List of practice Questions

1.8 g of glucose (molar mass 180 g/mol) is dissolved in 0.1 kg of water. The freezing point of the solution (in °C) is
(K$_f$ for water = 1.86 K kg mol$^{-1}$)
The energy conversion involved in a galvanic cell is
The conjugate base of NH$_4^+$ is
In long form of periodic table, the d-block element which forms interstitial hydride is
The bond order values of anions of sodium peroxide and potassium super oxide are respectively
The two stable isotopes of carbon present in the naturally occurring carbon are
The major product ‘B’ of the following reaction sequence is
major product ‘B’ of the following reaction sequence is
Arrange the following in the correct order of their bond orders: N$_2$, O$_2$, O$_2^+$, O$_2^-$
The element with the electronic configuration [Kr]4d$^{10}$5s$^0$ is
A light from Paschen series of hydrogen atom is able to eject photoelectrons from a metal. Then the work function of the metal is
The average number of photons emitted per second by a laser of power \(6.6 \times 10^{-3}\) W producing a light of wavelength 600 nm is (Planck’s constant, \(h = 6.6 \times 10^{-34}\) J·s)
The average number of photons emitted per second by a laser of power \(6.6 \times 10^{-3}\) W producing a light of wavelength 600 nm is (Planck’s constant, \(h = 6.6 \times 10^{-34}\) J·s)
A particle of charge \(1.0 \times 10^{-16}\) C moves through a uniform magnetic field \(\vec{B} = B_0 (\hat{i} + 4\hat{j})\) T. The particle velocity at some instant is \(\vec{V} = (2\hat{i} + 4\hat{j})\) m/s and the magnetic force acting on it is \(3 \times 10^{-16}\) N. The magnitude of \(B_0\) is
A solenoid has the length 1 m and the area of cross section \(0.02\ \text{m}^2\). If no. of turns in the solenoid is 5000 then the self inductance of the solenoid is
A beam of light is incident from air on the surface of a liquid. The angle of incidence is $\theta$ and the angle of refraction is $\alpha$. If the critical angle for liquid when surrounded by air is $\theta_{c}$ then $\sin\theta_{c}$ is
In Young's double slit experiment, light of wavelength 480 nm is incident on two slits separated by a distance of \(4 \times 10^{-7}\) m. If a thin plate of thickness \(1.4 \times 10^{-6}\) m and refractive index \(\frac{13}{7}\) is placed between one of the slits and screen, the phase difference introduced at the position of central maxima is
Two wires made of the same material are clamped at one end and pulled by the same force at the other end. The length and radius of the first wire are three times those of the second. If the increase in the length of the first wire is \(x\), then the increase in the length of the second wire is:
The coefficient of volume expansion of a material is \(5 \times 10^{-4}\ ^\circ \text{C}^{-1}\). The fractional change in its density for a \(40^\circ\text{C}\) rise in temperature is nearly
Two trains A and B are moving towards each other with speeds 72 kmh$^{-1}$ and 36 kmh$^{-1}$ respectively. The train-A whistles at 640 Hz frequency. Before the trains meet, frequency of sound heard by a passenger in Train-B is (Speed of sound in air = 340 ms$^{-1}$)
A lift raises 50 passengers of average weight \(600\,\text{N}\) each to a height of \(100\,\text{m}\) in time \(T\). If average power used is \(15\,\text{kW}\), then the value of \(T\) is:
If the earth were to suddenly shrink to \( \dfrac{1}{64} \) of its present volume, keeping mass constant, then what would be the new duration of the day?
A wheel is rotating with angular speed \( \omega \). Another identical wheel with moment of inertia three times the first is initially at rest. It is suddenly coupled to the first. What fraction of the original kinetic energy is lost?
The position of a \(3\,\text{kg}\) mass moving along the \(x\)-axis is given by \(x = 0.3 \cos (\omega t)\,\text{m}\). If \(K(t)\) denotes the kinetic energy at time \(t\), then the value of \( \dfrac{K\left( \dfrac{\pi}{60} \right)}{K\left( \dfrac{\pi}{30} \right)} \) is:
The differential equation of the family of circles passing through origin and having centers on x-axis is:
The number of significant figures in quantity \( 0.00005041 \; \text{J} \) is: