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GATE 2026 BM – Question 57

Sensors and Bioinstrumentation · Sensors and Signal Conditioning · 2 marks · Numerical answer

A 532 nm laser fully illuminates a photodiode in series with 10 kΩ. Responsivity at this wavelength is 0.5 A/W, voltage across the resistor is 10 mV, and dark current is zero. Find incident laser power in μW to one decimal place.

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Correct answer: 2.0 to 2.0

Explanation

Photocurrent is I=V/R=0.010/10000=10⁻⁶ A, or one microampere. Responsivity equals current divided by optical power, so P=I/0.5=2×10⁻⁶ W=2.0 μW. The wavelength only identifies which supplied responsivity to use.

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