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Impulse and Momentum question

2008 · Shift 1 · Q53

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PYQ Library
JEE Advanced
Physics
Impulse and Momentum
2008 · Shift 1 · Q53

Impulse and Momentum question

2008 · Shift 1 · Q53

JEE AdvancedPhysicsImpulse and MomentumMultiple correct+4 / −2

Two balls, having linear momenta

{\overrightarrow p _1} = p\widehat i

and

{\overrightarrow p _2} = - p\widehat i

, undergo a collision in free space. There is no external force acting on the balls. Let

{\overrightarrow {p'} _1}

and

{\overrightarrow {p'} _2}

be their final momenta. The following option(s) is (are) NOT ALLOWED for any non-zero value of

p,{a_1},{a_2},{b_1},{b_2},{c_1}

and

{c_2}

:

A
${\overrightarrow {p'} _1} = {a_1}\widehat i + {b_1}\widehat j + {c_1}\widehat k;{\overrightarrow {p'} _2} = {a_2}\widehat i + {b_2}\widehat j$
B
${\overrightarrow {p'} _1} = {c_1}\widehat k;{\overrightarrow {p'} _2} = {c_2}\widehat k$
C
${\overrightarrow {p'} _1} = {a_1}\widehat i + {b_1}\widehat j + {c_1}\widehat k;{\overrightarrow {p'} _2} = {a_2}\widehat i + {b_2}\widehat j - {c_1}\widehat k$
D
${\overrightarrow {p'} _1} = {a_1}\widehat i + {b_1}\widehat j;{\overrightarrow {p'} _2} = {a_2}\widehat i + {b_1}\widehat j$

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