Suppose there are two planets, 1 and 2, having the same density, but their radii are R₁ and R₂ respectively, where R₁ > R₂. The accelerations due to gravity on the surface of these planets are related as

The sun is seen little before it rises and for a short while after it sets. This is because of

The figure shown below gives the time (t) versus position (x) graph of three objects A, B and C. Which one of the following is the correct relation between their speeds v_A, v_B and v_C, respectively at any instant (t > 0) ?

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1 dyne (a unit of force in CGS system) equals to