Instrumentation Engineering
GATE IN kind:question PYQs
Build your understanding with focused practice from past exam papers.
Questions 581–590 of 650. Imported answers require independent review unless marked reviewed.
Question 51
Open questionINNAT2 marksNeeds review
A 100 Ω strain gage (R₉) has a gage factor of 2.5. It is connected in the bridge as shown in figure. The strain gage is subjected with a positive strain of 400 μm/m. The output Vₒ (in mV) of the bridge is (up to two decimal places) _____.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 52
Open questionINNAT2 marksNeeds review
Assuming ideal opamp, the RMS voltage (in mV) in the output Vₒ only due to the 230 V, 50 Hz interference is (up to one decimal place) _____.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 53
Open questionINNAT2 marksNeeds review
The sampling rate for Compact Discs (CDs) is 44,000 samples/s. If the samples are quantized to 256 levels and binary coded, the corresponding bit rate (in bits per second) is _____.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 54
Open questionINNAT2 marksNeeds review
A Michelson Interferometer using a laser source of wavelength λ₀ = 500 nm, with both the mirrors (M₁ & M₂) fixed and positioned equidistant from the splitter/combiner is shown in the figure. When a dielectric plate of refractive index n = 1.5, of thickness t, is placed in front of the mirror M₂, a dark fringe is observed on the detector. If the dielectric plate is removed without changing the position of the mirrors M₁ & M₂, a bright fringe is observed on the detector. The minimum thickness t (in nm) of the dielectric is _______.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 55
Open questionINNAT2 marksNeeds review
A multi-mode optical fiber with a large core diameter has a core refractive index n₁ = 1.5 and cladding refractive index n₂ = 1.4142. The maximum value of θₐ (in degrees) for which the incident light from air will be guided in the optical fiber is ±_____.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 1
Open questionINNAT1 markNeeds review
If v is a non-zero vector of dimension
, then the matrix
has a rank = ________Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 2
Open questionINMCQ1 markNeeds review
The figure shows a shape ABC and its mirror image A₁B₁C₁ across the horizontal axis (X-axis). The coordinate transformation matrix that maps ABC to A₁B₁C₁ is
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 3
Open questionINMCQ1 markNeeds review
Let
where
. Then
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 4
Open questionINMCQ1 markNeeds review
The eigenvalues of the matrix
areYour answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 5
Open questionINMCQ1 markNeeds review
For a first order lowpass filter with unity d.c. gain and
dB corner frequency of
rad/s, the transfer function
isYour answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer