A particle is found to be at rest when seen from a frame S₁ and moving with a constant velocity when seen from another frame S₂. Mark out the possible options.

(a) Both the frames are inertial

(b) Both the frames are non-inertial

(c) S₁ is inertial and S₂ is non-inertial

(d) S₁ is non-inertial and S₂ is inertial

Choose the correct option:

1. (a) and (b)

2. (b) and (c)

3. (c) and (a)

4. (a) and (d)

A particle is observed from two frames \(S_1\) and \(S_2.\) The frame \(S_2\) moves with respect to \(S_1\) with an acceleration \(a.\) Let \(F_1\) and \(F_2\) be the pseudo forces on the particle when seen from \(S_1\) and \(S_2\) respectively. Which of the following are not possible?
1. \(F_1=0,~F_2\neq0\)
2. \(F_1\neq0,~F_2=0\)
3. \(F_1\neq0,~F_2\neq0\)
4. \(F_1=0,~F_2=0\)