GATE 2022 Toppers Quiz 14

The mean value C of Cauchy’s theorem for the functions and in the interval [2, 3] is

If A_3×3 is any real matrix such that lAl = 24, trace of ‘A’ = 9 and one of the eigen values is ‘2’ then trace of Adj A = _____?

The magnetic field intensity in a region is , the current density in A/m² at a point (1, 2, 3) is

Find the numbers a, b, c between 2 and 18 such that

I. their sum is 25,

II. the numbers 2, a, b are consecutive terms of an A.P. and

III. The numbers b, c, 18 are consecutive terms of a G.P.

Consider an angle modulated signal with phase modulation as follows

Assume . Find the bandwidth (in kHz) when is doubled.

An analog signal of bandwidth 20kHz is sampled at a rate of 40kHz, and quantized into 16 levels. The resultant digital signal is transmitted using M-ary PSK with raised cosine pulse(with α = 0.3). A channel with a 110 kHz bandwidth is available to transmit the data. Then find the smallest acceptable value of number of phase angles.

Consider the two diode circuit shown in the figure below:

The diodes D₁ and D₂ can be modelled as a constant voltage source of 0.7 V, when forward biased. The value of current flowing through diode D₁ is equal to I_D1, then the value of current I_D1 is equal to ______ mA

If the transistors in Fig. have high values of β and a V_BE of 0.65 Volts, the current I flowing through 2kΩ resistance is