List of practice Questions

A physical quantity of the dimensions of length that can be formed out of c, G and $\frac{e^2}{4 \pi \varepsilon_0} $ is [c is velocity of light, G is universal constant of gravitation and e is charge] :-
A carnot engine having an efficiency of $\frac{1}{10} $ as heat engine, is used as a refrigerator. If the work done on the system is $10\,J$, the amount of energy absorbed from the reservoir at lower temperature is :
Which of the following is a sink for $CO$ ?
A resistance of $ 5 \Omega $ is connected in series with a capacitance of $ 1\,mF $ . The combination is connected to $ AC $ source of angular frequency $ 200 \, rad\, s ^{-1} $ . Then
$ Cu $ crystallizes as face centred cubic lattice with edge length of $ 3.56 \, ? $ . What will be the nearest distance between $ Cu $ atoms?
What is the probable free amino acid product formed when $ R^1CH(NH_2)CONHCHR^2COOH $ reacts with $ 1 $ -fluoro- $ 2,4 $ -dinitrobenzene in presence of $ NaHCO_3 $ followed by acid hydrolysis?
A body $ A $ thrown vertical upwards with a velocity v reaches a height of $ 200\, m $ . Another body $ B $ whose mass is twice that of $ A $ is thrown with a velocity $ 2v $ . Find the maximum height reached by $ B $ .
The monomers used in preparation of dextron are
A molecule of Stachyose contains how many carbon atoms ?
Which of following coordinate complexes is an exception to $EAN$ rule ? (Given At. No. Pt = 78, Fe = 26, Zn = 30, Cu = 29)
Which of the following statements is INCORRECT for pair of elements $Zr - Hf$ ?
Which of the following statements is INCORRECT in case of Hofmann bromamide degradation ?
What is the chief constituent of Pyrex glass ?
The metal extracted by leaching with a cyanide is
What is the quantity of hydrogen gas liberated when $46 \,g$ sodium reacts with excess ethanol ? (Given At. mass of Na = 23)
If coefficient of variation is $60$ and standard deviation is $24$, then Arithmetic mean is

For which combination of working temperatures, the efficiency of Carnot's engine is the least ?

Which of the following represents order of 'Horse' ?
A particle performs linear $S.H.M.$ At a particular instant, velocity of the particle is $u$ and acceleration is $\alpha$ while at another instant velocity is $v$ and acceleration is $ \beta (0 < \alpha < \beta )$. The distance between the two positions is
If the function \[ f(x) = \begin{cases} [ tan (\frac {\pi}{4}+x)]^{1/x} & \quad for\, x \neq 0\\ K \,\,\,\,\,\,\,\,\,\text{if } x =0 \end{cases} \] is continuous at $x = 0$, then $K = ?$
If $z_1$ and $z_2$ are z co-ordinates of the points of trisection of the segment joining the points $A(2, 1, 4), B _1 + z_2 =$
The area of the region bounded by the lines $y = 2x + 1, y = 3x + 1$ and $x = 4$ is
A disc of moment of inertia $'I_1'$ is rotating in horizontal plane about an axis passing through a centre and perpendicular to its plane w ith constant angular speed $?\omega_1'$. Another disc of moment of inertia $?I_2? $ having zero angular speed is placed coaxially on a rotating disc. Now both the. discs are rotating with constant angular speed $?\Omega_2 ?$. The energy lost by the initial rotating disc is
A solid sphere of mass 2 kg is rolling on a frictionless horizontal surface with velocity 6 m/s. It collides on the free end of an ideal spring whose other end is fixed. The maximum compression produced in the spring will be (Force constant of the spring = 36 N/m).
Two spherical black bodies have radii $?r_1?$ and $'r_2'$ . Their surface temperatures are $'T_1'$ and $'T_2'$. If they radiate same power then $\frac{r_2}{r_1}$ is