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MHT CET 202625 AprilMorning Shift
Exam
MHT CET
Year
2026
Date
25 April
Shift
Morning Shift
Subject
Physics
Chapter
Semiconductors

MHT CET 2026 · 25 April · Morning Shift · Physics · Semiconductors

If the current gain in common-base configuration (α ) of a...

If the current gain in common-base configuration (\alpha)ofatransistorincreasesfrom0.95to0.96,thepercentagechangeincurrentgainincommon−emitterconfiguration(β) of a transistor increases from 0.95 to 0.96, the percentage change in current gain in common-emitter configuration (\beta) is approximately

Options

  1. A1%1\%
  2. B10%10\%
  3. C26%26\%
  4. D50%50\%

Correct answer

C. 26%26\%

Step-by-step solution

The relation between common-emitter current gain β\beta and common-base current gain α\alpha is given by β=α1−α\beta = \dfrac{\alpha}{1 - \alpha}.

For the initial state, α1=0.95\alpha_1 = 0.95.

β1=0.951−0.95=0.950.05=19\beta_1 = \dfrac{0.95}{1 - 0.95} = \dfrac{0.95}{0.05} = 19

For the final state, α2=0.96\alpha_2 = 0.96.

β2=0.961−0.96=0.960.04=24\beta_2 = \dfrac{0.96}{1 - 0.96} = \dfrac{0.96}{0.04} = 24

The change in current gain is Δβ=β2−β1=24−19=5\Delta\beta = \beta_2 - \beta_1 = 24 - 19 = 5.

The percentage change in β\beta is Δββ1×100=519×100≈26.31%\dfrac{\Delta\beta}{\beta_1} \times 100 = \dfrac{5}{19} \times 100 \approx 26.31\%.

Thus, the percentage change is approximately 26%26\%.

Answer: 26%26\%
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