Answer:
Total number of lamps will be 4
Step-by-step explanation:
We have given power of the lamp W = 400 watt
Potential difference across the lamp V=110 volt
We know that power is equal to
![P=VI](https://img.qammunity.org/2021/formulas/physics/high-school/okla20ufr4hhfjvdf5w1ammza1uw0hnaju.png)
So
![400=110* I](https://img.qammunity.org/2021/formulas/physics/college/fj4w9l7pzn3f4tdovxdeemsv6t05bcjhh9.png)
![I=3.636A](https://img.qammunity.org/2021/formulas/physics/college/h2dduj0wurjmvwrptlt9sw2zhpt97ei43p.png)
Total current is given 15 A
As it is given that lamps are connected in parallel so total current is the sum of current through each lamp
So number of lamp will be
![n=(15)/(3.636)=4.125](https://img.qammunity.org/2021/formulas/physics/college/39ukmyeufcw61k12jwy7qpbw8k1h7m7yj9.png)
As the lamp can not be in negative
So total number of lamps will be 4