List of practice Questions

A certain mass of a gas occupies a volume of \(2~\text{dm}^3\) at STP. At what temperature will the volume of the gas become double, keeping the pressure constant?
Which type of overlap is involved in the formation of O–H bonds in a water molecule?
The compound which causes antidepressant action on the central nervous system is
A satellite of mass \( m \), revolving round the earth of radius \( r \), has kinetic energy \( E \). Its angular momentum is
The density and bulk modulus of a metal bar is \( \rho \) and \( K \) respectively. When pressure \( P \) is applied from all sides to that metal bar, the increase in its density is
When light enters glass from vacuum then the wavelength of light
An electron revolving in circular orbit of radius \( r \) with velocity \( v \) and frequency \( \nu \) has orbital magnetic moment \( M \). If the frequency of revolution is doubled, then the new magnetic moment will be
The motion of a rocket in upward direction with high speed is based on the principle of conservation of
What is the cell constant of \( \frac{N}{10} \) KCl solution at \(25^\circ\text{C}\), if conductivity and resistance of the solution are \(0.0112~\Omega^{-1}\text{cm}^{-1}\) and \(55.0~\Omega\) respectively?
Two coherent sources of intensities \( I_1 \) and \( I_2 \) produce an interference pattern on screen. The maximum intensity in the interference pattern is
A metal surface having work function \( w_0 \) emits photoelectrons when photons of energy \( E \) are incident on it. The electron enters a uniform magnetic field \( B \) in perpendicular direction and moves in a circular path of radius \( r \). Then \( r \) is equal to ( \( m \) and \( e \) are the mass and charge of electron respectively)
A large vessel completely filled with water has two holes ‘A’ and ‘B’ at depths \( h \) and \( 4h \) from the top. Hole ‘A’ is a square of side \( L \) and hole ‘B’ is a circle of radius \( R \). If from both the holes same quantity of water is flowing per second, then side of square hole is
A progressive wave of frequency \( 50\,\text{Hz} \) is travelling with velocity \( 350\,\text{m s}^{-1} \) through a medium. The change in phase at a given point in a time interval of \( 0.01\,\text{s} \) is
A small mass \( m \) is suspended at the end of a wire having negligible mass, length \( L \) and cross-sectional area \( A \). The frequency of oscillation for the S.H.M. along the vertical line is ( \( Y \) = Young’s modulus of the wire )
An air-filled parallel plate capacitor has a uniform electric field \( E \) in the space between the plates. If the distance between the plates is \( d \) and area of each plate is \( A \), the energy stored in the capacitor is (\( \varepsilon_0 \) = permittivity of free space)
The escape velocity from the surface of earth of mass \( M \) and radius \( R \) is \( V_e \). The escape velocity from the surface of a planet whose mass and radius are 3 times that of the earth will be
Which one of the following symbols represents a photodiode?
An electron and proton are accelerated through the same potential difference. The ratio of their de-Broglie wavelengths \( \lambda_p \) to \( \lambda_e \) is (\( m_e \) = mass of electron, \( m_p \) = mass of proton)
The ratio of frequencies of oscillations of two simple pendulums is \( 3:4 \). Their lengths are in the ratio
Let \( M \) and \( L \) be the mass and length of a thin uniform rod respectively. In the first case, the axis of rotation passes through the centre and is perpendicular to its length. In the second case, the axis of rotation passes through one end and is perpendicular to its length. The ratio of radii of gyration in first case to second case is
The magnetic moment produced in a sample of 2 grams is \( 8 \times 10^{-7} \,\text{A m}^2 \). If its density is \( 4\,\text{g cm}^{-3} \), then the magnetization of the sample is
A sonometer wire resonates with a given tuning fork forming standing waves with 5 antinodes when mass of 9 kg is suspended from the wire. When mass \( M \) is suspended from the wire with same fork and same length between two bridges, 3 antinodes are formed. The mass \( M \) is
In any Bohr orbit of hydrogen atom, the ratio of kinetic energy to potential energy of revolving electron at a distance \( r \) from the nucleus is
A vector \( \vec{A} \) when added to the sum of the vectors \( (\hat{i}-2\hat{j}+2\hat{k}) \) and \( (-2\hat{i}+\hat{j}-\hat{k}) \) gives a unit vector along y-axis. The magnitude of vector \( \vec{A} \) is
The angular speed of the minute hand of a clock in degrees per second is