Total energy in SHM is proportional to the square of the amplitude. If amplitude is doubled, energy increases by a factor of 4.

The maximum speed v_max of a simple harmonic oscillator is given by v_max = Aω, where ω is the angular frequency.

The maximum speed (v_max) of a simple harmonic oscillator is given by v_max = Aω, where ω is the angular frequency.

The maximum displacement in simple harmonic motion is equal to the amplitude, which is 5 cm.

The insect can walk on water due to surface tension, which creates a 'skin' on the surface of the water.

The insect can walk on water because of surface tension, which creates a 'skin' on the surface that can support the weight of the insect.

The insect can walk on water due to surface tension, which creates a 'skin' on the surface that can support the weight of the insect.

Surface area of a sphere = 4πr² = 4π(0.1)² = 0.1256 m², approximately 0.31 m².

Surface area of a sphere = 4πr² = 4π(5)² = 100π cm².

Adding soap to water decreases the surface tension because soap molecules disrupt the cohesive forces between water molecules.

Adding soap decreases the surface tension of water.

Magnetic flux (Φ) = B * A. Here, Φ = 0.2 T * 0.01 m² = 0.002 Wb.

Magnetic flux (Φ) = B * A = 0.4 T * 0.01 m² = 0.004 Wb.

The magnetic field inside a solenoid is given by B = μ₀nI, where n is the number of turns per unit length.

Reversing the current in a solenoid reverses the direction of the magnetic field according to the right-hand rule.

The strength of the magnetic field inside a solenoid is affected by the number of turns per unit length and the current flowing through it, as well as the length of the solenoid.

The magnetic field strength inside a solenoid is directly proportional to the current flowing through it.

The magnetic field inside a solenoid is given by B = μ₀ * (N/L) * I. Assuming N/L = 1 for simplicity, B = μ₀ * I = 4π × 10^-7 T*m/A * 5 A = 0.5 T.

Using conservation of energy, the potential energy mgh converts to kinetic energy. For a solid cone, the final speed at the bottom is v = √(2gh).

For a solid cone rolling down an incline, the potential energy at height h is converted into translational and rotational kinetic energy, leading to PE = 2KE.

The moment of inertia of a solid cone about its axis is I = (1/10)mR^2.

The solid cylinder has a smaller moment of inertia compared to the hollow cylinder, thus it will have a greater speed at the bottom.

The solid cylinder reaches the bottom first because it has a smaller moment of inertia compared to the hollow cylinder.

Using conservation of energy, potential energy at the top equals kinetic energy at the bottom. The speed v at the bottom is v = √(2gh).

At the bottom, total kinetic energy = translational + rotational. For a solid cylinder, the ratio of translational to total kinetic energy is 2:1.

For a solid cylinder, the ratio of translational kinetic energy to total kinetic energy is 2/5.

At the bottom, total mechanical energy is converted into kinetic energy, which is the sum of translational and rotational kinetic energy. For a solid cylinder, 2/3 of the energy is kinetic.

Using conservation of energy, potential energy at the top equals kinetic energy at the bottom. For a solid cylinder, v = √(3gh/2).

The solid sphere reaches the bottom first because it has a lower moment of inertia, allowing it to convert more potential energy into translational kinetic energy.

The solid sphere will hit the ground first because it has a smaller moment of inertia, allowing it to roll down faster.