Question

If amplitude of particle executing SHM is doubled,which of the following quantities are doubled
a) Time period
b) Maximum velocity
c) Maximum acceleration
d) Total energy

• A. b and c
• B. a, b and
• C. a and c
• D. a, b, c and d

Answer 1

The correct option is A b and c

Time period $T=2\pi \sqrt{\frac{l}{g}}$ is independent of A.
velocity $V=A\omega$
acceleration $a=A{\omega }^2$
Total energy is $\frac{1}{2}m{\omega }^2{A}^2=\frac{1}{2}K{A}^2$
$\therefore$ by doubling $A,V$ and $a$ are doubled