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A zero mean random signal is uniformly distributed between limits -a and +a and its mean square value is equal to its variance. Then the r.m.s value of the signal is

1. a/√3
2. a/√2
3. a√2
4. a√3

Correct answer: a/√3

Solution

The root mean square (r.m.s) value of a uniformly distributed signal between -a and +a is calculated as the square root of the mean of the squares of the values. For a uniform distribution, this results in an r.m.s value of a/√3, which is derived from the integral of the square of the distribution over its range.

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