List of practice Questions

The sixth term in the expansion of $\left[2^{\log _{2} \sqrt{9^{x-1}+7}}+\frac{1}{2^{\frac{1}{5} \log _{2}\left(3^{x-1}+1\right)}}\right]$ is 84. Then the number of values of $x$ is
The slits in Young?? double slit experiment are illuminated by light of wavelength $6000 ?$. If the path difference at the central bright fringe is zero, what is the path difference for light from the slits at the fourth bright fringe?
The slope of the line touching both the parabolas $ y^2 = 4x$ and $x^2 = - 32y$ is
The SI unit of magnetic permeability is
The $SI$ unit of pressure gradient is
The sine of the angle between the vectors $\overrightarrow{i}-2\overrightarrow{j}+3\overrightarrow{k}$ and $2\overrightarrow{i}+\overrightarrow{j}+\overrightarrow{k}$ is
The shortest wavelength of the Brackett series of a hydrogen like atom (atomic number =Z) is the same as the shortest wavelength of the Balmar series of hydrogen atom. The value of Z is
The shortest distance between the lines $\frac{x-5}{4}=\frac{y-7}{-5}=\frac{z+3}{-5}$ and $\frac{x-8}{7}=\frac{y-7}{1}=\frac{z-5}{-3}$
The shortest wavelength in the Balmer series is $(R = 1.097 \times 10^7 \,m^{-1})$
The shape of $CO_2$ molecule is similar to
The shape of $IF_5$ molecule is
The shape of the molecule $SF_2Cl_2$ is
The shortest distance between the lines $\vec{r}=\left(8+3\lambda\right)\hat{i}-\left(9+16\lambda\right)\hat{j}+\left(10+7\lambda\right)\hat{k}$ and $\vec{r}=15\hat{i}+29\hat{j}+5\hat{k}+\mu\left(3\hat{i}-8\hat{j}-5\hat{k}\right)$ is
The sequence of origin of life may be
The set of intelligent students in a class is
The set of real values of x for which $\log_{0.2} \frac{x +2}{x} \leq 1$ is
The self inductance $L$ of a solenoid of length $l$ and area of cross-section $A$, with a fixed number of turns $N$ increases as
The self inductance of an inductor coil having $100$ turns is $20\, mH$. The magnetic flux through the cross-section of the coil corresponding to a current of $4 \,mA$ is
The sequence of acidic character is
The segments of earthworms are
The second, third and fourth terms in the binomial expansion $(x+a)^n$ are $240$, $720$ and $1080$, respectively. Find $x$, $a$ and $n$ respectively.
The satellite of mass m revolving in a circular orbit of radius r around the earth has kinetic energy E. Then its angular momentum will be
The second most electronegative element of the periodic table belongs to which family and which period respectively ?
The Rubin number which was proposed by Ostwald as an alternative to the Gold number in order to measure the protective efficiency of a lyophillic colloid may be defined as the
The S.D. of the first n natural numbers is