List of practice Questions

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 $= 1.60 \times 10^{-19}\, C$)

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/sÂ². 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

A 3.628 kg freight car moving along a horizontal rail road spur track at 7.2 km/hour strikes a bumper whose coil springs experiences a maximum compression of 30 cm in stopping the car. The elastic potential energy of the springs at the instant when they are compressed 15 cm is â

If the equation of transverse wave is $ y = x_0 \cos \left( 2\pi \left( nt - \frac{x}{\lambda} \right) \right) $, the maximum velocity of the particle is twice the wave velocity, if $ k $ is â

Three equal charges ($ q $) are placed at corners of an equilateral triangle of side $ a $. The force on any charge is â

A uniform electric field and uniform magnetic field are acting along the same direction in a certain region. If an electron is projected in the region such that its velocity is pointed along the direction of fields, then the electron

When light is refracted, which of the following does not change?

The given lens is broken into four parts and rearranged as shown. If the initial focal length is $ f $, then after rearrangement the equivalent focal length is â

In Young's double-slit experiment, the 10th-order maximum is obtained at the point of observation in the interference pattern for $ \lambda = 7000 \, \text{Ã} $. If the source is replaced by another one of wavelength 5000 Å, then the order of maximum at the same point will be â