Question

2. A particle executing SHM crosses
points A and B with the same velocity.
Having taken 3 s in passing from A to
B, it returns to B after another 3 s. The
time period is
a) 15 s
b) 6 s
c) 12 s
d) 9 s​

Answer 1

$\huge\underline{\underline{\bf \green{Question-}}}$

A particle executing SHM crosses points A and B with the same velocity. Having taken 3 s in passing from A to B, it returns to B after another 3 s. The time period is

$\huge\underline{\underline{\bf \green{Solution-}}}$

$\large\underline{\underline{\sf Given:}}$

• Time taken to go from A to B is = 3s
• Time taken to return to B is = 3s

$\large\underline{\underline{\sf To\:Find:}}$

• Time period ( T ).

✪${\boxed{\bf \blue{T= 2(Time\:taken\:to\:go\: from\:A\:to\:B+Next\:time\:to\:return\:to\:B)}}}$

$\implies{\sf T= 2(3+3)}$

$\implies{\sf T=2×6}$

$\implies{\bf \red{T=12\:s}}$

$\huge\underline{\underline{\bf \green{Answer-}}}$

The Time period is ${\bf \red{12\:s}}$