List of practice Questions

The separation between C and O-atoms in CO is 1.2 \AA. The distance of carbon atom from the centre of mass is
A body moves a distance of 10 m under the action of force \(F = 10\) N. If the work done is 25 J, the angle which the force makes with the direction of motion is
If the density of earth is doubled keeping its radius constant, then acceleration due to gravity g is
A simple pendulum oscillates in a vertical plane. When it passes through the mean position, the tension in the string is 3 times the weight of the pendulum bob. What is the maximum displacement of the pendulum of the string with respect to the vertical?
A body of mass 8 kg is moved by a force \(F = 3x\) N, where x is the distance covered. Initial position is x = 2 m and the final position is x = 10 m. The initial speed is zero. The final speed is
Find the equivalent resistance across AB
The nuclear reaction \(_1\mathrm{H}^1 + _1\mathrm{H}^1 \rightarrow _2\mathrm{He}^4\) (mass of deuteron = 2.0141 amu and of He = 4.0024 amu) is
Photons of \(5.5\ \mathrm{eV}\) energy fall on the surface of the metal emitting photoelectrons of maximum kinetic energy \(4.0\ \mathrm{eV}\). The stopping voltage required for these electrons is
Which is different from others in units?
Continuous emission spectrum is produced by
A ball is dropped from top of a tower of 100 m height. Simultaneously another ball was thrown upward from bottom of the tower with a speed of 50 m/s. They will cross each other after (g = 10 m/s\(^2\))
The driver of a car moving towards a rocket launching pad with a speed of 6 m/s observes that the rocket is moving with speed of 10 m/s. The upward speed of the rocket as seen by the stationary observer is
A satellite revolves very near to the earth surface. Its speed should be around
Two masses \(\mathrm{m_1}\) and \(\mathrm{m_2}\) are attached to a string which passes over a frictionless smooth pulley. When \(\mathrm{m_1} = 10\ \mathrm{kg}\), \(\mathrm{m_2} = 6\ \mathrm{kg}\) the acceleration of masses is
The unit of L/R is (where L = inductance and R = resistance)
If force is proportional to square of velocity, then the dimensions of proportionality constant is
Minimum energy required to take out the only one electron from ground state of He\(^+\) is
Three blocks of masses \(2\ \mathrm{kg}\), \(3\ \mathrm{kg}\) and \(5\ \mathrm{kg}\) are connected to each other with light string and are then placed on a frictionless surface as shown in the figure. The system is pulled by a force \(\mathrm{F} = 10\ \mathrm{N}\), then tension \(\mathrm{T_1}\) is
A wave along a string has the following equation $y = 0.05 \sin (28t - 1.78x)\, m$ (where t is in seconds and x is in meters). What are the amplitude, (A) frequency (f) and wavelength $(\lambda)$ of the wave?
The term independent of x in the expansion of $\bigg(\frac{1}{60} - \frac{x^8}{81}\bigg). \bigg(2x^2 - \frac{3}{x^2}\bigg)^6$ is equal to:
A magnetic compass needle oscillates $30$ times per minute at a place where the dip is $45^{\circ}$, and $40$ times per minute where the dip is $30^{\circ}$. If $B_1$ and $B_2$ are respectively the total magnetic field due to the earth at the two places, then the ratio $B_1/B_2$ is best given by :
A man (mass = $50\, kg$) and his son (mass = $20\, kg$) are standing on a frictionless surface facing each other. The man pushes his son so that he starts moving at a speed of $0.70\, ms^{-1}$ with respect to the man. The speed of the man with respect to the surface is :
A rod of mass $'M'$ and length $'2L'$ is suspended at its middle by a wire. It exhibits torsional oscillations; If two masses each of $'m'$ are attached at distance $'L/2'$ from its centre on both sides, it reduces the oscillation frequency by $20\%$. The value of ratio $m/M$ is close to :
A series $AC$ circuit containing an inductor $(20\, mH)$, a capacitor $(120 \; \mu F) $and a resistor $(60 \Omega)$ is driven by an AC source of $24\, V/50 \,Hz$. The energy dissipated in the circuit in $60\, s$ is :
The statement that is INCORRECT about the interstitial compounds is :