⚛️ Physics · Units and Measurements · NEET & JEE

The escape velocity from a planet is assumed to depend only on surface gravity g and radius R. Dimensional analysis gives escape velocity proportional to:

Answer: √(gR).

A √(g/R)
B gR
C √(gR)
D g√R

Correct answer: C. √(gR)

Explanation: Setting [L T^-1] = [L T^-2]^a[L]^b gives a = 1/2, b = 1/2, so v is proportional to √(gR).

The 7 SI base units. All derived units (newton, joule, watt, volt, etc.) can be expressed as combinations of these 7 fundamental units raised to various powers.

Concept context

SI base units, dimensional analysis, significant figures, and error propagation. The toolkit every physics calculation relies on.

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The escape velocity from a planet is assumed to depend only on surface gravity g and radius R. Dimensional analysis gives escape velocity proportional to:

Concept context

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