Q24

A keyboard connected to a computer is used at a rate of $1$ keystroke per second. The computer system polls the keyboard every $10 \mathrm{~ms}$ (milli seconds) to check for a keystroke and consumes $100\; \mu \mathrm{s}$ (micro seconds) for each poll. If it is determined after polling that a key has been pressed, the system consumes an additional $200\; \mu \mathrm{s}$ to process the keystroke. Let $T_{1}$ denote the fraction of a second spent in polling and processing a keystroke. In an alternative implementation, the system uses interrupts instead of polling. An interrupt is raised for every keystroke. It takes a total of $1 \mathrm{~ms}$ for servicing an interrupt and processing a keystroke. Let $T_{2}$ denote the fraction of a second spent in servicing the interrupt and processing a keystroke. The ratio $\dfrac{T_{1}}{T_{2}}$ is _____________. (Rounded off to one decimal place)