The time represented by the clock hands of a pendulum clock depends on the number of oscillations performed by pendulum. Every time it reaches to its extreme position the second hand of the clock advances by one second that means second hand moves by two second when one oscillation is completed.
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
Number of oscillations = 
= 450
Δ T = 
× αΔθ T = 
× 2 × 10 –5 × 20 × 2 = 4 × 10 –4 sec.
T' = 2 + 4 × 10 –4 = 2.0004 sec.
Number of oscillations = 
= 449.91
Number of complete oscillations = 449
Last oscillation will not be complete.
So, time shown = 12 : 15 : 00 – 0:00 : 01
= 12:14:59 pm
2 = 
× 2 × 10 –5 × Δθ × 15 × 60
Δθ = 
= 
ºC
Δ T = 
α Δθ T = 
× 2 × 10 –5 × 
× 2 = 
T' = 2 – 
= 
sec.
Number of oscillations = 
= 451
Number of extra oscillations = 451 – 450 = 1.
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