Mix Test - 5...

A 100 W bulb B₁ and two 60 W bulbs B₂ and B₃ are connected to a 250 V source as shown in the figure. W₁, W₂ and W₃ are the output powers of the bulbs B₁, B₂ and B₃, respectively. Which of the following options is correct?

An ice cart of mass 60 kg rests on a horizontal snow patch with coefficient of static friction 1/3. Assuming that there is no vertical acceleration, find the magnitude of the minimum horizontal force required to move the ice cart. (g = 9.8ms^-2)

A small planet is revolving around a massive star in a circular orbit of radius R with a period of revolution T. If the gravitational force between the planet and the star is proportional to R^-5/2, then T will be proportional to

^{_{A conductor of resistance 3 is stretched uniformly till its length is doubled. The wire is now bent in the form of an equilateral triangle. The effective resistance between the ends of any side of the triangle (in ohms) is}}

In a transistor amplifier, the two AC current gains and , are defined as = and = The relation between and is

A stone projected with a velocity u, at an angle with the horizontal, reaches a maximum height H₁. When it is projected with velocity u at an angle with the horizontal, it reaches a maximum height H₂. The relation between the horizontal ranges R of the projectile H₁ and H₂ is

The dimensions of the coefficient of thermal conductivity are

A lens forms a sharp image on a screen. On inserting a parallel-sided glass slab between the lens and the screen, it is found necessary to move the screen to a distance d away from the lens in order to focus the image sharply. If the refractive index of glass relative to air is , then the thickness of the glass slab is given by

An AC series circuit contains a 4 resistance and a 3 inductive reactance. What is the impedance of the circuit?

The separation between slits is halved and between screen and slits is doubled. Find the new fringe width, if the original fringe width is W.

A particle starts SHM from a mean position. Its amplitude is 'a' and total energy is E. At one instant, its kinetic energy is 3E/4. Its displacement at that instant is

The specific heat of helium at a constant volume is 12.6 J mol^–1K^–1. What will be the specific heat of hydrogen at a constant volume (in J mol^–1K^–1)? Assume that the temperature of the gas is moderate.

An ultraviolet light of wavelength 2000 irradiates a photocell made of molybdenum metal. If the stopping potential is – 1.5 V, then what is the work function of the metal? (Planck's constant = 6.6 × 10^–34 Js)

A thin uniform rod AB of mass M and length L is hinged at one end A to the horizontal floor. Initially, it stands vertically. It is allowed to fall freely on the floor in the vertical plane. The angular velocity of the rod when its end B strikes the floor is

What is the equivalent capacitance between A and D in the figure given below?