KVPY Government Jobs Exams

A book is resting on shelf that is undergoing vertical simple harmonic oscillations with an amplitude of
2.5 cm. What is the minimum frequency of oscillation of the shell for which the book will lose contact with
the shelf ? (Assume that g = 10 m/s2)
(A) 20 Hz (B) 3.18 Hz (C) 125.6 Hz (D) 10 Hz

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KVPY Other Question

A nucleus has a half-life of 30 minutes. At 3 PM its decay rate was measured as 120,000 counts/sec. What
will be the decay rate at 5 PM ?
(A) 120,000 counts/sec (B) 60,000 counts/sec
(C) 30,000 counts/sec (D) 7,500 counts/sec
A bus driving along at 39.6 kmph is approaching a person who is standing at the bus stop, while honking
repeatedly at an interval of 30 seconds. If the speed of the sound is 330 m/s, at what interval will the person
hear the horn ?
(A) 31 seconds
(B) 29 seconds
(C) 30 seconds
(D) the interval will depend on the distance of the bus from the passenger