Photons absorbed in matter are converted to heat. A source emitting n photons/ sec of frequency `nu` is used to convert 1kg of ice at `0^(@)C` to water at `0^(@)C`. Then, the time T taken for the conversion

Options

A. decreases with increasing n, with v fixed
B. decreases with n fixed, v increasing
C. remains constant with n and b changing such that nv= constant
D. increases when the product nv increases

Explanation

To solve the problem of determining the time \( T \) taken to convert 1 kg of ice at \( 0^\circ C \) to water at \( 0^\circ C \) using a source emitting \( n \) photons per second of frequency \( \nu \), we can follow these steps:

### Step 1: Understand the Energy Required
The energy required to convert ice to water at constant temperature is given by the latent heat of fusion. The latent heat of fusion for ice is approximately \( 80 \, \text{cal/g} \).

For 1 kg of ice, we convert it to grams:
\[
\text{Mass} = 1 \, \text{kg} = 1000 \, \text{g}
...