MHT CET · Physics · Semiconductors
In an n-p-n transistor 200 electrons enter the emitter in \(10^{-8}\) second. If \(1 \%\) electrons are lost in the base, then the current that enters the emitter and the current amplification factor are respectively \(\left[\mathrm{e}=1.6 \times 10^{-19} \mathrm{C}\right]\)
- A \(2 \times 10^{-10} \mathrm{~A}\) and 49
- B \(3.2 \times 10^{-9} \mathrm{~A}\) and 99
- C \(1.6 \times 10^{-19} \mathrm{~A}\) and 90
- D \(1.7 \times 10^{-11} \mathrm{~A}\) and 70
Answer & Solution
Correct Answer
(B) \(3.2 \times 10^{-9} \mathrm{~A}\) and 99
Step-by-step Solution
Detailed explanation
\(\mathrm{q}=200 \times 1.6 \times 10^{-19} \mathrm{C}, \mathrm{t}=10^{-8} \mathrm{~s} \)
\( \therefore \text {Emitter current } \mathrm{I}_{\mathrm{e}}=\frac{\mathrm{q}}{\mathrm{t}}=\frac{3.2 \times 10^{-17}}{10^{-8}}\) \(=3.2 \times 10^{-9} \mathrm{~A} \)
\( \mathrm{I}_{\mathrm{b}}=\frac{1}{100} \cdot \mathrm{I}_{\mathrm{e}} \)
\( \mathrm{I}_{\mathrm{c}}=\frac{99}{100} \cdot \mathrm{I}_{\mathrm{e}}\)
\(\therefore\) Current amplification factor \(\beta=\frac{I_c}{I_b}=99\)
\( \therefore \text {Emitter current } \mathrm{I}_{\mathrm{e}}=\frac{\mathrm{q}}{\mathrm{t}}=\frac{3.2 \times 10^{-17}}{10^{-8}}\) \(=3.2 \times 10^{-9} \mathrm{~A} \)
\( \mathrm{I}_{\mathrm{b}}=\frac{1}{100} \cdot \mathrm{I}_{\mathrm{e}} \)
\( \mathrm{I}_{\mathrm{c}}=\frac{99}{100} \cdot \mathrm{I}_{\mathrm{e}}\)
\(\therefore\) Current amplification factor \(\beta=\frac{I_c}{I_b}=99\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- A particle carrying a charge equal to 100 times the charge on an electron is rotating one rotation per second in a circular path of radius 0.8 m . The value of magnetic field produced at the centre will be ( \(\mu_0=\) permeability of vacuum)MHT CET 2024 Hard
- When an observer moves towards a stationary source with velocity ' \(\mathrm{V}_1\) ', the appearent frequency of emitted note is ' \(\mathrm{F}_1\) '. When observer moves away from stationary source with velocity ' \(\mathrm{V}_1\) ' the appearent frequency is ' \(F_2\) '. If ' \(v\) ' is velocity of sound in air and \(\frac{F_1}{F_2}=2\), then \(\frac{V}{V_1}\) is equal toMHT CET 2025 Medium
- Half-lives of two radioactive elements \(A\) and \(B\) are 30 minute and 60 minute respectively. Initially the samples have equal number of nuclei. After 120 minute the ratio of decayed numbers of nuclei of \(B\) to that of \(A\) will beMHT CET 2024 Medium
- A molecule of water on the surfaceMHT CET 2019 Medium
- Two points separated by a distance of 0.1 mm can just be seen in microscope when light of wavelength \(6000 Å\) is used. If the light of wavelength \(4800 Å\) is used, the limit of resolution will becomeMHT CET 2024 Medium
- Absorption coefficient of an open window isMHT CET 2008 Easy
More PYQs from MHT CET
- The period of seconds pendulum on a planet, whose mass and radius are three times
that of earth, isMHT CET 2020 Medium - In biprism experiment, if \(5^{\text {th }}\) bright band with wavelength \(\lambda_1\) coincides with \(6^{\text {th }}\) dark band with wavelength \(\lambda_2\) then the ratio \(\left(\lambda_1 / \lambda_2\right)\) isMHT CET 2024 Medium
- Match the Column I (Blood corpuscles) with Column II (functions).
Column I
(Blood corpuscles)Column II (functions) i Neutrophils a. Immunity Ii Cyanophils b. Phagocytosis Iii Acidophils c. Secretion of histamines Iv Lymphocytes d. Antihistaminic MHT CET 2024 Medium - If \(\left|\frac{\mathrm{z}}{1+\mathrm{i}}\right|=2\), where \(\mathrm{z}=x+\mathrm{i} y, \mathrm{i}=\sqrt{-1}\) represents a circle, then centre ' \(C\) ' and radius ' \(r\) ' of the circle areMHT CET 2024 Hard
- What is the co-ordination number of hcp crystal lattice?MHT CET 2022 Easy
- A variable plane passes through the fixed point \((3,2,1)\) and meets \(X, Y\) and \(Z\) axes at points \(A\), B and C respectively. A plane is drawn parallel to YZ - plane through A , a second plane is drawn parallel to ZX -plan through B, a third plane is drawn parallel to XY - plane through C . Then locus of the point of intersection of these three planes, isMHT CET 2024 Hard