Question: 29: Match List – I with List – II :
Choose the correct answer from the options given below :
(1) (a) – (iv), (b) – (ii), (c) – (iii), (d) – (i)
(2) (a) – (iv), (b) – (iii), (c) – (ii), (d) – (i)
(3) (a) – (i), (b) – (iv), (c) – (iii), (d) – (ii)
(4) (a) – (iii), (b) – (ii), (c) – (i), (d) – (iv)
Answer: Option (2)
Explanation:
Graph (a) shows oscillations whose amplitude decreases with time.
This represents damped oscillations, which occur when a pendulum oscillates in the presence of air friction.
Hence, (a) corresponds to (iv).
Graph (b) is a straight line passing through the origin with a negative slope.
This represents Hooke’s law for a spring, where the restoring force is proportional to displacement
and acts in the opposite direction. Mathematically,
F = -kxHence, (b) corresponds to (iii).
Graph (c) is a sinusoidal curve with constant amplitude, indicating simple harmonic motion without damping. This happens when a pendulum oscillates under negligible air friction.
Therefore, (c) corresponds to (ii).
Graph (d) is a closed curve between x and y, which represents a constant exchange between kinetic and potential energy with no loss. This indicates that total mechanical energy is conserved.
Hence, (d) corresponds to (i).
Thus, the correct matching is (a)-(iv), (b)-(iii), (c)-(ii), (d)-(i),
which corresponds to option (2).