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Narayan Ramesh Ben
Asked: 2022-11-08T12:56:14+05:30 In:

The displacement `y` of a particle executing periodic motion is given by `y = 4 cos^(2) ((1)/(2)t) sin(1000t)`
This expression may be considereed to be a result of the superposition of
A. (a) two
B. ( b ) three
C. ( c ) four
D. (d) five

The displacement `y` of a particle executing periodic motion is given by `y = 4 cos^(2) ((1)/(2)t) sin(1000t)`
This expression may be considereed to be a result of the superposition of
A. (a) two
B. ( b ) three
C. ( c ) four
D. (d) five
Parabola
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  1. Correct Answer – B
    (b) `y = 4cos^(2) ((t)/(2)) sin(1000t) = 2(2cos^(2)(t)/(2)sin1000t)`
    `= 2[cos t + 1]sin 1000t`
    `= 2cos t sin 1000t + 2 sin 1000t`
    `= sin 1000t + sin 999t + 2 sin 1000t`

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Mustafa Gole
Asked: 2022-11-02T12:29:42+05:30 In:

The displacement `y` of a particle executing periodic motion is given by `y = 4 cos^(2) ((1)/(2)t) sin(1000t)`
This expression may be considereed to be a result of the superposition of
A. two
B. three
C. four
D. five

The displacement `y` of a particle executing periodic motion is given by `y = 4 cos^(2) ((1)/(2)t) sin(1000t)`
This expression may be considereed to be a result of the superposition of
A. two
B. three
C. four
D. five
Parabola
Leave an answer

Leave an answer

Browse

1 Answer

  1. Correct Answer – B
    `y = 4 cos^(2)((t)/(2)) sin 1000 t`
    ` = 2( 1 + cos t) sin 1000 t`
    ` = 2 sin 1000 t + 2 cos t sin 1000 t`
    ` = 2 sin 1000 t + sin (1000 t + t) + sin (1000 t – t)`
    `= 2 sin 1000 t + sin 1001 t + sin 999 t`
    ` = y_(1) + y_(2) + y_(3) = Three waves `

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