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  3. >>Dual Nature of Radiation and Matter
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Dual Nature Of Radiation And Matter

Physics
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JEE MainsJEE AdvancedNEETAIIMSBITSATEasy QsMed QsHard Qs
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The allowed energy for the particle for a particular value of n is proportional to :

A
a−2
B
a−3/2
C
a−1
D
a2
Hard
JEE Advanced
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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:

A
0.3×10−17kgms−1
B
1.0×10−17kgms−1
C
3.0×10−17kgms−1
D
9.0×10−17kgms−1
Hard
JEE Advanced
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The speed of the particle that can take discrete values is proportional to

A
n−3/2
B
n−1
C
n1/2
D
n
Hard
JEE Advanced
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Light of wavelength λph​ falls on a cathode plate inside a vacuum tube as shown in the figure. The work function of the cathode surface is ϕ and the anode is a wire mesh of conducting material kept at a distance d from the cathode. A potential difference V is maintained between the electrodes. If the minimum de Broglie wavelength of the electrons passing through the anode is λe​, which of the following statement(s) is(are) true?

A
λe​ increases at the same rate as λph​ for λph​<hc/ϕ
B
λe​ is approximately halved, if d is doubled
C
λe​ decreases with increase in ϕ and λph​
D
For large potential difference (V>>ϕ/e)λe​ is approximately halved if V is made four time
Hard
JEE Advanced
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