Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 202330 JanuaryMorning Shift
Exam
JEE Main
Year
2023
Date
30 January
Shift
Morning Shift
Subject
Physics
Chapter
Dual Nature of Matter

JEE Main 2023 · 30 January · Morning Shift · Physics · Dual Nature of Matter

A point source of light is placed at the centre of curvature of a...

A point source of light is placed at the centre of curvature of a hemispherical surface. The source emits a power of 24W24W. The radius of curvature of hemisphere is 10cm10cm and the inner surface is completely reflecting. The force on the hemisphere due to the light falling on it is ______ ×10−8N\times {10}^{- 8}N.A point source of light is placed at the centre of curvature of a hemispherical surface. The source emits a power of

Correct answer

0

Step-by-step solution

A point source of light is placed at the centre of curvature of a hemispherical surface. The source emits a power of

For completely reflecting surface, force, F=2IAcF = \dfrac{2IA}{c}, where, I=PSurfaceareaI = \dfrac{P}{Surfacearea} is intensity of radiation, AA is surface area and cc is speed of light.

F=2IcπR2=2P04πR2πR2cF = \dfrac{2I}{c}\pi{R}^{2} = 2\dfrac{{P}_{0}}{4\pi{R}^{2}}\dfrac{\pi{R}^{2}}{c}

=P02c=242×3×108=4×10−8N= \dfrac{{P}_{0}}{2c} = \dfrac{24}{2 \times 3 \times {10}^{8}} = 4 \times {10}^{- 8}N

Practice Dual Nature of Matter on Quantrex Academy →

More from Dual Nature of Matter

K_1 and K_2 be the maximum kinetic energies of photoelectrons emitted from a surface of a… JEE Main 2026The de Broglie wavelength for an electron accelerated through the potential difference of… JEE Main 2026Given below are two statements: one is labelled as Assertion (A) and the other is… JEE Main 2026An electron is travelling with a velocity v in free space and when it enters a medium… JEE Main 2026An electron of mass m is moving in an electric field E = -2E_0 i ( E_0 = constant > 0 )… JEE Main 2026Light source having wavelength 331 nm is used to generate photo-electrons whose stopping… JEE Main 2026Match the LIST-I with LIST-II List-I List-II A. Planck's constant I. ML^2T^ -2 B.… JEE Main 2026The de Broglie wavelength associated with an electron accelerated through a potential… JEE Main 2026 Full Dual Nature of Matter list All JEE Main PYQs