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  • Need explanation for: The escape velocity of a body depends upon mass as :

The escape velocity of a body depends upon mass  as :

  • Option 1)

    m^{0}

  • Option 2)

    m^{1}

  • Option 3)

    m^{2}

  • Option 4)

    m^{3}

 

Answers (2)

As we learnt in 

Escape velocity ( in terms of radius of planet) -

V_{c}=\sqrt{\frac{2GM}{R}}

V_{c}=\sqrt{2gR}

V_{c}\rightarrow Escape velocity

R\rightarrowRadius of earth

- wherein

  • depends on the reference body
  • greater the value of \frac{M}{R} or \left ( gR \right ) greater will be the escape velocity V_{e}=11.2Km/s  For earth

 

 Escape velocity = \sqrt{2gR}=\sqrt{\frac{2GM_{e}}{R}}

V_{e} \propto m^{o}


Option 1)

m^{0}

This option is correct.

Option 2)

m^{1}

This option is incorrect.

Option 3)

m^{2}

This option is incorrect.

Option 4)

m^{3}

This option is incorrect.

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