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Question: Photons absorbed in matter are converted to heat. A source emitting n photons per second of frequenc...

Photons absorbed in matter are converted to heat. A source emitting n photons per second of frequency is used to convert 1 kg of ice at 00 C to water a 00C . Then th time T taken for the conversion :

A

Decease with increasing n, with fixed.

B

Decreases with n fixed,increasing .

C

Remains constant with n andchanging such that n=constant.

D

All of these.

Answer

All of these.

Explanation

Solution

: Energy spent to convert ice into water

=mL=(1000 g)×80calg1=80000cal= m L = ( 1000 \mathrm {~g} ) \times 80 \mathrm { cal } \mathrm { g } ^ { - 1 } = 80000 \mathrm { cal }

Energy of photons used

T1/vT \propto 1 / v when n fixed, thus t is constant if is constant. Thus options (1), (2) and (3) are correct