Two bodies with kinetic energies in ratio of 4 : 1 are moving with equal linear momentum. ratio of t

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5.Work, Energy, Power and Collision

easy

Two bodies with kinetic energies in the ratio of $4 : 1$ are moving with equal linear momentum. The ratio of their masses is

A

$1:2$

B

$1:1$

C

$4:1$

D

$1:4$

(AIPMT-1999)

Solution

(d)$E = \frac{{{p^2}}}{{2m}}$
$m \propto \frac{1}{E}$ (If momentum are constant)
$\frac{{{m_1}}}{{{m_2}}} = \frac{{{E_2}}}{{{E_1}}} = \frac{1}{4}$

Standard 11

Physics

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