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Simple Harmonic Oscillation

Statement 1: ...

Question

Statement 1: $v = u + a t$ can be used as an equation for SHM.
Statement 2: Acceleration in SHM is variable.

Statement 1 is true, statement 2 is false

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Statement 1 is false, statement 2 is true

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Statement 1 and statement 2 are true

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Statement 1 and statement 2 are false

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Solution

The correct option is B Statement 1 is false, statement 2 is true
A particle executing simple harmonic motion follows
$a = - ω^{2} x$
Where $a$ is variable, function of $x$
In $v = u + a t, a$ is necessarily be a constant
$∴ v = u + a t$ cannot be used as an equation for SHM.

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Similar questions

Q. Statement 1:

v = u + a t

can be used as an equation for SHM.
Statement 2: Acceleration in SHM is variable.

Q. Statement 1:

v = u + a t

can be used as an equation for SHM.
Statement 2: Acceleration in SHM is variable.

A body is moving with an initial velocity of $u$ and having constant acceleration $a$ . The final velocity $v$ can be obtained by using which of the following equation of motion if a body covers a distance $s$ .

Q. The third equation of motion

(v^{2} - u^{2} = 2 a s)

can be derived using first two equations of motion

(v = u + a t

and

s = u t + \frac{1}{2} a t^{2})

Derive following equations for a uniformly accelerated motion :

(i) v=u+at

(ii) $S = u t + \frac{1}{2} a t^{2}$

(iii) $v^{2} = u^{2} + 2 a S$

where the symbols have their usual meanings.

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Simple Harmonic Oscillation

Standard XIII Physics

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Statement 1: v=u+at can be used as an equation for SHM. Statement 2: Acceleration in SHM is variable.

The correct option is B Statement 1 is false, statement 2 is trueA particle executing simple harmonic motion follows a=−ω2x Where a is variable, function of x In v=u+at,a is necessarily be a constant ∴v=u+at cannot be used as an equation for SHM.

Statement 1: $v = u + a t$ can be used as an equation for SHM.
Statement 2: Acceleration in SHM is variable.

The correct option is B Statement 1 is false, statement 2 is true
A particle executing simple harmonic motion follows
$a = - ω^{2} x$
Where $a$ is variable, function of $x$
In $v = u + a t, a$ is necessarily be a constant
$∴ v = u + a t$ cannot be used as an equation for SHM.