List of practice Questions

An infinite number of charge, each of charge $1\, \mu C$ are placed on the x-axis with coordinates $x=1, 2, 4, 8, ....... \infty.$ If a charge of $1\,C$ is kept at the origin, then what is the net force acting on $1\,C$ charge?

Dimensions of a block are $1\,cm � 1\,cm � 100\,cm$. If specific resistance of its material is $3\times 10^{-7} \,\Omega\, m$, then the resistance between the opposite rectangular faces is

In the reversible reaction, $2 NO _{2} \ce{->[{k_{1}}][{K_{2}}]} N _{2} O _{4}$ the rate of disappearance of $N O_{2}$ is equal to

In a set of reactions acetic acid yielded a product D. $CH_{3} COOH {->[{SOCl_{2}}]} A {->[{\text{Benzene}}][{\text{anhy} AlCl_{3}}]} B {->[{HCN}]} C {->[{H_{2}O}]}$ The structure of D would be

Find the value of $(7.995)^{1/3}$ correct to four decimal places.

Histone octamer contains

If $\theta + \phi = \frac{\pi}{4}$, then $\left(1+ \tan\,?\right)\left(1+ \tan\,\phi\right)$ is equal to

Let $f(x) = \tan^{-1}x$. Then $f'(x) + f''(x)$ is = $0$, when $x$ is equal to

Acidified $K_2Cr_2O_7 $ solution turns green when $Na_2SO_3 $ is added to it. This is due to the formation of

A boy standing at the top of a tower of $20\,m$ height drops a stone. Assuming $g = 10\, ms^{-2},$ the velocity with which it hits the ground is

Select the correct statement with respect to disease and immunization :

Which one of the following acts as a physiological barrier to the entry of microorganisms in human body ?

The number $(101)^{100} - 1$ is divisible by

Which of the following will give Cannizzaro reaction?

What is the age of an ancient wooden piece if it is known that the specific activity of $C^{14}$ nuclide in its amounts is $3/5$ of that in freshly grown trees? Given the half of $C$ nuclide is $5570\, yr$.

A current of $2\,A$ flows through a $2\, \Omega$ resistor when connected across a battery. The same battery supplies a current of $0.5\, A$ when connected across a $9\, \Omega$ resistor. The internal resistance of the battery is

Glycerine is used as a preservative for fruits and eatables because

Which one of the following statements is not true regarding $(+)$ lactose?

Which of the following is not a fat soluble vitamin ?

ln the nuclear reaction $ _7^{14} N + X \rightarrow _6^{14} C + _1^1 H, $ the $X$ will be

A balanced diet does NOT include.....................

As per the guidelines of the Indian Red Cross society, which of the following persons is recommended for blood donation?

A clone is _____ .

Casparian strips are present in the.......... of the root.

A transformer works on the principle of