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JEE Main 2002

Exam: JEE Main
Year: 2002
Subject: Physics
Chapter: Motion in One Dimension

JEE Main 2002 · Physics · Motion in One Dimension

From a building two balls A and B are thrown such that A is thrown...

From a building two balls

\mathrm{A}

and

\mathrm{B}

are thrown such that

\mathrm{A}

is thrown upwards

\mathrm{A}

and

\mathrm{B}

downwards (both vertically). If

\mathrm{v}_{\mathrm{A}}

and

\mathrm{v}_{\mathrm{B}}

are their respective velocities on reaching the ground, then

Options

A $\mathrm{V}_{\mathrm{B}}>\mathrm{V}_{\mathrm{A}}$
B $\mathrm{V}_{\mathrm{A}}=\mathrm{V}_{\mathrm{B}}$
C $\mathrm{V}_{\mathrm{A}}>\mathrm{V}_{\mathrm{B}}$
Dtheir velocities depend on their masses

Correct answer

B. $\mathrm{V}_{\mathrm{A}}=\mathrm{V}_{\mathrm{B}}$

Step-by-step solution

As the ball moves down from height '

h

' to ground the P.E at height '

h

' is converted to K.E. at the ground (Applying Law of conservation of Energy) Hence,

\frac{1}{2} m_A v_A^2=m_A g h_A

or

v_A=\sqrt{2 g h_A}

; Similarly,

v_B=\sqrt{2 g h}

or

v_A=v_B

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