AP EAMCET2009PhysicsOscillations
A clock pendulum made of invar has a period of 0.5 ~s , at 20^ C . If the clock is used in a climate where the temperature averages to 30^ C , how much time does the clock lose in each oscillation? (For invar, =9 10⁻⁷ / ^ C , g= constant )
Options
- A2.25 10⁻⁶ ~s
- B2.5 10⁻⁷ ~s
- C5 10⁻⁷ ~s
- D1.125 10⁻⁶ ~s
Correct answer
C. 5 10⁻⁷ ~s
Step-by-step solution
Time period of oscillation, aligned T & =2 l g d T T & = 1 2 d l l As, d l l & = d t d T T & = 1 2 d t & = 1 2 9 10⁻⁷ (30-20) & =4.5 10⁻⁶ Loss in time = & 4.5 10⁻⁶ 0.5 = & 2.25 10⁻⁶ ~s aligned