The pressure of one mole of an ideal gas of volume 10^-2m³ at a temperature of 27°c is [molar gas constant = 8.3 J mol^-1k^-1]

• A) 2.49 x 10⁴ Nm^-2
• B) 2.24 x 10⁴ Nm^-2
• C) 2.49 x 10⁵ Nm^-1
• D) 2.24 x 10⁵ Nm^-1

A balloon whose volume is 300m³ is filled with hydrogen. If the density of air is 1.3 kgm^-3, find the upthrust on the balloon. [g = 10ms^-2]

• A. 3000N
• B. 3800N
• C. 3900N
• D. 4200N

A parallel beam of unpolarised light is incident on a plane glass surface at an angle of 58\(^{o}\) to the normal. If the reflected beam is completely polarised, calculate the refractive index of the glass.

The distance between two points in phase on a progressive wave is 5cm. If the sped of the wave is 0.2ms^-1, calculate its period

• A. 4.00s
• B. 2.50s
• C. 0.25s
• D. 0.04s

A particle of mass M which is at rest splits up into two. If the mass and velocity of one of the particles are m and v respectively, calculate the velocity of the second particle

• A. \(\frac{mv}{M}\)
• B. \(\frac{Mv}{M - m}\)
• C. \(\frac{mv}{M + m}\)
• D. \(\frac{mv}{M - m}\)

(a) State two;

(i) properties of x-rays

(ii) reasons to show that x-rays are waves

(iii) uses of x-rays other than those in medicine;

(iv) hazards of x-rays.

(b) The potential difference between the cathode and target of an x-ray tube is 5.00 x 10\(^4\)V and the current in the tube is 2.00 x 10\(^{-2}\)A. Given that only one percent of the total energy supplied is emitted as x-radiation, determine the ospheric pressure.

(i) maximum frequency of the emitted radiation

(ii) rate at which heat is removed from the target in order to keep it at steady temperature. [Planck's constant, h = 6.63 x 10\(^{-34}\) Js, electronic charge e = 1.60 x 10\(^{-19}\) C]

Electrical resistance is a property of an electrical energy to be converted into

• A. mechanical energy
• B. heat energy
• C. magnetic energy
• D. chemical energy

Rainbow formation is a natural phenomenon illustrating that white light

• A. splits into three components after rainfall
• B. is dispersed by glass prisms
• C. splits into its constituent colours before rainfall
• D. is dispersed into its constituent colours after rainfall

A cell of e.m.f. 1.5 V and internal resistance of 2.59 is connected in series with an ammeter of resistance 0.59 and a resistor of resistance 7.09. Calculate the current in the circuit.

• A. 0.15 A
• B. 0.20 A
• C. 0.60A
• D. 3.00A

The property of the eye known as its power of accommodation is controlled by the

• A. pupil
• B. virteous humour
• C. iris
• D. ciliary muscles