A 1000 watt radio transmitter operates at a frequency of 880 kilocycle/sec. How many photons per sec does it emit?

Question

**Options:**
- **A.** 2.01 $	imes$ 10^{29}
- **B.** 1.72 $	imes$ 10^{30}
- **C.** 1.51 $	imes$ 10^{29}
- **D.** 1.77 $	imes$ 10^{31}

---
**Difficulty:** EASY | **Chapter:** Atomic Structure | **Topic:** Intro, Dalton's theory, discharge tube & oil drop experiments, Rutherford scattering

Accepted Answer

## ✅ Correct Answer: **B**

### 📖 Detailed Explanation:
**Solution:**

**Given:**
- Power P = 1000 W = 1000 J/s
- Frequency ν = 880 kilocycles/sec = 880 × 10³ Hz

**Energy of one photon:**
E = hν = 6.626 × 10⁻³⁴ × 880 × 10³
E = 5.83 × 10⁻²⁸ J

**Number of photons per second:**
n = Total power / Energy per photon
n = 1000 / (5.83 × 10⁻²⁸)
n = **1.72 × 10³⁰ photons/sec**

**Answer: (B) 1.72 × 10³⁰**

---
*This is an official solution provided by Chem Mantra. For more chemistry questions and solutions, explore our [question bank](/courses).*

A 1000 watt radio transmitter operates at a frequency of 880 kilocycle/sec. How many photons per sec does it emit?

Official Solution

Want More Practice Questions?

Related Topics