Two particles oscillating in SHM along two very close parallel pa… - Vidyadip

MCQ

Two particles oscillating in $SHM$ along two very close parallel path such that they have same mean position. The equation of $SHM$ of two particles are $x_1 = A\, sin\,\omega t$ and $x_2 = A\,sin(\omega t + \phi )$ respectively. If maximum distance between them is $\frac{6A}{5}$ then $\phi $ equal to ..... $^o$

A
$60$
B
$37$
✓
$74$
D
$90$

✓

Answer

Correct option: C.

$74$

c
$\sin \frac{\phi}{2}=\frac{3}{5}$

$\phi=74^{\circ}$

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