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Given that displacement of a particle is given by x=A²sin²kt where t denotes the time. The unit of k is..........................

Given that displacement of a particle is given by x=A²sin²kt where t denotes the time. The unit of k is..........................

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Grade:11

2 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
4 years ago
Dear student

Sin ( theta)

Theta is angle its a dimension less quantity
k*t is theta to make it dimensionless

K = 1/time ie 1/second

Ie hertz unit for frequency

Regards
Arun
25750 Points
4 years ago
Dear student
 
it matches with sin wt
hence unit of k is same as unit of w = rad/sec
 
Hope it helps
 
Regards
Arun

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