List of practice Questions

In the Young's double slit experiment, the interference pattern is found to have an intensity ratio between the bright and dark fringes as 9, This implies that
Helium atom is two times heavier than a hydrogen molecule. At $298\, K$ the average kinetic energy of a helium atom is
There exist a function f (x), satisfying $f (0) = 1, f'(0) = -1, f (x) > 0$ for all x, and
The area bounded by the curves y = f (x), the X-axis and the ordinates x = 1 and x = b is (b - 1 ) sin (3b + 4). Then, f (x) is equal to
The scalar $\overrightarrow{A}.[(\overrightarrow{B}+\overrightarrow{C})\times(\overrightarrow{A}+\overrightarrow{B}+\overrightarrow{C})]$ eqy=ual
If A and B are two independent events such that $P(A) > 0,$ and $P(B)\ne 1$, then $P(\overline{A}/ \overline{B})$ is equal to
Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First the women choose the chairs from amongst the chairs marked 1 to 4 and then the men select the chairs from amongst the remaining. The number of possible arrangements is
The compound with highest boiling point is
In the metallurgy of iron, limestone is added to the blast furnace. The calcium ions end up as
Iron is rendered passive by treatment with concentrated
The ion that cannot be precipitated by both HCl and $H_2 S$ is
Among the following, the linear molecule is
A glass prism of refractive index 1.5 is immersed in water (refractive index 4/3). A light beam incident normally on the face AB is totally reflected to reach the face BC if
The plate resistance of a triode is $3 \times 10^3 \Omega$ and its mutual conductance is $1.5 \times 10^{-3} A/V$. The amplification factor of the triode is
An alpha particle of energy $5 \,MeV$ is scattered through $180^\circ$ by a fixed uranium nucleus. The distance of closest approach is of the order of
The half-life of the radioactive radon is 3.8 days. The time, at the end of which 1/20th of the radon sample will remain undecayed, is (given $log_{10} e = 0.4343$)
If 0.5 mol of $BaCl_2$ is mixed with 0.2 mol of $Na_3PO_4$ the maximum number of moles of $Ba_3(PO_4 )_2$ that can be formed is
The temperature ar which a real gas obeys the ideal gas laws over a wide range of pressure is
In the circuit shown in figure the heat produced in the $5\Omega$ resistor due to the current flowing through it is 10 cal/s. The heat generated in the $4\Omega$ resistor is
An azeotropic solution of two liquids has boiling point lower than either of them when it
The rate constant of a reaction depends on

An acidic buffer solution can be prepared by mixing solution of

Pure ammonia is placed in a vessel at a temperature where its dissociation constant ($\alpha$ ) is appreciable. At equilibrium, $ N_2 + 3H_2 \rightleftharpoons 2NH_3$
The equilibrium $ SO_2CI_2 \, ( g) \rightleftharpoons SO_2 \, ( g) + CI_2 \, ( g) $ is attained at $ 25^\circ$C in a closed container and an inert gas, helium is introduced. Which of the following statements are correct ?
At $90^\circ C,$ pure water has $[H_3 O^+] $ as $ 10^{ - 6 } \, mol \, L^{ - 1}$. What is the value of $ K_w \, at \, 90^\circ $ C ?