List of practice Questions

Two inclined frictionless tracks, one gradual and the other steep meet at $A$ from where two stones are allowed to slide down from rest, one on each track as shown in figure. Which of the following statements is correct?
Two identical cells connected in series send $10\,A$ current through a $5\Omega$ resistor. When they are connected in parallel, they send $8\,A$ current through the same resistance, the internal resistance of each cell is
Two identical charged particles enter a uniform magnetic field with same speed but at angles 30$^\circ$ and 60$^\circ$ with field. Let a , b and c be the ratio of their time periods, radii and pitches of the helical paths then:
Two identical containers $A$ and $B$ with frictionless pistons contain the same ideal gas at the same temperature and the same volume $V$. The mass of the gas in $A$ is $m_A$ and that in $B$ is $m_B$. The gas in each cylinder is now allowed to expand isothermally to the same final volume $2\,V$. The changes in the pressure in $A$ and $B$ are found to be $\Delta p$ and $1.5 \, \Delta p$, respectively. Then
Two identical metal spheres A and B are supported on insulating stands and placed in contact. What kind of charges will A and B develop when a negatively charged ebonite rod is brought near A?
Two identical ball bearings in contact with each other and resting on a frictionless table are hit headon by another ball bearing of the same mass moving initially with a speed $V$ as shown in figure.
If the collision is elastic, which of the following is a possible result after collision?
Two identical balls $A$ and $B$ are released from the positions shown in the figure. They collide elastically on horizontal portion $MN$. The ratio of heights attained by $A$ and $B$ after collision will be (neglect friction)
Two identical bar magnets each of dipole moment $p_m$ and length l are perpendicular to each other as shown in the figure. The dipole moment of the combination is
Two identical capacitors are joined in parallel, charged to a potential $V$ , separated and then connected in series, the positive plate of one is connected to the negative of the other. Which of the following is true?
Two forces whose magnitudes are in the ratio 3:5 give a resultant of 35N. If the angle between them is $60^\circ$, the magnitude of each force is.
Two $H$ atoms in the ground state collide inelastically. The maximum amount by which their combined kinetic energy is reduced is
Two heater wires of equal length are first connected in series and then in parallel. The ratio of heat produced in the two cases is
Two exactly similar wires o f steel $(y=20 \times 10^{11}\, dyne/cm^2)$ and copper $(y=12 \times 10^{11}\, dyne/cm^2)$are stretched by equal forces. If the total elongation is 1cm, elongation of copper wire is
Two finite sets have $m$ and $n$ elements. The total number of subsets of the first set is $56$ more than the total number of subsets of the second set. The values of $m$ and $n$ are
Two flasks of equal volume contain $CO_2$ and $SO_2$ respectively at 25$^\circ$ C and 1.5 atm. pressure. Which of the following is equal in them ?
Two forces of equal magnitude $F$ act at a point. If the angle between them is $?$, then the magnitude of the resultant force is
Two equally charged identical metal spheres A and B repel each other with a force F. Another identical uncharged sphere C is touched to A and then placed midway between A and B. The net force on C is in the direction
Two electrons present in $M$ shell will differ in
Two enzymes common to EMP pathway and C cycle are
Two dice are tossed 6 times. Then the probability that 7 will show an exactly four of the tosses is:
Two discs have same mass and thickness. Their materials have densities $d_1$ and $d_2$, then their MOl about central axis will be
Two discs of moments of inertia $I_1$ and $I_2$ about their respective axes (normal to the disc and passing through the centre), and rotating with angular speed $\omega_1$ and $\omega_2$ are brought into contact face to face with their axes of rotation coinciding with each other. What is the loss in kinetic energy of the system in the process?
Two electric bulbs, one of $200\, V$, $40\, W$ and other of $200\,V$, $100 \,W$ are connected in a domestic circuit. Then
Two curs 1 & 2 starting from rest are moving With speeds $V_1$ and $V_2 \,m/s (V_1 > V_2)$ Car 2 is ahead of car '1' by s meter when the driver of the car 1 sees car '2'. What minimum retardation should be given to car '1' to avoid collision
Two dice and two coins are tossed. The probability that both the coins show heads and the sum of the numbers found on the dice is a prime number, is