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Page No 510: - Chapter 14 Semiconductors Exercise Solutions class 12 ncert solutions Physics - SaraNextGen [2024]


Question 14.5:

When a forward bias is applied to a p-n junction, it

(a) raises the potential barrier.

(b) reduces the majority carrier current to zero.

(c) lowers the potential barrier.

(d) None of the above.

Answer:

The correct statement is (c).

When a forward bias is applied to a p-n junction, it lowers the value of potential barrier. In the case of a forward bias, the potential barrier opposes the applied voltage. Hence, the potential barrier across the junction gets reduced.

Question 14.6:

For transistor action, which of the following statements are correct:

(a) Base, emitter and collector regions should have similar size and doping concentrations.

(b) The base region must be very thin and lightly doped.

(c) The emitter junction is forward biased and collector junction is reverse biased.

(d) Both the emitter junction as well as the collector junction are forward biased.

Answer:

The correct statement is (b)(c).

For a transistor action, the junction must be lightly doped so that the base region is very thin. Also, the emitter junction must be forward-biased and collector junction should be reverse-biased.

Question 14.7:

For a transistor amplifier, the voltage gain

(a) remains constant for all frequencies.

(b) is high at high and low frequencies and constant in the middle frequency range.

(c) is low at high and low frequencies and constant at mid frequencies.

(d) None of the above.

Answer:

The correct statement is (c).

The voltage gain of a transistor amplifier is constant at mid frequency range only. It is low at high and low frequencies.

Question 14.8:

In half-wave rectification, what is the output frequency if the input frequency is 50 Hz. What is the output frequency of a full-wave rectifier for the same input frequency.

Answer:

Input frequency = 50 Hz

For a half-wave rectifier, the output frequency is equal to the input frequency.

∴Output frequency = 50 Hz

For a full-wave rectifier, the output frequency is twice the input frequency.

∴Output frequency = 2 × 50 = 100 Hz

Question 14.9:

For a CE-transistor amplifier, the audio signal voltage across the collected resistance of 2 kΩ is 2 V. Suppose the current amplification factor of the transistor is 100, find the input signal voltage and base current, if the base resistance is 1 kΩ.

Answer:

Collector resistance, RC = 2 kΩ = 2000 Ω

Audio signal voltage across the collector resistance, V = 2 V

Current amplification factor of the transistor, β = 100

Base resistance, RB = 1 kΩ = 1000 Ω

Input signal voltage = Vi

Base current = IB

We have the amplification relation as:

Voltage amplification https://img-nm.mnimgs.com/img/study_content/curr/1/12/16/258/8056/NS_29-10-08_Sravana_12_Physics_14_19_NRJ_LVN_html_75fb15b6.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/12/16/258/8056/NS_29-10-08_Sravana_12_Physics_14_19_NRJ_LVN_html_m8f85884.gif

https://img-nm.mnimgs.com/img/study_content/curr/1/12/16/258/8056/NS_29-10-08_Sravana_12_Physics_14_19_NRJ_LVN_html_56b50c6b.gif

Therefore, the input signal voltage of the amplifier is 0.01 V.

Base resistance is given by the relation:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/16/258/8056/NS_29-10-08_Sravana_12_Physics_14_19_NRJ_LVN_html_m75df27aa.gif

Therefore, the base current of the amplifier is 10 μA.

Question 14.10:

Two amplifiers are connected one after the other in series (cascaded). The first amplifier has a voltage gain of 10 and the second has a voltage gain of 20. If the input signal is 0.01 volt, calculate the output ac signal.

Answer:

Voltage gain of the first amplifier, V1 = 10

Voltage gain of the second amplifier, V2 = 20

Input signal voltage, Vi = 0.01 V

Output AC signal voltage = Vo

The total voltage gain of a two-stage cascaded amplifier is given by the product of voltage gains of both the stages, i.e.,

V = V1 × V2

= 10 × 20 = 200

We have the relation:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/16/258/8057/NS_29-10-08_Sravana_12_Physics_14_19_NRJ_LVN_html_3d6209b7.gif

V0 = V × Vi

= 200 × 0.01 = 2 V

Therefore, the output AC signal of the given amplifier is 2 V.

Question 14.11:

A p-n photodiode is fabricated from a semiconductor with band gap of 2.8 eV. Can it detect a wavelength of 6000 nm?

Answer:

Energy band gap of the given photodiode, Eg = 2.8 eV

Wavelength, λ = 6000 nm = 6000 × 10−9 m

The energy of a signal is given by the relation:

E = https://img-nm.mnimgs.com/img/study_content/curr/1/12/16/258/8058/NS_29-10-08_Sravana_12_Physics_14_19_NRJ_LVN_html_m20682275.gif

Where,

h = Planck’s constant

= 6.626 × 10−34 Js

c = Speed of light

= 3 × 108 m/s

E https://img-nm.mnimgs.com/img/study_content/curr/1/12/16/258/8058/NS_29-10-08_Sravana_12_Physics_14_19_NRJ_LVN_html_m7eeafe75.gif

= 3.313 × 10−20 J

But 1.6 × 10−19 J = 1 eV

E = 3.313 × 10−20 J

https://img-nm.mnimgs.com/img/study_content/curr/1/12/16/258/8058/NS_29-10-08_Sravana_12_Physics_14_19_NRJ_LVN_html_m206feab9.gif

The energy of a signal of wavelength 6000 nm is 0.207 eV, which is less than 2.8 eV − the energy band gap of a photodiode. Hence, the photodiode cannot detect the signal.

Also Read : Page-No-510:CONT-Chapter-14-Semiconductors-Additional-Exercise-Solutions-class-12-ncert-solutions-Physics

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