List of practice Questions

The resistances in the two arms of the meter bridge are 5Ω and RΩ, respectively. When the resistance R is shunted with an equal resistance, the new balance point is at 1.6 l1. The resistance 'R', is:
resistances in the two arms of the meter bridge are 5Ω and RΩ
Two thin dielectric slabs of dielectric constants K1 and K2 (K1 < K2) are inserted between plates of a parallel plate capacitor, as shown in the figure. The variation of electric field 'E' between the plates with distance 'd' as measured from plate P is correctly shown by:
Two thin dielectric slabs of dielectric constants K1 and K2
For the reaction:
\(X_2O4(l) → 2XO_2(g)\)
△U = 2.1 k cal, △S = 20 cal K–l at 300 K.
Hence △G is
Identify \(Z\) in the sequence of reactions:
\(CH_3CH_2CH=CH_2  \xrightarrow{HBr/H_2O_2}Y \xrightarrow{C_2H_5ONa}Z\)
In the following reaction, the product (A) is :
In the following reaction, the product (A) is
Using the Gibbs energy change, \(△G° = + 63.3\  kJ\), for the following reaction,
\(Ag_2CO_3 (g) ⇋ 2Ag+ (aq) + CO_3^{2–} (aq)\)
the \(K_{sp}\) of \(Ag_2CO_3 \)(s) in water at \(25°C\) is :
\((R = 8.314\ J K^{–1} mol^{–1})\)
Which of the following will not be soluble in sodiumhydrogen carbonate?
A gardener is digging a plot of land. As he gets tired, he works more slowly. After $' t '$ minutes he is digging at a rate of $\frac {2} {\sqrt {t}} $square metres per minute. How long will it take him to dig an area of $40$ square metres ?
A steady current flows in a long wire. It is bent into a circular loop of one turn and the magnetic field at the centre of the coil is $ B $ . If the same wire is bent into a circular loop of $ n $ turns, the magnetic field at the centre of the coil is
Two concentric hollow spherical shells have radii $ r $ and $ R \left(R\,>>\,r\right) $ . A charge $ Q $ is distributed on them such that the surface charge densities are equal. The electric potential at the centre is
A balloon with mass m is descending down with an acceleration a (where a < g). How much mass should be removed from it so that it starts moving up with an acceleration $a$?
Which of the following will be most stable diazonium salt $(R\, N^{+}_{2}\,X^{-})$ ?
Which property of colloids is not dependent on the charge on colloidal particles?
Which of the following will not be soluble in sodium hydrogen carbonate?
If the function $f(x)$ defined by $\frac {x^{100}}{100}+\frac {x^{99}}{100}+\dots \frac {x^2}{100}+x+1$ then $f'(0)$ is equal to
If $x+y\leq2,x \geq 0,y \geq 0$ the point at which maximum value of $3x + 2y$ attained will be
The general solution of the differential equation $\frac {dy}{dx}+\frac {y}{x}=3x$ is
Given $0 \leq x \leq \frac {1}{2}$ then the value of $\tan \left[\sin^{-1}\left\{\frac{x}{\sqrt {2}}+\frac {\sqrt {1-x^2}} {\sqrt {2}}\right\}-\sin^{-1}x\right]$ is
A stone of mass $0.05 \,kg$ is thrown vertically upwards. What is the direction and magnitude of net force on the stone during its upward motion ?
Energy of one mole of photons of radiation whose frequency is $ 5\times 10^{14}\,Hz $ is
When longitudinal wave propagates, what happens in the region of compressions and rarefactions?
A crystalline solid $X$ reacts with $dil. HCl$ to liberate a gas $Y.Y$ decolourises acidified $KMnO_4$. When a gas $'Z'$ is slowly passed into an aqueous solution of $Y$, colloidal sulphur is obtained. $X$ and $Z$ could be, respectively
A metallic oxide reacts with water to form its hydroxide, hydrogen peroxide and also liberates oxygen. The metallic oxide could be
Period of geostationary satellite is
The equivalent resistance of two resistors connected in series is $6\, \Omega$ and their parallel equivalent resistance is $\frac{4}{3} \Omega$. What are the values of resistances ?