Karnataka CET- 2011(Physics)

If C be the capacitance and V be the electric potential, then the dimensional formula of CV² is

The height y and the distance x along the horizontal plane of a projectile on a certain planet(with no surrounding atmosphere) are given by y = 8t – 5t² meter and x = 6t, where t is in seconds. The velocity with which the projectile is projected is __________

A body of mass 5 kg is thrown vertically up with a kinetic energy of 490 J. The height at which the kinetic energy of the body becomes half of the original value is _____ (acceleration due to gravity = 9.8 ms^-2)

A solid sphere of mass ‘m’ rolls down an inclined plane without slipping, starting from rest at the top of an inclined plane. The linear speed of the sphere at the bottom of the inclined plane is ‘v’. The kinetic energy of the sphere at the bottom is ______

Two satellites of mass m and 9 m are orbiting a planet in orbits of radius R. Their periods of revolution will be in the ratio of

The following four wires of length L and radius r are made of the same material. Which of these will have the largest extension, when the same tension is applied?

The resultant of two forces acting at an angle of 120^o is 10 kg is perpendicular to one of the forces. The force is

Eight equal drops of water are falling through air with a steady velocity of 10 cm s^-1. If the drops combine to form a single drop big in size, then the terminal velocity of this big drop is _______

Two capillary tubes of different diameters are dipped in water. The rise of water is _____

A perfect gas at 27 ^oC is heated at constant pressure so as to double its volume. The increase in temperature of the gas will be

Three identical rods A, B and C are placed end to end. A temperature difference is maintained between the free ends of A and C. The thermal conductivity of B is THRICE that of C and HALF of that of A. The effective thermal conductivity of the system will be _______ (K_A is the thermal conductivity of rod A)

The quantities of heat required to raise the temperatures of two copper spheres of radii r₁ and r₂ (r₁ = 1.5 r₂) through 1 K are in the ratio of _____

A particle executing a simple harmonic motion has a period of 6 sec. The time taken by the particle to move from the mean position to half the amplitude, starting from the mean position is ______

The equation of a wave is given by y = 10 sin[(2πt/45) + α]. If the displacement is 5 cm at t = 0, then the total phase at t = 7.5 sec is ___________

Two tuning forks, A and B, produce notes of frequencies 258 Hz and 262 Hz. An unknown note sounded with A produces certain beats. When the same note is sounded with B, the beat frequency gets doubled. The unknown frequency is ______

A wire under tension vibrates with a fundamental frequency of 600 Hz. If the length of the wire is doubled, the radius is halved and the wire is made to vibrate under one-ninth the tension. Then the fundamental frequency will become _____

Faintest stars are called ______

Wavelength of given light waves in air and in a medium are 6000 Å and 4000 Å respectively. The critical angle is

The time required for the light to pass through a glass slab (refractive index = 1.5) of thickness 4 mm is _______ ( c = 3 × 10⁸ ms^-1, speed of the light in free space)

A prism having refractive index 1.414 and refracting angle 30^o has one of the refracting surfaces silvered. A beam of light incident on the other refracting surface will retrace its path, if the angle of incidence is ____

A planoconvex lens has a maximum thikness of 6 cm. When placed on a horizontal table with the curved surface in contact with the table surface, the apparent depth of the bottom most point of the lens is found to be 4 cm. If the lens is inverted such that the plane face of the lens is in contact with the surface of the table, the apparent depth of the center of the plane face is found to be 17/4 cm. The radius of the curvature of the lens is______

Two thin lenses have a combined power of +9D. When they are separated by a distance of 20 cm, their equivalent power becomes +27/5 D. Their individual powers (in diopters) are _____

Wavefront is the locus of all points, where the particles of the medium vibrate with the same _____

Two monochromatic light waves of amplitudes 3A and 2A interfering at a point have a phase difference of 60^o. The intensity at that point will be proportional to ______

Consider the following statements in case of Young’s double slit experiment.

1. A slit S is necessary if we use an ordinary extended source of light
2. A slit S is not needed if we use an ordinary but well collimated beam of light
3. A slit S is not needed if we use a spatially coherent source of light

Which of the above statements are correct?

A parallel beam of light of wavelength 6000 Å gets diffracted by a single slit of width 0.3 mm. The angular position of the first minima of diffracted light is _____

The critical angle of a certain medium is Sin^-1(3/5). The polarizing angle of the medium is ______

Two identical charged spheres of material density ‘ρ’, suspended from the same point by inextensible strings of equal length make an angle ‘θ’ between the strings. When suspended in a liquid of density ‘σ’ the angle θ remains the same. The dielectric constant ‘K’ of the liquid is ______

The electric field at a point due to an electric dipole, on an axis inclined at an angle θ (<90^o) to the dipole axis, is perpendicular to the dipole axis, if the angle θ is

A conductor wire having 10²⁹ free electrons/m³ carries a current of 20A. If the cross-section of the wire is 1 mm², then the drift velocity of electrons will be ______ (e = 1.6 × 10^-19 C).

A resistor has a color code of green, blue, brown and silver. What is its resistance?

A particle of charge ‘e’ and mass ‘m’ moves with a velocity ‘v’ in a magnetic field ‘B’ applied perpendicular to the motion of the particle. The radius ‘r’ of its path in the field is _______

The deflection in a moving coil galvanometer is reduced to half when it is shunted with a 40 Ω The resistance of the galvanometer is _______

A current of (2/√3)A produces a deflection of 60^o in a tangent galvanometer. The reduction factor is _______

In an A.C. circuit, V and I are given by V = 150 Sin(150t) volt and I = 150 Sin[150t + (π/3)] ampere. The power dissipated in the circuit is

The energy stored in an inductor of self inductance ‘L’ henry carrying a current of ‘I’ ampere is_____

A transformer works on the principle of _______

Flash spectrum confirms a/an _________

The photoeletrical threshold wavelength for the silver is λ₀. The energy of the electron ejected from the surface of the silver by an incident wavelength λ(λ < λ₀) will be ________

Rutherford’s atomic model could account for _______

When an electron jumps from the orbit n = 2 to n = 4, then wavelength of the radiations absorbed will be ___________ (R is Rydberg’s constant)

The thermonuclear reaction of hydrogen inside the stars is taking place by a cycle of operations. The particular element which acts as a catalyst is ____________

The ratio of minimum wavelength of Lyman and balmer series will be ________

The fraction of the initial number of radioactive nuclie which remain undecayed after half of a half-time of the radioactive sample is ______

1 curie represents _____________

An electron of mass ‘m_e’ and a proton of mass ‘m_p’ are moving with the same speed. The ratio of their de-Broglie’s wavelengths λ_e/ λ_p is _______

If the scattering intensity of a liquid is 8 units at a wavelength of 500 nm, then the scattering intensity at a wavelength of 400 nm will be approximately _____