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Standard XII

Physics

Ropes

The displacem...

Question

The displacement of an oscillating particle varies with time 't' (in seconds) according as x = 2 cos(0.5 $π$ t ) metre. Then amplitude and time period are :

1 m, 4 s

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2 m, 4 s

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2 m, 2 s

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1 m, 2 s

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Solution

The correct option is B 2 m, 4 s
$x = A$ cos $ω t$
Amplitude $=$ 2m
$w = 0.5 π$ ; $T = \frac{2 π}{0.5 π} = 4 s e c$

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The displacement of an oscillating particle varies with time 't' (in seconds) according as x = 2 cos(0.5π t ) metre. Then amplitude and time period are :

The correct option is B 2 m, 4 sx=A cos ωtAmplitude =2mw=0.5π ; T=2π0.5π=4sec

The displacement of an oscillating particle varies with time 't' (in seconds) according as x = 2 cos(0.5 $π$ t ) metre. Then amplitude and time period are :

The correct option is B 2 m, 4 s
$x = A$ cos $ω t$
Amplitude $=$ 2m
$w = 0.5 π$ ; $T = \frac{2 π}{0.5 π} = 4 s e c$