6.6 \times 1 0^{- 34} J - s)$
(a) $3.75 \times 1 0^{6}$
(b) $3.86 \times 1 0^{6}$
(c) $6.25 \times 1 0^{5}$
(d) $4.87 \times 1 0^{5}$

Views: 5,848 students

Book:

Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Exam:

JEE Mains 2019

Found 2 tutors discussing this question

Mila Discussed

In communication system, only one percent frequency of signal of wavelength

800 nm

can be used as bandwidth. How many channal of

6 MHz

bandwidth can be broadcast this?

(c = 3 \times 1 0^{8} m / s, h = 6.6 \times 1 0^{- 34} J - s)

(a)

3.75 \times 1 0^{6}

(b)

3.86 \times 1 0^{6}

(c)

6.25 \times 1 0^{5}

(d)

4.87 \times 1 0^{5}

6 mins ago

Discuss this question LIVE

6 mins ago

Text solutionVerified

E x p . (c)

Here,
Signal wavelength,

λ = 800 nm = 8 \times 1 0^{- 7} m

Frequency of source is
As,

f = \frac{C}{λ} = \frac{3 \times 1 0 ^{8}}{8 \times 1 0 ^{- 7}} = 3.75 \times 1 0^{14} Hz

∴

Total bandwidth used for communication

= 1%

3.75 \times 1 0^{14}

= 3.75 \times 1 0^{12} Hz

So, number of channel for signals

= \frac{t o t a l ban d w i d t h a v ai l ab l e f or co mm u ni c a t i o n}{ban d w i d t h o f T V s i g na l}

= \frac{3.75 \times 1 0 ^{12}}{6 \times 1 0 ^{6}} = 0.625 \times 1 0^{6} = 625 \times 1 0^{5}

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Question Text	In communication system, only one percent frequency of signal of wavelength $800 nm$ can be used as bandwidth. How many channal of $6 MHz$ bandwidth can be broadcast this? $(c = 3 \times 1 0^{8} m / s, h = 6.6 \times 1 0^{- 34} J - s)$ (a) $3.75 \times 1 0^{6}$ (b) $3.86 \times 1 0^{6}$ (c) $6.25 \times 1 0^{5}$ (d) $4.87 \times 1 0^{5}$
Topic	Semiconductor Electronics: Materials, Devices and Simple Circuits
Subject	Physics
Class	Class 12
Answer Type	Text solution:1
Upvotes	10

Text solutionVerified

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In communication system, only one percent frequency of signal of wavelength 800 nm can be used as bandwidth. How many channal of 6MHz bandwidth can be broadcast this?(c=3×108 m/s,h=6.6×10−34 J−s)(a) 3.75×106(b) 3.86×106(c) 6.25×105(d) 4.87×105

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