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Q.

A wall clock uses a vertical spring mass system to measure the time. Each time the mass reaches an extreme position, the clock advances by a second. The clock gives correct time at the equator. If the clock is taken to the poles it will

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a

 run slow

b

run fast   

c

 stop working

d

give correct time

answer is D.

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Detailed Solution

For a spring-mass system, time period of oscillation \large T\, = \,2\pi \sqrt {\frac{m}{k}}

Therefore time period of the clock does not depend upon the value of acceleration due to gravity on the surface of earth. Hence option - (4) is correct.

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