List of practice Questions

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?

What current will flow through the $2\,k\Omega$ resistor in the circuit shown in the figure?

If in a voltaic cell, $5\, g$ of zinc is consumed, we will get how many ampere hour? $(ECE$ of zinc is $3.387 \times 10^{-7} kg\, C^{-1})$

It is preferable to measure the e.m.f. of a cell by potentiometer than by a voltmeter because of the following possible reasons. (i) In case of potentiometer, no current flows through the cell. (ii) The length of the potentiometer allows greater precision. (iii) Measurement by the potentiometer is quicker. (iv) The sensitivity of the galvanometer, when using a potentiometer is not relevant. Which of these reasons are correct?