List of practice Questions

Phenyl magnesium bromide reacts with methanol to give :

Total volume of atoms present in a face-centred cubic unit cell of a metal is (r is atomic radius):

The IUPAC name for the complex $[Co(NO_2)(NH_3)_5]Cl_2$ is:

A body initially at rest is moving with uniform acceleration $a$. Its velocity after $n\, s$ is $v$. The displacement of the body in $2\, s$ is :

The magnetic force on a point charge is $\vec{ F }= q (\vec{ V } \times \vec{ B })$ Here, $q=$ electric charge $\vec{ V }=$ velocity of point charge $\vec{ B }=$ magnetic Held The dimension of $\vec{B}$ is :

The first diffraction minimum due to single slit diffraction is $ \theta $ , for a light of wavelength $5000\,?$. If the width of the slit is $ 1\times 10^{-4}, $ then the value of $\theta$ is :

A velocity of a particle at an instant is $10\, m / s$. After $3\, s$ its velocity will become $16\, m / s$. The velocity at $2\, s$, before the given instant will be :

Two stones are projected with same velocity $v$ at an angle $\theta$ and $(90-\theta)$. If $H$ and $H_{1}$ are the greatest heights in the two paths, what is the relation between $R , H$ and $H_{1}$ ?

A particle moves with a velocity $(5i -3j + 6k) ms^{-1}$ undre the influence of a constant force $F=(10 i +10 j +20 K)N .$ The instantaneous power applied to the particle is

A weight $w$ is suspended from the midpoint of a rope, whose ends are at the same level. In order to make the rope perfectly horizontal, the force applied to each of its ends must be:

The energy spectrum of $\beta$-particles [number N(E) as a function of $\beta$-energy E] emitted from a radioactive source is :

In a common-base mode of a transistor, the collector current is 5.488 mA for an emitter current of 5.60 mA. The value of the base current amplification factor ($\beta$) will be :

In a series resonant $LCR$ circuit, the voltage across $R$ is $100$ volts and $R = 1\,\Omega$ with $C = 2\mu F$. The resonant frequency $\omega$ is $200$ rad/s. At resonance the voltage across $L$ is :

A long solenoid has $200$ turns per cm and carries a current $i$. The magnetic field at its centre is $6.28 \times 10^{-2}$ weber/$m^2$. Another long solenoid has 100 turns per cm and it carries a current $i/3$. The value of the magnetic field at its centre is:

Which of the following units denotes the dimensions $[ML^2/Q^2],$ where $Q$ denotes the electric charge ?

A string is stretched between fixed points separated by $75.0\, cm$. It is observed to have resonant frequencies of $420\, Hz$ and $315\, Hz$. There are no other resonant frequencies between these two. Then, the lowest resonant frequency for this string is :

A large ship can float but a steel needle sinks because of:

A lens is made of flint glass (refractive index $=1.5$ ). When the lens is immersed in a liquid of refractive index $1.25$, the focal length :

An object is kept on a smooth inclined plane of 1 in $l$. The horizontal acceleration to be imparted to the inclined plane so that the object is stationary relative to the incline is

If $E$ = energy, $G$ = gravitational constant, $I$ = impulse and $M$ = mass, the dimensions of $\frac{GIM^{2}}{E^{2}}$ are same as that of

Which of the following expressions is that of a harmonic progressive wave?

A point source emits sound equally in all directions in a non-absorbing medium. Two point P and Q are at distances of 2 m and 3 m respectively from the source. The ratio of the intensities of the waves at P and Q is

Two parallel large thin metal sheets have equal surface charge densities $\left(\sigma=26.4\times10^{-12} c m^{2}\right)$ of opposite signs. The electric field between these sheets is

A hole is in the bottom of the tank having water. If total pressure at the bottom is $3$ atm $(1 \,atm = 10^{5}\, Nm^{-2})$, then velocity of water flowing from hole is

Advancement in genetic engineering has been possible due to discovery of