10-question readiness test

The precipitate of \(CaF_2\) , (K \(_{sp}\) =1.7x10 \(^{-10}\) ) is obtained when equal volumes of the following are mixed

A wind powered generator converts wind energy into electric energy. Assume that the generator converts a fixed friction of the wind energy intercepted by its blades into electrical energy. For wind speed  \(v\) , the electricla power output will be proportional to 

If the normal to the curve  \(y=f(x)\)  at the point  (3,4) makes an angle  \(\frac{3\pi} 4\)  with the positive X-axis , then  \(f' (3)\)   is equal to 

The trajectory of a projectile in a vertical plane is  \(y = ax - bx^2\) , where  \(a, b\)  are constants and  \(x\)   and  \(y\)  are horizontal and vertical distances respectively of the projectile from the point of projection. The maximum height attained is 

The smallest positive integer  \(n\) , for  which  \(n!< (\frac{n+1} 2)^n\)  holds,is :

If one root of the equation  \(5x^2+13x +k =0\)   is reciprocal of other, then the value of  \(k\)  is :

If  \(\alpha +\beta +\gamma=2\pi,\)  then 

In the given figure there are two blocks A and B of weight 20 N and 100 N respectively. These are being pressed against a wall by a force F as shown in the image. If the coefficient of friction between the blcoks is 0.1 abd between block B and the wall is 0.15, the frictional force applied by the wall in block B is 

Which of the following exists as covalent crystals in the solid state ? 

The number of words that can be formed by using the letters of the word MATHEMATICS that start as well as end with T are :