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Q.

If two S.H.M are represented by equations Y1=10sin 3πt+π4 and Y2=5[sin (3πt)+3cos (3πt)] . The ratio of their amplitudes is

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a

1:2

b

2 : 1

c

1 : 2

d

1 : 1

answer is C.

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Detailed Solution

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Y1=10sin 3πt+π4

Y2=5[sin (3πt)+3cos (3πt)]

=1012sin 3πt+32cos 3πt

=10 sin 3πt+π3

 A1:A2=1:1   

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If two S.H.M are represented by equations Y1=10sin 3πt+π4 and Y2=5[sin (3πt)+3cos (3πt)] . The ratio of their amplitudes is