List of practice Questions

All or none law is not applicable for

$\sin \left[2 \cos^{-1} \cot \left(2 \tan^{-1} \frac{1}{2}\right) \right] $ is equal to

A series combination of $n_1$ capacitors, each of capacity $C_1$ is charged by source of potential difference $4\, V$. When another parallel combination of $n_2$ capacitors each of capacity $C_2$ is charged by a source of potential difference $V$, it has the same total energy stored in it as the first combination has. The value of $C_2$ in terms of $C_1$ is then

For an electrophilic aromatic substitution reaction

Degree of freedom for polyatomic gas

Let $P=[a_{ij}]$ be a $3\times3$ matrix and let $Q=[b_{ij}]$ where $b_{ij}=2^{i+j} a_{ij}$ for $1 \le i, j \le $.If the determinant of $P$ is $2$, then the determinant of the matrix $Q$ is

Let $a_{n}$ denote the number of all $n$ -digit positive integers formed by the digits 0,1 or both such that no consecutive digits in them are $0 .$ Let $b_{n}=$ the number of such $n$ -digit integers ending with digit 1 and $c_{n}=$ the number of such $n$ -digit integers ending with digit $0 .$ Which of the following is correct?

Let $f : \left(-\infty, \infty\right) \to \left(-\infty , \infty \right)$ be defined by $f(x) = x^3 + 1$. The function f has a local extremum at $x = 0$ The function f is continuous and differentiable on (-??,oo) and/'(0) = 0

Which of the following is a free living nitrogen fixing bacteria present in the soil?

If the sum of the series $1^{2} + 2.2^{2} + 3^{2} + 2.4^{2} + 5^{2}+ ... 2.6^{2} +...$ upto n terms, when n is even, is $\frac{n\left(n+1\right)^{2}}{2}$, then the sum of the series, when n is odd, is

In an adult human being, growth and cell division stop in

The volume of Anatomical Dead Space air is normally

A spherical balloon is filled with $4500\,\pi$ cubic meters of helium gas. If a leak in the balloon causes the gas to escape at the rate of $72\,\pi$ cubic meters per minute, then the rate (in meters per minute) at which the radius of the balloon decreases $49$ minutes after the leakage began is

Compounds, $\left.\left[ PtCl _{2} NH _{3}\right)_{4}\right] Br _{2}$ and $\left[ PtBr _{2}\left( NH _{3}\right)_{4}\right] Cl _{2}$, shows the following type of isomerism

The value of cos $255^{\circ}$ + sin $195^{\circ}$ is

Motile zygote of Plasmodium occurs in

Nuclear membrane is absent in

Tendrils in plants are an example of

In this circuit, the value of $I_2$, is

In a Wheatstone?s network, $P = 2 \, \Omega , Q = 2\, \Omega , R = 2\, \Omega$ and$ S = 3\,\Omega$. The resistance with which $S$ is to be shunted in order that the bridge may be balanced is

A battery of emf $ 8V $ with internal resistance $ 0.5 \, \Omega$ is being charged by a $ 120 \,V\, d.c. $ supply using a series resistance of $ 15.5 \Omega $ . The terminal voltage of the battery is

For the resistance network shown in the figure, choose the correct option(s).

Consider a copper wire of length $L$, cross-sectional area $A$. It has $n$ number of free electrons per unit volume. Which of the following is the correct expression of drift velocity of the electrons when the wire carries a steady current $I$?

A Wheatstone bridge has the resistances $10\, \Omega,\, 10\, \Omega, 10\, \Omega$ and $30\, \Omega$ in its four arms. What resistance joined in parallel to the $30\, \Omega$ resistance will bring it to the balanced condition?