A spherical black body with a radius of 12 cm radiates 450 W power at 500 K . If the radius is halved and the temperature is doubled, then the power dissipated by the sphere is

Question

A spherical black body with a radius of 12 cm radiates 450 W power at 500 K . If the radius is halved and the temperature is doubled, then the power dissipated by the sphere is, 3600 W, 450 W, 900 W, 1800 W

MARKS App · Accepted Answer

Initially, the power dissipated by the sphere is P = σ 500 4 × 4 π 12 2 Later, the power dissipated by the sphere is P ' = σ 1000 4 × 4 π 6 2 P ' P = σ 1000 4 × 4 π 6 2 σ 500 4 × 4 π 12 2 ⇒ P ' = 1800 W

Search any question & find its solution

Looking for more such questions to practice?