Verified Solution • 2025–26 Session moderate

QAIPMT-2010-Ph-2048: NEET 2010 Physics - Class 11 AIPMT-2010-Ph-2048 Solution: A transverse wave is represented by \(y = A ( t - kx)\). For…

A transverse wave is represented by y=Asin⁡(ωt−kx)y = A\sin(\omega t - kx). For what value of the wavelength is the wave velocity equal to the maximum particle velocity? πA/2\pi A/2 πA\pi A 2πA2\pi A A

Multiple Choice Options

  • A σr2T4R2{{\sigma {r^2}{T^4}} \over {{R^2}}} R 2 _ r 2 T 4 _
  • B σr2T44πR2{{\sigma {r^2}{T^4}} \over {4\pi {R^2}}} 4 � R 2 _ r 2 T 4 _
  • C σr2T4R4{{\sigma {r^2}{T^4}} \over {{R^4}}} R 4 _ r 2 T 4 _
  • D 4πσr2T4R2{{4\pi \sigma {r^2}{T^4}} \over {{R^2}}} R 2 4 �_ r 2 T 4 _

Step-by-Step Verified Solution

According to the Stefan Boltzmann law, the power radiated by the star whose outer surface radiates as a black body at temperature T K is given by P = _ 4 � r 2 T 4 where, r = radius of the star _ = Stefan�s constant The radiant power per unit area received at a distance R from the centre of a star is S = P 4 � R 2 = _ 4 � r 2 T 4 4 � R 2 = _ r 2 T 4 R 2

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