IIT-JEE Exam

A student uses a simple pendulum of exactly 1 m length to determine g, the acceleration due to gravity. He
uses a stop watch with the least count of 1 second fore this and records 40 seconds for 20 oscillations. For
this observation, which of the following statement(s) is (are) true ?
(A) error ΔT in measuring T, the time period, is 0.05 seconds
(B) error ΔT in measuring T, the time period, is 1 second
(C) percentage error in the determination of g is 5%
(D) percentage error in the determination of g is 2.5%.

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IIT-JEE Other Question

One mole of an ideal gas in initial state A undergoes a cyclic process
ABCA, as shown in figure. Its pressure at A is P0. Choose the correct
option(s) from the following :
(A) internal energies at A and B are the same
(B) work done by the gas is process AB is P V ln4
If the total energy of the particle is E, it will perform periodic motion only if
(A) E < 0 (B) E > 0
(C) V0 > E > 0 (D) E > V0.