Physics Test 22...

For network shown in figure, determine V₀ and I_D. (Where, I_D = Current flowing in the diodes)

Half-life of a radioactive substance A is 4 days. The probability of a nucleus that, from the given sample that it will decay in two half-lives is

A solid sphere of mass M and radius R is lying on a rough horizontal plane. A constant force F = 4Mg acts vertically at point P such that OP makes an angle of 60° with horizontal. Find the minimum value of coefficient of friction μμ so that sphere starts pure rolling.

Following figure shows the flow of liquid through a horizontal pipe. Three tubes A, B and C are connected to the pipe. The radii of the tubes A, B and C at the junction are respectively 2 cm, 1 cm and 2 cm. It can be said that the

The figure shows a metre-bridge circuit, with AB=100cm, X=12Ω and R=18Ω, and the jockey J in the position of balance. If R is now made 8Ω, through what distance will J have to be moved to obtain balance?

A heavy plank of mass 100 kg hangs on three vertical wires of equal length arranged symmetrically (see figure). All the wires have the same cross-section. The middle wire is of steel and the other two are of copper. The modulus of elasticity of steel is assumed to be double that of copper. Determine the tensions in the wires. (Use g = 9.8 m s⁻²)

An ideal monatomic gas is confined in a cylinder by a spring loaded with the massless piston of cross-section 8 × 10⁻³ m². Piston can slide on the walls of the cylinder without any friction. Initially the gas is at 300 K300 K and occupies a volume of 2.4 × 10⁻³ m³ and the spring is in its relaxed position. Now, gas is slowly heated by a small electric heater and the piston moves out slowly by 0.1 m. Calculate the final temperature of the gas and the heat supplied by the heater. The force constant of the spring is 8000 N m⁻¹ and atmospheric pressure 1 × 10⁵ N m⁻².

A particle is projected with a speed 10√2 m s⁻¹ at angle 45^o with the horizontal. The rate of change of speed with respect to time at t = 1 st = 1 s is (g = 10 m s⁻²)

A conducting circular loop is placed in a uniform magnetic field 0.04 T with its plane perpendicular to the magnetic field. The radius of the loop starts shrinking at 2 mm s⁻¹. The induced emf in the loop, when the radius is 2 cm, is

A capacitor of capacitance C is charged to a potential difference V from a cell and then disconnected from it. A charge +Q is now given to its positive plate. Now, the potential difference across the capacitor is.