All questions having 4 marks each and 1 mark is deduted for every incorrect answer.
Q. Two identical piano wires kept under the same tension T have a fundamental frequency of 600 Hz. The
fractional increase in the tension of one of the wires which will lead to occurrence of 6 beats/s when both the wires oscillate together would be :
In the following figure, the diodes which are forward biased, are :
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The threshold frequency for a photosensitive metal is 3.3 × 1014 Hz. If light of frequency 8.2 × 1014 Hz is
incident on this metal, the cut-off voltage for the photoelectric emission is nearly :
A galvanometer of resistance, G is shunted by a resistance S ohm. To keep the main current in the circuit
unchanged, the resistance to be put in series with the galvanometer is :
A square loop, carrying a steady current I, is placed in a horizontal plane near a long straight conductor
carrying a steady current I1 at a distance d from the conductor as shown in figure. The loop will experience :
Athermocouple of negligible resistance produces an e.m.f. of 40 μV/°C in the linear range of temperature. A galvanometer of resistance 10 ohm whose sensitivity is 1μA/div, is employed with the termocouple. The
smallest value of temperature difference that can be detected by the system will be :
The r.m.s. value of potential difference V shown in the figure is :
A coil has resistance 30 ohm and inductive reactance 20 Ohm at 50 Hz frequency. If an ac source, of 200 volt, 100 Hz, is connected across the coil, the current in the coil will be :
A particle of mass m is thrown upwards from the surface of the earth, with a velocity u. The mass and the radius of the earth are , respectively,Mand R. G is gravitational constant and g is acceleration due to gravity on the surface of the earth. The minimum value of u so that the particle does not return back to earth, is :
Pure Si at 500K has equal number of electron (ne) and hole (nh) concentrations of 1.5 × 1016 m-3. Doping by indium increases nh to 4.5 × 1022 m-3. The doped semiconductor is of :
Charge q is uniformly spread on a thin ring of radius R. The ring rotates about its axis with a uniform
frequency f Hz. The magnitude of magnetic induction at the centre of the ring is
Azener diode, having breakdown voltage equal to 15V, is used in a voltage regulator circuit shown in figure. The current through the diode is :
A particle covers half of its total distance with speed v1 and the rest half distance with speed v2. Its average
speed during the complete journey is :
The electric potential V at any point (x, y, z), all in meters in space is given by V = 4x2 volt. The electric field
at the point (1, 0, 2) in volt/meter is :
Ashort bar magnet of magnetic moment 0.4J T-1 is place in a uniform magnetic field of 0.16 T. The magnet is stable equilibrium when the potential energy is:
A thin prism of angle 15º made of glass of refractive index µ1 = 1.5 is combined with another prism of glass
of refractive index µ2 = 1.75. the combination of the prism produces dispersion without deviation . The angle of the second prism should be:
Aconveyor belt ismoving at a constant speed of 2m/s.Abox is gently dropped on it. The coefficient of friction
between them is µ= 0.5. The distance that the box will move relative to belt before coming to rest on it taking
g = 10 ms-2, is :
A mass of diatomic gas (γ = 1.4) at a pressure of 2 atmospheres is compressed adiabatically so that its
temperature rise from 27ºC to 927ºC. The pressure of the gas is final state is :
A mass m moving horizontally (along the x-axis) with velocity v collides and sticks to mass of 3m moving
vertically upward (along the y-axis) with velocity 2v. The final velocity of the combination is :
Two particle are oscillating along two close parallel straight lines side by side, with the same frequency and
amplitudes. They pass each other, moving in opposite directions when their displacement is half of the
amplitude. The mean positions of the two particles lie on a straight line perpendicular to the paths of the two particles. The phase difference is :
A small mass attached to a string rotates on frictionless table top as shown. If the tension is the string is increased by pulling the string causing the radius of the circular motion to decrease by a factor of 2, the kinetic energy of the mass will:
The density of material in CGS system of units is 4g/cm3. In a system of units in which unit of lengths is
10 cm and unit of mass is 100 g, the value of density of material will be :
An electron in the hydrogen atom jumps from excited state n to the ground state. The wavelength so emitted illuminates a photosensitivematerial having work function 2.75 eV. If the stopping potential of the photoelectron is 10 V, the value of n is :
A particle of mass M is situated at the centre of spherical shell of mass and radius a. The magnitude of the
gravitational potential at a point situated at a/2 distance from the centre, will be:
Two radioactive nuclei P and Q, in a given sample decay into a stable nucleolus R. At time t = 0, number of
P species are 4 N0 and that of Q are N0. Half-life of P (for conversion to R) is 1 minute where as that of Q is
2 minutes. Initially there are no nuclei of R present in the sample. When number of nuclei of P and Q are
equal, the number of nuclei of R present in the sample would be -
A projectile is fired at an angle of 45º with the horizontal. Elevation angle of the projectile at its highest point
as seen from the point of projection is :
Out of the following which one is not a possible energy for a photon to be emitted by hydrogen atom
according to Bohr's atomic model?
In the circuit shown in the figure, if potential at point A is taken to be zero the potential at point B is :
A conversing beam of rays is incident on a diverging lens. Having passed though the lens the rays intersect at a point 15 cm from the lens on the opposite side. If the lens is removed the point where the rays meets will move 5 cm closer to the lens. The focal length of the lens is :
Three charges, each +q, are placed at the corners of an isosceles triangle ABC of sides BC and AC, 2a. D
and E are the mid points of BC and CA. The work done in taking a charge Q from D to E is: