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Question 27

Match List - I with List - II. 

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Choose the correct answer from the options given below :

1. $$E = \frac{3}{2} k_B T$$

Dimensions: $$[ML^2T^{-2}] \cdot [K^{-1}] = \mathbf{[ML^2T^{-2}K^{-1}]}$$

2. $$I = \sigma T^4$$

Units: $$J/(s \cdot m^2 \cdot K^4) = [ML^2T^{-2}] / [T \cdot L^2 \cdot K^4] = \mathbf{[MT^{-3}K^{-4}]}$$

3. $$E = h\nu$$

Dimensions: $$[ML^2T^{-2}] \cdot [T] = \mathbf{[ML^2T^{-1}]}$$

4. $$F = G \frac{m_1 m_2}{r^2}$$

Units: $$(N \cdot m^2) / kg^2 = ([MLT^{-2}] \cdot L^2) / M^2 = \mathbf{[M^{-1}L^3T^{-2}]}$$

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