List of practice Questions

Consider the given diagram. An ideal gas is contained in a chamber (left) of volume V and is at an absolute temperature T. It is allowed to rush freely into the right chamber of volume V which is initially vacuum. The whole system is thermally isolated. What will be the final temperature of the system after the equilibrium has been attained ?

A solid cylinder of mass 2 kg and radius 4 cm is rotating about its axis at the rate of 3 rpm. The torque required to stop after 2$\pi$revolutions is:

A solid copper sphere of density $\rho$, specific heat capacity $C$ and radius $r$ is initially at $200\, K$. It is suspended inside a chamber whose walls are at $0\, K$. The time required (in (is) for the temperature of the sphere to drop to $100 \,K$ is ($\sigma$ is Stefan's constant and all the quantities are in SI units)

In a $\Delta ABC$. with usual notation, match the items in List - I with the items in List - II and choose the correct option.

List I		List II
(A)	$r_1r_2\sqrt{\bigg(\frac{4R-r_1-r_2}{r_1+r_2}\bigg)}$	1	$b$
(B)	$\frac{r_2(r_3+r_1)}{\sqrt{r_1r_2+r_2r_3+r_3r_1}}$	2	$a^2,b^2,c^2 are \;in \;AP$
(C)	$\frac{a}{c}=\frac{sin(A-B)}{sin(B-C)}$	3	$\triangle$
(D)	$bc\;cos^2\frac{A}{2}$	4	$R\; r_1r_2r_3$
		5	$s(s-a)$

Which of the following salts is coloured salt before heating?

The magnitude of the de-Broglie wavelength $\left(\lambda\right)$ of electron (e), proton (p), neutron (n) and a-particle (a) all having the same energy of 1 MeV, in the increasing order will follow the sequence

A circuit contain two resistors R₁and R₂ in series. Find the ratio of input voltage to voltage to R₂

The correct order of acid strength of the following carboxylic acids is

Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R
Assertion: Glucose does not give 2,4-DNP test.
Reason: Glucose exists in cyclic hemiacetal form.
In the light of the above statements, choose the correct answer from the options given below

$ {B2H6}$ reacts with $ {(CH3)3N}$ to produce

What happens to a cell during M phase of cell cycle?

Which of the following holds true for blood circulation in earthworm?

There are 720 permutations of the digits 1, 2 ,3 , 4, 5, 6 suppose these permutations are arranged from smallest to largest numerical values beginning from 123456 and and ending with 654321.Whihc of the following is correct?

Match the column I and II

Column I		Column II
(i)	Elaioplast	(a)	Storage of starch
(ii)	Aleuroplast	(b)	Storage of fat
(iii)	Amyloplast	(c)	Storage of protein
(iv)	Chromoplast	(d)	Colored pigments

Match the following. Column I - Column II

A potential difference V = 100 $\pm$ 5 V, when applied across a resistance, gives a current I = 10 ? 0.2 A, What is the percentage error in R?

List I		List II
(A)	\(r_1r_2\sqrt{\bigg(\frac{4R-r_1-r_2}{r_1+r_2}\bigg)}\)	1	\(b\)
(B)	\(\frac{r_2(r_3+r_1)}{\sqrt{r_1r_2+r_2r_3+r_3r_1}}\)	2	\(a^2,b^2,c^2 are \;in \;AP\)
(C)	\(\frac{a}{c}=\frac{sin(A-B)}{sin(B-C)}\)	3	\(\triangle\)
(D)	\(bc\;cos^2\frac{A}{2}\)	4	\(R\; r_1r_2r_3\)
		5	\(s(s-a)\)