Latest KVPY Aptitude Question SOLUTION: Suppose logab + logba = c. The smallest possible integer value of c for all a, b > 1 is

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Previous Question: A standing wave in a pipe with a length L = 1.2 m is described by y (x,t)= y0 sin [(2π/L)x] sin [(2π/L)x + π/4] Based on above information, which one of the following statements is incorrect. (Speed of sound in air is 300 m s–1)– (A) The pipe is closed at both ends (B) The wavelength of the wave could be 1.2 m (C) There could be a node at x = 0 and antinode at x = L/2 (D) The frequency of the fundamental mode of vibrations is 137.5 Hz Next Question: Suppose n is a natural number such that| i + 2i2 + 3i3 + ... + nin |=18 2 , where i is the square root of – 1. Then n is

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Suppose logab + logba = c. The smallest possible integer value of c for all a, b > 1 is: Asked In KVPY MAN (11 years ago); Unsolved; Is this Puzzle helpful? (0) (0) Submit Your Solution

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Previous Question: A standing wave in a pipe with a length L = 1.2 m is described by y (x,t)= y0 sin [(2π/L)x] sin [(2π/L)x + π/4] Based on above information, which one of the following statements is incorrect. (Speed of sound in air is 300 m s–1)– (A) The pipe is closed at both ends (B) The wavelength of the wave could be 1.2 m (C) There could be a node at x = 0 and antinode at x = L/2 (D) The frequency of the fundamental mode of vibrations is 137.5 Hz Next Question: Suppose n is a natural number such that| i + 2i2 + 3i3 + ... + nin |=18 2 , where i is the square root of – 1. Then n is

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