(24) A signal of maximum frequency of 1 KHz is sampled at Nyquist Rate.The interval between two successive sa?

Question

(24) A signal of maximum frequency of 1 KHz is sampled at Nyquist Rate. The interval between two successive samples is:
(a) 50 micro seconds (b) 100 micro seconds
(c) 500 micro seconds (d) 1000 micro seconds

Answer 1

Frequency(f) = 1Khz = 1000 Hz



The time interval between successive samples is referred to as the sampling interval(T)



T = 1/f

T = 1/(1000) [Note: 1 Hertz = 1 Second]

=> T = 10^(-3) = .001 Second

=> T = 1000 Microseconds



T = 1000µs (Option d)



(This question should have been asked in the Physics section. Wrongly asked in Maths Section)

Answer 2

option c

because sampling interval is calculated upon sampling frequency(fs) and here according to sampling theorem, fs is 2*f=2*1000 hz

so sampling interval=1/2000 =500 microseconds

Answer 3

5/9 of the radius of the Earth. it is assuming that factors are chosen randomly in accordance to here set of rules: We take a cube which precisely encloses the Earth and choose factors uniformly from interior that cube. If the factor chosen is outdoors the Earth, it is rejected and this technique is repeated till a factor interior or on earth is chosen. it is the 1st factor. This technique is repeated interior the comparable thank you to decide on the 2nd factor.