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The continuous-time unit impulse signal is applied as an input to a continuous-time linear time-invariant system 
. The output is observed to be the continuous-time unit step signal 
. Which one of the following statements is true?
Every bounded input signal applied to results in a bounded output signal.
It is possible to find a bounded input signal which when applied to results in an unbounded output signal.
On applying any input signal to , the output signal is always bounded.
On applying any input signal to the output signal is always unbounded.
Given
Since the unit impulse input produces output as u(t). Hence u(t) is the impulse response of the system.
For input 
(bounded signal),
Any signal convolved with , gives its running integral,
Thus, every bounded signal does not produces every bounded o/p signal
h(t) = u(t) is not an absolutely integrable signal
Hence, the system is not BIBO stable so it can produce unbounded output for bounded input
Hence, option (b) is correct.