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Work Power and Energy question

2014 · Shift 0 · Q71

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JEE Main
Physics
Work Power and Energy
2014 · Shift 0 · Q71

Work Power and Energy question

2014 · Shift 0 · Q71

JEE MainPhysicsWork Power and EnergyMCQ+4 / −1

When a rubber-band is stretched by a distance

x

, it exerts restoring force of magnitude

F = ax + b{x^2}

where

a

and

b

are constants. The work done in stretching the unstretched rubber-band by

L

is :

A
$a{L^2} + b{L^3}$
B
${1 \over 2}\left( {a{L^2} + b{L^3}} \right)$
C
${{a{L^2}} \over 2} + {{b{L^3}} \over 3}$
D
${1 \over 2}\left( {{{a{L^2}} \over 2} + {{b{L^3}} \over 3}} \right)$

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