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Q.

A clock calibrated at a temperature of 20°C. Assume that the pendulum is a thin brass rod of negligible mass with a heavy bob attached to the end   (αbrass=19×106/K)

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a

On hot day at 30°C the clock gains 8.2s

b

On hot day at 30°C the clock losses 8.2s

c

On cold day at 10°C the clock gains 8.2s

d

On cold day at 10°C the clock losses 8.2s

answer is B, C.

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Detailed Solution

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(2,3)
TT=12αt
At 30°C, fraction lose of time
T30T20T20=5α=5×19×104
Time lost in 24 hours
=86400×95×104=8.25
On cold day at  10°c
T10T20T20=5α
Time gain in 24 hrs =  86400×95×104=8.25

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