Physics

Two separate wires A and B are stretched by 2 mm and 4 mm respectively, when they are subjected to a force of 2 N. Assume that both the wires are made up of same material and the radius of wire B is 4 times that of the radius of wire A. The length of the wires A and B are in the ratio of a : b. Then a/b can be expressed as 1/x where x is---------.

A person is swimming with a speed of 10m/s at an angle of 120° with the flow and reaches to a point directly opposite on the other side of the river. The speed of the flow is 'x' m/s. The value of 'x' to the nearest integer is-----------.

A ball of mass 10kg, moving with a velocity 10√3 m/s along, the x-axis, hits another ball of mass 20kg which is at rest. After the collision, first ball comes to rest while second ball disintegrates into two equal pieces. One piece starts moving along y-axis with a speed of 10 m/s. The second piece starts moving at an angle of 30° with respect to the x-axis. The velocity of the ball moving at 30° with x-axis is x m/s. The configuration of pieces after collision is shown in the figure below. The value of x to the nearest integer is---------

A bullet of mass 0.1 kg is fired on a wooden block to pierce through it, but it stops after moving a distance of 50 cm into it. If the velocity of bullet before hitting the wood is 10m/s and slows down with uniform deceleration, then magnitude effective retarding force on the bullet is 'x' N. The value of 'x' to the nearest integer is----------.

The voltage across the 10Ω resistor in the given circuit is x volt. The value of 'x' to the nearest integer is ----------.

The electric field in a region is given by E⃗ = (2/5)E₀ î + (3/5)E₀ ĵ with E₀ = 4.0 * 10³ N/C. The flux of this field through a rectangular surface area 0.4m² parallel to the Y-Z plane is _____ Nm²C⁻¹.

A particle of mass m moves in a circular orbit in a central potential field U(r) = U₀r⁴. If Bohr's quantization conditions are applied, radii of possible orbitals rₙ vary with nᵃ, where α is---------.

Suppose you have taken a dilute solution of oleic acid in such a way that its concentration becomes 0.01cm³ of oleic acid per cm³ of the solution. Then you make a thin film of this solution (monomolecular thickness) of area 4cm² by considering 100 spherical drops of radius ³√(3/(40π)) * 10⁻³ cm. Then the thickness of oleic acid will be x * 10⁻¹⁴ m. Where x is ______.

A parallel plate capacitor has plate area 100m² and plate separation of 10m. The space between the plates is filled up to a thickness 5m with material of dielectric constant of 10. The resultant capacitance of the system is 'x' pF.
The value of ε? = 8.85 * 10?¹² F.m?¹
The value of 'x' to the nearest integer is ----------.

Sea-water at a frequency f = 9 * 10² Hz, has permittivity ε = 80ε₀ and resistivity ρ = 0.25Ωm. Imagine a parallel plate capacitor is immersed in seawater and is driven by an alternating voltage source V(t) = V₀sin(2πft). Then the conduction current density become 10ˣ times the displacement current density after time t = 1/800 s. The value of x is ______. [Given: 1/(4πε₀) = 9 * 10⁹ Nm²C⁻²]