List of practice Questions

Two spheres each of mass $M$ and radius $R$ are separated by a distance of $r$. The gravitational potential at the midpoint of the line joining the centres of the spheres is
Two solutions of X and Y electrolytes are taken in two beakers and diluted by adding 500 mL of water. $\Lambda_{m}$ of X increases by 1.5 times while that of Y increases by 20 times, what could be the electrolytes X and Y?
Two sources of light of wavelength $2500\, ? $ and $3500 \,? $ are used in Young?? double slit experiment simultaneously. Which orders of fringes of two wavelength patterns coincide?
Two slits are made one millimeter apart and the screen is placed one metre away. The fringe separation when blue green light of wavelength $500\, nm$ is used is
Two slits separated by a distance of 1 mm are illuminated with red light of wavelength $6.5 ? 10^{-7}\, m$. The interference fringes are observed on a screen placed 1 m from the slits. The distance between the third dark fringe and the fifth bright fringe is equal to
Two small spheres each carrying a charge $q$ are placed $1\,m$ apart. The electric force between them is $F$. If one sphere is taken around the other. The work done is :
Two short bar magnets with pole strengths of 900 ab-amp $\times$ cm and 100 ab-amp $\times$ cm are placed with their axes in the same vertical lines with similar poles facing each other. Each magnet has length of 1 cm. When the separation between the nearer poles is 1 cm. The weight of the.upper .magnet is supported by the repulsive force between the magnets. If g is 1000 $cm/sec^2$ the mass of the upper magnet is:
Two short magnets each of dipole moment M, are fastened perpendicularly at their centres. The magnitude of magnetic field at a distance d from the centre on the bisector of the right angle is
Two rods $A$ and $B$ of the same material and length have radii $r_{1} and \,r_{2}$ respectively. When they are rigidly fixed at one end and twisted by the same torque applied at the other end, the ratio Two rods $A$ and $B$ of the same material and length have radii $r_{1} and\, r_{2}$ respectively. When they are rigidly fixed at one end and twisted by the same torque applied at the other end, the ratio $\left(\frac{\text{the angle of twist at the end of A}}{\text{the angle of twist at the end of B}}\right)$
Two satellites of masses 400 kg, 500 kg are revolving around earth in different circular in defferent circular orbit of radii $r_1,r_2$ such that their kinetic energies are equal. The ratio of $r_1$ to $r_2$ is
Two quantities $A$ and $B$ have different dimensions. Which operation is physically meaningful?
Two radioactive nuclei $A$ and $B$ are taken with their disintegration constant $\lambda_{A}$ and $\lambda_{B}$ and initially $N_{A}$ and $N_{B}$ number of nuclei are taken then the time after which their undisintegrated nuclei are same is
Two radioactive substances $A$ and $B$ have decay constants $5\lambda$ and $\lambda$ respectively. At $t = 0$, they have the same number of nuclei. The ratio of number of nuclei of $A$ to those of $B$ will be $(1/e)^{2}$ after a time interval
Two planes $a_1x + b_1y + c_1z + d_1 = 0$ and $a_2x + b_2y + c_2z + d_2 = 0 $ are parallel if :
Two point charges of $1 \,\mu C$ and $-1\, \mu C$ are separated by a distance of $100\, ?$. A point $P$ is at a distance of $10 \,cm$ from the midpoint and on the perpendicular bisector of the line joining the two charges. The electric field at $P$ will be
Two point charges $Q$ and $-3Q$ are placed certain distance apart. If the electric field at the location of $Q$ be $\overrightarrow{E}$, then that at the location of $-3Q$ will be :
Two pendulums have time periods T and 5T / 4. They starts SHM at the same time from the mean position. What will be the phase difference between them after the bigger pendulum completed one oscillation?
Two photons of energies twice and thrice the work function of a.metal are incident On the metal surface. Then the ratio of maximum velocities of the photoelectrons emitted in the two cases respectively is
Two particles start simultaneously from the same point and move along two straight line . One with uniform Velocity v and other with a uniform acceleration a. If $\alpha$ is the angle between the lines of motion of two particles then the least value of relative velocity will be at time given by
Two particles are executing SHM in a straight line with same amplitude A and time period T. At time t = 0, one particle is at displacement $x_1=+A$ and the other at $x_2=-A/2$ and they are approaching towards each other. After what time they cross each other.
Two parallel plates are separated by $2\,cm$. If the potential difference between them be $20\,V$, then electric field between them is :
Two parallel rail tracks run north-south. On one track train $ A $ moves north with a speed of $ 54 \,km \,h^{-1} $ and on the other track train $ B $ moves south with a speed of $ 90 \,km\, h^{-1} $ . what is the velocity of a monkey running on the roof of the train A against its motion with a velocity of $ 18 \,km \,h^{-1} $ with respect to the train $ A $ as observed by a man standing on the ground ?
Two parallel rails of a railway track insulated from each other and with the ground are connected to a millivoltmeter. The distance between the rails is one metre. A train is traveling with a velocity of 72 kmph along the track. The reading of the millivoltmeter (in m V) is : (Vertical component of the earth's magnetic induction is $2\times 10^{-5}T$ )
Two non-ideal batteries are connected in parallel. Consider the following statements. (i) The equivalent emf is smaller than either of the two emfs. (ii) The equivalent internal resistance is smaller than either of the two internal resistance.
Two oxides of a metal contain 27.6% and 30.0% of oxygen respectively. If the formula of the first oxide is $M_3O_4$, then second one is