A pendulum clock keeping correct time is taken to high altitudes, 

(a) it will keep correct time 

(b) its length should be increased to keep correct time 

(c) its length should be decreased to keep correct time 

(d) it cannot keep correct time even if the length is changed.

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1 Answers

(c) its length should be decreased to keep correct time

EXPLANATION: 

At high altitudes, the value of g decreases. Since the time period of the pendulum T = 2π√(l/g), it will increase at high altitudes. The clock will not give the correct time. To keep the correct time T should not change and to keep T constant the ratio l/g should not change. Since the value of g is getting decreased at the high altitudes, the length l should also be proportionately decreased to keep the ratio l/g constant. Hence the option (c) is true.   

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