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Which one of the following ores is best concentrated by froth floatation method?

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At present, a firm is manufacturing 2000 items. It is estimated that the rate of change of production P w.r.t. additional number of workers x is given by \displaystyle\frac{{{d}{P}}}{{{\left.{d}{x}\right.}}}={100}-{12}\sqrt{{{x}{\dot}}}If the firm employs 25 more workers, then the new level of production of items is

$(lim)_{x0}((1−cos2x)xtan4x3+cosx $ is equal to:

In $S_{N}2$ reactions the corect order of reactivity for the following compound :

If $A=⎣⎡ 12a 212 2−2b ⎦⎤ $ is a matrix satisfying the equation $AA_{T}=9I$, where $I$ is $3×3$ identity matrix, then the ordered pair $(a,b)$ is equal to :(A) $(2,−1)$ (B) $(−2,1)$ (C) $(2,1)$ (D) $(−2,−1)$

Which of the following compounds in not colored yellow ?

A piston filled with 0.04 mol of an ideal gas expands reversibly from 50.0 mL to 375 mL at a constant temperature of $37.0_{∘}C.$ As it does so, it absorbs 208J of heat. The values of q and w for the process will be: (R = 8.314 J/mol K) (l 7.5 = 2.01)

Two charges, each equal to q, are kept at x = ?a and x = a on the x-axis. A particle of mass m and charge $q_{0}=2q $ is placed at the origin. If charge q0 is given a small displacement (y a) along the y-axis, the net force acting on the particle is proportional to:

An ideal gas enclosed in a vertical cylindrical container supports a freely moving piston of mass M. The piston and cylinder have equal cross sectional area A. When the piston is in equilibrium, the volume of the gas is $V_{0}$ and its pressure is $P_{0}.$ The piston is slightly displaced from the equilibrium position and released. Assuming that the system is completely isolated from its surrounding, the piston executes a simple harmonic motion with frequency: