Home Physics Simple Harmonic Motion (Oscillations) MHT CET Previous Year Question Consider two SHMs along the same straight li…
Physics Simple Harmonic Motion (Oscillations) MHT CET Previous Year Question MCQ (Single Correct)

Consider two SHMs along the same straight line , where and are their amplitudes and and are their initial phase angle. If the two SHMs meet simultaneously and ' ' is the resultant amplitude, match column I with column II.

Column-I

Column-II

A.

The two SHMs are in

phase, A1=A2=A

I.

B.

The two SHMs are in

phase, A1≠A2

II.

C.

The two SHMs are 90

out of phase, A1=A2=A

III.

D.

The two SHMs are 180

out of phase, A1=A2

IV.

A
A-III, B-I, C-IV, D-II
B
A-IV, B-III, C-II, D-I
C
A-I, B-III, C-II, D-IV
D
A-III, B-IV, C-I, D-II

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Text Solution

Verified by Experts
The correct answer is:
A

where are amplitudes of two SHM's and are phase angle.

Resultant amplitude,

(i) When two SHM's are in phase, , then from equation (i)

(ii) When two SHM's are in phase but , then

(iii) When to SHMs are out of phase, then

(iv) When two SHMs are out of phase and ,

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