Final answer:
Lignocaine is the drug that does not increase pulse rate; in contrast to adrenaline and ventolin which do increase the pulse rate, and atropine which can increase it by blocking parasympathetic activity.
Step-by-step explanation:
The drug that does not increase pulse rate is D. lignocaine. Adrenaline, also known as epinephrine, is a potent stimulator of the heart and increases pulse rate and blood pressure. Ventolin, generically known as albuterol (a type of beta-2 agonist), also typically increases pulse rate. Atropine can increase pulse rate by blocking the parasympathetic nervous system, which generally slows the heart rate. Lignocaine (lidocaine in some regions), used primarily as a local anesthetic, does not generally increase the pulse rate and may actually decrease it at higher doses due to its cardiac depressant effects if the drug reaches systemic circulation in significant amounts.