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Standard XI

Physics

Spring Block's Time Period

A block of ma...

Question

A block of mass $m$ is oscillating with ideal spring of spring constant $K$ . When the block crosses its mean position with speed $v_{o}$ , electric field in left direction is switched on, then

Time period increases

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Amplitude remains same

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Time period remains same

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Time period decreases

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Solution

The correct option is C Time period remains same
$F_{r e s t o r i n g} = K x$ {due to $F = Q E$ , mean positions shifts but restoring force is $K x$ }
$m ω^{2} x = K x$
$ω^{2} = K / m \Rightarrow T = 2 π \sqrt{\frac{m}{K}}$
Time period is independent of the presence of electeic field.

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A block of mass m is oscillating with ideal spring of spring constant K. When the block crosses its mean position with speed vo, electric field in left direction is switched on, then

The correct option is C Time period remains sameFrestoring=Kx {due to F=QE, mean positions shifts but restoring force is Kx} mω2x=Kx ω2=K/m⇒T=2π√mK Time period is independent of the presence of electeic field.

A block of mass $m$ is oscillating with ideal spring of spring constant $K$ . When the block crosses its mean position with speed $v_{o}$ , electric field in left direction is switched on, then

The correct option is C Time period remains same
$F_{r e s t o r i n g} = K x$ {due to $F = Q E$ , mean positions shifts but restoring force is $K x$ }
$m ω^{2} x = K x$
$ω^{2} = K / m \Rightarrow T = 2 π \sqrt{\frac{m}{K}}$
Time period is independent of the presence of electeic field.