Terminal velocity of Mars rover depends upon P = gas density of atmosphere of mars A = frontal area W = weight of falling object What may be the possible relation between terminal velocity v and given quantity.
A
v=wpA
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B
v=√wpA
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C
v=√pAw
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D
v=√pA3w
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Solution
The correct option is Bv=√wpA v=pxAywz (x, y, z → unknown) ⇒LT−1=(ML−3)x(L2)y(MLT−2)z MoL1T−1=Mx+zL−3x+2y+zT−2z Power of M → x + z =0 Power of T → -2z = -1 Power of L → -3x + 2y + z =1