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Question: The period of a particle executing SHM is 8 sec. At t = 0 it is at the mean position. The ratio of t...

The period of a particle executing SHM is 8 sec. At t = 0 it is at the mean position. The ratio of the distances covered by the particle in the 1st second to the 2nd second is :

A

12+1\frac { 1 } { \sqrt { 2 } + 1 }

B

2\sqrt { 2 }

C

12\frac { 1 } { \sqrt { 2 } }

D

2+1\sqrt { 2 } + 1

Answer

2+1\sqrt { 2 } + 1

Explanation

Solution

x = Asin

x1 = Asinπ4\frac { \pi } { 4 } = π2\frac { \pi } { 2 } = A

2\sqrt { 2 } + 1