List of practice Questions

The $x$-coordinate of the incentre of the triangle that has the coordinates of mid-points of its sides as $(0, 1), (1, 1)$ and $(1,0)$ is
Assume that a drop of liquid evaporates by decrease in its surface energy, so that its temperature remains unchanged. What should be the minimum radius of the drop for this to be possible? The surface tension is $T$, density of liquid is $\rho$ and $L$ is its latent heat of vaporization.
Arrange the following compounds in the order of decreasing acidity
Arrange in the correct order of stability (decreasing order) for the following molecules :
Compound $( A ), C_8H_9Br$ gives a white precipitate when warmed with alcoholic $AgNO_3$. Oxidation of $(A)$ gives an acid $(B)$, $C_8H_6O$ 4. $(B)$ easily forms anhydride on heating. Identify the compound $(A)$.
Choose the correct sketch of the magnetic field lines of a circular current loop shown by the dot ? and the cross ?.
Calcination is the process in which:
Bond distance in $HF$ is $9.17 \times 10^{-11}\, m$. Dipole moment of $HF$ is $6.10^4 \times 10^{-30}\, Cm$ . The percentage ionic character in $HF$ will be : (electron charge $= 1.60 \times 10^{-19}\, C$)
Correct set up to verify Ohm?s law is :
Electron gain enthalpy with negative sign of fluorine is less than that of chlorine due to :
Equimolar solutions of the following compounds are prepared separately in water. Which will have the lowest pH value ?
Experimentally it was found that a metal oxide has formula $ M_{0.98}O. $ Metal $M$, present as $ M^{2+} $ and $ M^{3+} $ in its oxide.Fraction of the metal which exists as $ M^{3+} $ would be
Figure shows a circuit in which three identical diodes are used. Each diode has forward resistance of $20 \,\Omega$ and infinite backward resistance. Resistors $R_{1}=R_{2}=R_{3}=50\,\Omega$. Battery voltage is $6\, V$. The current through $R_3$ is:
For which of the following compounds Kjeldahl method can be used to determine the percentage of Nitrogen ?
Formaldehyde can be distinguished from acetaldehyde by the use of :

Given (A) \(n=5, m_{\ell} =+1\) (B) \(n=2, \ell=1, m_{\ell} =1, m_{s} =-\frac{1}{2}\) The maximum number of electron(s) in an atom that can have the quantum numbers as given in (A) and (B) are respectively:

Glycosidic linkage is actually an :
How many grams of methyl alcohol should be added to $10$ litre tank of water to prevent its freezing at $268\, K$ ? $\left(K_{f} \, for\, water\, is \,1.86 K\, kg \, mol^{-1} \right)$
If $f(x) = sin\, (sin\, x)$ and $f'' (x) + tan \,x\,f'(x)+ g(x) = 0,$ then $g(x) $ is :
If $\int \frac{dx}{x+x^{7}} = p\left(x\right)$ then, $\int \frac{x^{6}}{x+x^{7}}dx$ is equal to:

The velocity and acceleration vectors of a particle undergoing circular motion are \( \vec{v} = 2i + 4j \, \text{m/s} \) and \( \vec{a} = 2i + 4j \, \text{m/s}^2 \) respectively at an instant of time. The radius of the circle is a

A man runs at a speed of 4 m/s to overtake a standing bus. When he is 6 m behind the door at \( t = 0 \), the bus moves forward and continuous with a constant acceleration of 1.2 m/s². The man reaches the door in time t. Then,

A bob is hanging over a pulley inside a car moving with constant acceleration \( a \) directed horizontally as shown. The second end of the string is in the hand of a person standing in the car. The car is moving with constant acceleration \( a \) horizontally as shown in figure. Other end of the string is pulled with constant acceleration \( a \) vertically. The tension in the string is equal to â

A block of mass \( m \) is placed on a smooth inclined wedge ABC of inclination \( \theta \) as shown in the figure. The wedge is given an acceleration \( a \) towards the right. The relation between \( a \) and \( g \) for the block to remain stationary on the wedge is 


Two parallel conductors carry current in opposite directions as shown in figure. One conductor carries a current of 10.0 A. Point C is a distance \( \frac{d}{2} \) to the right of the 10.0 A current. If \( d = 18 \, \text{cm} \) and \( I \) is adjusted so that the magnetic field at C is zero, the value of the current \( I \) is