Tension in the string at any point is, where, is the angle that the string makes with vertical and v is the speed of bob. At the lowest point, cos θ = 1 i.e. maximum.Also, the speed of bob is maximum at the lowest point. Therefore, maximum tension is at the lowest point which is the mean position.
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Definitely one can see an intersection of time and space in the story The Third Level since the story is constantly moving between the past and the present. Charley is an ordinary man of thirty-one years old. He wears a tan gaberdine suit and a straw hat with a fancy band. He lives and works in an office in New York. This city is full of insecurities, fear, war, worries, stress and tension. People feel unsafe and troubled so that they want to escape.
The Third Level at Grand Central Station is a medium of an easy escape for Charley. It is nothing but a ‘waking-dream-wish-fulfilment.’ At the
The Third Level at Grand Central Station is a medium of an easy escape for Charley. It is nothing but a ‘waking-dream-wish-fulfilment.’ At the
Answer :- x+6y=5
∴ Required ratio = 40 : 16 = 5 : 2
Let f(x) = x4 + x3 - 7x2 - x + 6By trial, f(1) = 0 and f(2) = 0So by factor theorem, (x - 1) and (x - 2) are factors of f(x).(x - 1) (x - 2) = x2 - 3x + 2Now, f(x) = x2 (x2 - 3x + 2)+ 4x (x2 - 3x + 2) + 3 (x2 - 3x + 2)= (x2 - 3x + 2) (x2 + 4x + 3)= (x - 1) (x - 2) (x + 1) (x + 3)

Let the concentration of the reactant be [A] = a
Rate of reaction, R = k [A]2 = ka2
(i) If the concentration of the reactant is doubled, i.e. [A] = 2a, then the rate of the reaction would be
R = k (2a)2
= 4ka
= 4R
Therefore, the rate of the reaction would increase by 4 times.
(ii) If the concentration of the reactant is reduced to half, i.e., then the rate of the reaction would be
Therefore, the rate of the reaction would be reduced to
Rate of reaction, R = k [A]2 = ka2
(i) If the concentration of the reactant is doubled, i.e. [A] = 2a, then the rate of the reaction would be
R = k (2a)2
= 4ka
= 4R
Therefore, the rate of the reaction would increase by 4 times.
(ii) If the concentration of the reactant is reduced to half, i.e., then the rate of the reaction would be
Therefore, the rate of the reaction would be reduced to
Using Gauss theorem,