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Physics
The pulley arrangements as shown in below figures (a) and (b) are identical. The mass of the rope is negligible. In (a) the mass m is lifted up by attracting mass 2m to the other end of the rope. In (b) m is lifted up by pulling the other end of the rope with a constant downward force F = 2mg. The acceleration of m is the same in both cases. Define whether the above statement is true or false?
Chemistry
The decomposition of according to the equation: is a first order reaction. After 30 min from the start of the decomposition in a closed vessel, the total pressure developed is found to be 284.5 mm of Hg and on complete decomposition, the total pressure is 584.5 mm of Hg. Calculate the rate constant of the reaction. (IIT 1991)
Mathematics
Let a, b be the roots of and c, d is the roots of . Find the value of a + b + c + d. (IIT 2006)