A body executing SHM has a total energy E- When its kinetic energy is 3E4 - the displacement of the particle is a is amplitude -

The correct option is A a/2 #10; #10; #10; #9; #10; #9; #10; #9; #10; #9; #10; #10; #10; K=E U=3E4 ⇒ #10;U=E4=14(12K ...

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Standard XII

Physics

Kinetic Energy Formulae

A body execut...

Question

A body executing SHM has a total energy E. When its kinetic energy is $\frac{3 E}{4}$ , the displacement of the particle is ( a is amplitude ):

a

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a / 2

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\sqrt{\frac{3 a}{2}}

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\frac{3 a}{4}

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Solution

The correct option is A $a / 2$

$K = E - U = \frac{3 E}{4}$
$\Rightarrow U = \frac{E}{4} = \frac{1}{4} (\frac{1}{2} K a^{2})$
$= \frac{1}{2} K (\frac{a}{2})^{2}$
$∴ x = \frac{a}{2}$

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A body executing SHM has a total energy E. When its kinetic energy is 3E4 , the displacement of the particle is ( a is amplitude ):

The correct option is A a/2 K=E−U=3E4⇒U=E4=14(12Ka2)=12K(a2)2∴x=a2

A body executing SHM has a total energy E. When its kinetic energy is $\frac{3 E}{4}$ , the displacement of the particle is ( a is amplitude ):

The correct option is A $a / 2$

$K = E - U = \frac{3 E}{4}$
$\Rightarrow U = \frac{E}{4} = \frac{1}{4} (\frac{1}{2} K a^{2})$
$= \frac{1}{2} K (\frac{a}{2})^{2}$
$∴ x = \frac{a}{2}$