List of practice Questions

The variation of density of a solid with temperature is given by the formula
The vector of ??reakbone fever?
The velocity-displacement graph of a particle is as shown in the figure. Which of the following graphs correctly represents the variation of acceleration with displacement ?
The velocity head of a stream of water is 40 cm. Then, the velocity of flow of water is
The variance of first 25 natural numbers is
The variance of first n natural numbers is :
The variance of random variable $X$ i.e. $\sigma^{2}_{x}$ or var$(X)$ is equal to
The variance of the numbers $2, 3, 11 $ and $x$ is $\frac{49}{4}$. Find the value of $x$.
The van't Hoff factor for a dilute solution of glucose is
The van't Hoff factor for a very dilute solution of $Fe_2(SO_4)_3$ is
The values of the determinant $ \begin{vmatrix} x+1& x+2 &x+4 \\[0.3em] x+3 & x+5 & x+8 & \\[0.3em] x+7 & x+10 & x+14 \end{vmatrix}$
The values of x satisfying $| x - 4 | + | x - 9 | = 5$, is :
The values of coefficients to balance the following reaction are $Cr\left(OH\right)_{3} + ClO^{-}+OH^{-}\to CrO_{4}^{2-}+ Cl^{-} + H_{2}O$
The values of colligative properties of colloidal solution are of small order in comparison to those shown by true solutions of same concentration because of colloidal particles
The value of x, so that the matrix $=\begin{bmatrix} x+a &b& c \\[0.3em] a& x+b & c \\[0.3em] a & b & x+c \end{bmatrix}$ has rank 3 , is
The value of $|z|^2 + |z - 3|^2 + |z - i|^2$ is minimum when $z$ equals.
The value of x where $\begin{bmatrix}6&x-2\\ 3&x\end{bmatrix}$, has no inverse is :
The value of universal gravitational constant $G=6.67 \times 10^{-11}\,N\,m^{2}\,kg^{-2}$. The value of $G$ in units of $g^{-1}\, cm^3\, s^{-2}$ is
The value of the sum $(\,^nC_1)^2+(\,^nC_2)^2+(\,^nC_3)^2+...+(\,^nC_n)^2$ is
The value of the term independent of x in the expansion of $\left(1+\frac{x}{2}-\frac{2}{x}\right)^{4}, x \ne 0$ is equal to
The value of the magnetic field induction at the centre of the coil, if l = 2A, h= 10 cm. in the following figure is
The value of the expression $\frac{1}{2} ( \sqrt{3} \sin 75^{\circ} - \cos \, 75^{\circ} )$ is :
The value of the expression tan 1$^\circ$ tan 2$^\circ$ tan 3$^\circ$ tan 4$^\circ$ ______tan 87$^\circ$ tan 88$\circ$ tan 89$^\circ$ is equal to
The value of the determinant of $\begin{bmatrix}x+1&x+2&x+4\\ x+3 &x+5&x+8\\ x+7 &x+10&x+14\end{bmatrix}$ is :
The value of the definite integral $\int\limits_{0}^{1}\frac{x\,dx}{x^3+16}$ lies in the interval [a, h], The smallest such interval is