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GATE EC: 2018 Mini Mock 13
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Question 1
What is directional derivative of ∅ =xy2 + yz3 at P(2,-1,1) in the direction of a normal to the surface x log z - y2 = -4 at A(-1, 2, 1) ?
Question 2
region 1, Z<0 and region 2, Z>0 are both perfect dielectrics. A uniform plane wave traveling in the 
direction has a frequency of 
.Its Wavelength in two regions are 
On the boundary the reflected energy is: -
direction has a frequency of .Its Wavelength in two regions are On the boundary the reflected energy is: - Question 3
An 8 bit DAC an output voltage of 2.0 V for input code of 1111 0001. The voltage of Vo for input code of 11110111 would be
Question 4
MOD count of program counter in INTEL 8085 is __________.
Question 5
The digital multimeter having 10 V range with calibration at 23 ºC ±5 ºC expects signal of 7V. The accuracy specifications for these conditions state ±(20ppm of reading + 6 ppm of range). What will be the accuracy of multimeter.
Question 6
The transistor used has β0 = 100, rπ = 1KΩ and r0 = ∞
given i(t) = 200Hz, square wave , determine the percentage tilt in the output?
given i(t) = 200Hz, square wave , determine the percentage tilt in the output?
Question 7
The output signal-to-quantization-noise ratio of a 10-bit PCM was found to be 30 dB. The desired SNR is 42 dB. It can be increased by increasing the number of quantization level. In this way the fractional increase in the transmission bandwidth would be (assume 
)
) Question 8
Consider the CMOS circuit given below,
The Boolean expression for Y is
The Boolean expression for Y is
Question 9
In a series RLC circuit at resonance, the magnitude of the voltage developed across the capacitor
Question 10
A plane wave propagating in free space with electric field
V/m
Is incident on a dielectric slab
with 
The angle of transmission is
V/m Is incident on a dielectric slab
with The angle of transmission is Question 11
For what value of shunt capacitance (in μF), the following constant ‘k’ band rejection filters with characteristic impedance 100 ohms will stop signals within the range of 1 kHz to 3 kHz?
Question 12
A signal m(t) is shown in figure given below the signal is once used to frequency modulate a carrier and the next time to phase modulate the same carrier.
The relationship between Kp and Kf such that the maximum phase of the modulated signal in both cases are equal is
The relationship between Kp and Kf such that the maximum phase of the modulated signal in both cases are equal is
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