Physics Test 29...

Two particles A and B of the same mass have their de-Broglie wavelengths in the ratio λ_A : λ_B = K : 1.

Their potential energies are in the ratio U_A : U_B = 1 : K².

The ratio of their total energies, E_A : E_B, is:

An electron is accelerated under a potential difference of 64 V,

The de-Broglie wavelength associated with electron

A body of mass m is moved to a height equal to the radius of the earth R (above surface). The increase in its potential energy is:-

A particle of mass m is located in a one dimensional potential field where potential energy is given by : V(x) = A(1 − cos⁡ px), Where A and p are constant.

The period of small oscillations of the particle is :-

A uniform rod of mass m and length L is pivoted at its upper end and hangs vertically. A small block of mass m is placed on the horizontal floor directly below the pivot. The rod is released from rest when it makes an angle of 60^∘ with the vertical. If the coefficient of restitution for the collision between the lower end of the rod and the block is  find the impulse imparted by the pivot on the rod during the collision. Assume the rod remains vertical after collision and the block does not rebound off the floor.

Water from a hosepipe of radius 5cm strikes a wall at a speed of 5ms⁻¹ normally and stops.

The force exerted on the wall in newton is

An equilateral triangular loop with side length 1m carrying a current of 10A

μ₀ = 4π × 10⁻⁷NA⁻²

The magnitude of the magnetic field at the center of the loop

A coil of inductance 0.2H and 1.0Ω resistance is connected to a 90V source.

At what rate will the current in the coil grow at the instant the coil is connected to the source?

An emf of 15V is applied in a circuit coil containing 5H inductance and 10Ω resistance.

The ratio of currents at time t = ∞ and t = 1s is

The resonant frequency of a series AC circuit consisting of a 200 μH inductor, a 0.0005 μF capacitor and a 10Ω resistance is