A pulse of light of duration 100 ns is absorbed completely by a small object initially at rest. Power of the pulse is 30mWand the speed of light is 3×108m/s. The final momentum of the object is:
0.3×10−17kgms−1
1.0×10−17kgms−1
3.0×10−17kgms−1
9.0×10−17kgms−1
A
3.0×10−17kgms−1
B
0.3×10−17kgms−1
C
1.0×10−17kgms−1
D
9.0×10−17kgms−1
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Solution
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Sol.(B) t=100×10−9sec,P=30×10−3Watt,
C=3×108m/s
Incident energy =Pt
By debroglie wavelength, λ=h/p
and Energy of photon is E=hc/λ
From above two equations, E=pc
Momentum p=PtC=30×10−3×100×10−93×108=1.0×10−17 kg ms−1
So, the answer is option (B).
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