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Q.

The energy required to melt 1g. ice is 33J. The number of quanta of radiation of frequency
4.67 × 1013 sec–1 that must be absorbed to melt 10g ice is:

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a

9.076 × 1020

b

3.205 × 1023

c

None

d

1.065 × 1022

answer is A.

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Detailed Solution

Energy required to melt 1g ice =33J.

Energy required to melt 10g ice =33×10=330J.

Radiation frequency (ν)=4.67×1013s−1
 

As we know, the energy of radiation is given by:

E=hν

Here, h= Planck's constant =6.62×10−34J.s

∴E=6.62×10 −34×4.67×1013
 

⇒E=3.09×10 -20J

∴ No. of quanta required =3303.09 ×10-20=1.067×1022

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