Solutions for SHM objective questions

1. (d)
Hint Substitute the values in energy equation

2. (b)
Hint
PE=(1/2)mw²x²
E=(1/2)mw²A²

3.(c)
Hint
T=2π√m/K
For first case
K^'=K
For second case
K^'=K/2

4.(d)
For mass at position 1 and spring system
KE=1/2mv²
PE=1/2kx²
For mass at position 2
KE=1/2mv²
PE=-mgx
Total energy of the system
E=mv²+1/2kx²-mgx

5.(b)

6.(a)
Hint parallel connection of two capacitors is electrical analogue

7.(c)
Hint
v=√2gh

8.(d)

9. (c)