Question Paper (Section wise)
Drift speed of electrons, when 1.5 of current flows in a copper wire of cross section 5 mm2, is v. If the electrons density in copper is 9 × 1028 /m3 the value of v in mm/s is close to (Take charge of electron to be = 1.6 × 10-19 C)
An infinitely long current carrying wire and a small current carrying loop are in the plane of the paper as shown. The radius of the loop is and distance of its centre from the wire is d (d >> a). If the loop applies a force F on the wire then:
A bar magnet is demagnetized by inserting it inside a solenoid of length 0.2 m, 100 turns, and carrying a current of 5.2 A. The coercivity of the bar magnet is
At some location on earth the horizontal component of Earth’s magnetic field is 18 × 10-6 T. At this location, magnetic needle of length 0.12 m and pole strength 1.8 A m is suspended from its mid-point using a thread, it makes 45° angle with horizontal in equilibrium. To keep this needle horizontal, the vertical force that should be applied at one of its ends is:
Two stars of masses 3 × 1031 kg each, and at distance 2 × 1011 m rotate in a plane about their common centre of mass O. A meteorite passes through O moving perpendicular to the star’s rotation plane. In order to escape from the gravitation field of this double star the minimum speed that meteorite should have at O is: (Take Gravitational constant G = 6.67 × 10-11Nm2).
A particle starts form the origin at time t = 0 and moves along the positive x-axis. The graph of velocity with respects to time is shown in figure. What is the position of the particle at time t = 5s?
Three charges Q, +q and +q are placed at the vertices of a right – angle isosceles triangle as shown below. The net electrostatic energy of the configuration is zero, if the value of Q is:
Two equal resistances when connected in series to a battery, consume electric power of 60 W. If these resistances are now connected in parallel combination to the same battery, the electric power consumed will be.
A rigid diatomic ideal gas undergoes an adiabatic process at room temperature. The rational between temperature and volume for the process is TVx = constant, then x is:
The moment if inertia of a solid sphere, about an axis parallel to its diameter and at a distance of x from it, is ‘I(x)’. Which one of the graphs represents the variation of l(x) with x correctly?
Let l, r, c and v represent inductance, resistance, capacitance and voltage, respectively. The dimension of in SI units will be:
A parallel plate capacitor with plates of area 1 m2 each, are at a separation of 0.1 m. If the electric field between the plates is 100 N/C, the magnitude of charge on each plate is:
The electric field in a region is given by where E is in NC-1 and x in meters. The values of constants are A = 20 SI unit and B = 10 SI unit. If the potential at x = = 1 is V1 and that at x= -5 is V2 then V1 – V2 is:
A rectangle solid box of length 0.3 m is held horizontally, with one of its sided on the edge of a platform of height 5. When released, it slips off the table in a very short time = 0.01 s, remaining essentially horizontal. The angle by which it would rotate when it hits the ground will be (in radians) close to:
A uniform rectangular thin sheet ABCD of mass M has length a and breadth b, as shown in the figure. If the shaded portion HBGO is cut off, the coordinates of the centre of mass of the remaining portion will be:
In the density measurement of a cube, the mass and edge length are measured as (10.00 ± 0.10) kg and (0.10 ± 0.01) m, respectively. The error in the measurement of density is:
A signal A cos ωt is transmitted using ν0 sin ω0t as carrier wave. The correct amplitude modulated (AM) signal is:
A body of mass 2 kg makes an elastic collision with a second body at rest and continues to move in the original direction but with one fourth of its original speed. What is the mass of the second body?
When heat Q is supplied to a diatomic gas of rigid molecules at constant volume its temperature increase by ∆T. The heat required to produce the same change in temperature, at constant pressure is
Space between two concentric conducting spheres of radii a and b (b > a) is filled with a medium of resistivity ρ. The resistance between the two spheres will be
Temperature difference of 120 °C is maintained between two ends of a uniform rod AB of length 2L. Another bent rod PQ, of same cross-section as AB and length , is connected across AB (see figure). In steady state, temperature difference between P and Q will be closed to ________ °C.
A gas can be taken from A to B via two different processes ACB and ADB. When path ACB is used 60 J of heat flows into the system. If path ADB is used work down by the system is 10 J. the heat flow into the system in path ADB is _____ J.
A copper wire is stretched to make it 0.5% longer. The percentage change in its electric resistance if its volume remains unchanged is ______.
A sample of radioactive material A, that has an activity of 10mCi (1 Ci = 3.7 × 1010 decays/s), has twice the number of nuclei as another sample of different radioactive material B which has an activity of 20mCi. The correct choice for half-lives of B is _______ days.
A conducting circular loop made of a thin wire, has area 3.5 × 10-3 m2 resistance 10 Ω. It is placed perpendicular to a time dependent magnetic field B(t) = (0.4T) sin (50πt). The field is uniform in space. Then the net charge flowing through the loop during t = 0 s and t = 10 ms is close to ______ mC.