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Peshawar University Sample Paper for MS/ M.Phil. and Ph.D. screening Test

Peshawar University Sample Paper for MS/ M.Phil. and Ph.D. screening Test

Sample Screening Test
The test consists of 20 problems to be attempted in 100 minutes.
1. Classical Mechanics (4 problems)
i. A massless spring with force constant k launches a ball of mass m. In order for the ball to reach a speed v, by what displacement s should the spring be compressed?
{Problem is to be solved in the provided space}
2. Electrodynamics (4 problems)
ii. Consider two very long, straight, insulated wires oriented at right angles. The wires carry currents of equal magnitude I in the directions shown in the figure. What is the net magnetic field at point P?
{Problem is to be solved in the provided space}
3. Quantum Mechanics (3 problems)
iii. The normalized ground state wave function of hydrogen is
0 is the Bohr radius. What is the most likely distance that the electron is from the nucleus?
{Problem is to be solved in the provided space}
4. Solid-State Physics (3 problems)
iv. X-rays of wavelength =0.250 nm are incident on the face of a crystal at angle , measured from the crystal surface. The smallest angle that yields an intense reflected beam is =14.5°. The value of the interplanar spacing d comes out to be?
{Problem is to be solved in the provided space}
5. Mathematical Methods of Physics (3 problems)
v. A spin 12 particle is in the state described by the spinor χ=A(1+i2)
where A is a normalization constant. The probability of finding the particle with spin projection =−ℏ/2 is.
{Problem is to be solved in the provided space}
6. Thermal and Statistical Mechanics (3 problems)
vi. A thermodynamic system, initially at absolute temperature T1, contains a mass m of water with specific heat capacity c. Heat is added until the temperature rises to T2. The change in entropy of the water is.
{Problem is to be solved in the provided space}

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