The diagram below illustrates a wave setup between two fixed ends 4.0m apart. If the speed of the wave is 1.0\(ms^{-1}\), its wavelength and frequency respectively are

• A. 1m; 0.25Hz
• B. 2m; 0.25Hz
• C. 2m; 0.50Hz
• D. 4m; 0.50Hz

A thermometer records 680 mmHg at steam point and 440 mmHg at ice point. The temperature it records at 380 mmHg is

• A. -25^oC
• B. -20^oC
• C. 20^oC
• D. 25^oC

A capacitor 8\(\mu\)F is charged to a potential difference of 100V. The energy stored by the capacitor is

• A. 1.0 x 10⁴J
• B. 8.0 x 10J
• C. 1.25 x 10J
• D. 4.0 x 10^-2J

A body of mass 0.6kg is thrown vertically upward from the ground with a speed of 20ms\(^{-2}\). Calculate its;

(i) potential energy at the maximum height reached.

(ii) kinetic energy just before it hits the ground.

The energy stored in an inductor of inductance 5mH when a current of 6A flows through it is

• A. 9.0 x 10-3J
• B. 9.0 x 10-2J
• C. 1.4 x 10-2J
• D. 1.8 x 10-3J

he lowest note emitted by a stretched string has a frequency of 40Hz. How many overtones are there between 40hz and 180Hz?

• A. 4
• B. 3
• C. 2
• D. 1

(a) (i) State Newton’s Law of Universal Gravitation.

(ii) Define gravitational field.

(b) (i) Derive the equation relating the universal gravitational constant, G, and the acceleration of free fall, g, at the surface of the earth from Newton’s law of universal gravitation.

(ii) State two assumptions for which the relationship in 8(b)(i) holds.

(c) Calculate the force of attraction between a star of mass 2.00 x 1030 kg and the earth assuming the star is located 1.50 x 108 km from the earth. [Mass of the earth = 5.98 x 1024kg; G = 6.67 x 10-11N m\(^{2}\) kg-2; g = 10 m s\(^{-2}\)

(d) (i) Define escape velocity.

(ii) State two differences between the acceleration of free fall (g) and the universal gravitational constant (G).

Three similar cells each of e.m.f 2 v and internal resistance 2Ω are connected in parallel, the total e.m.f and total internal resistance are respectively

• A) 6 v, 6.0Ω
• B) 2 v, 0.7Ω
• C) 2 v, 6.0Ω
• D) 6 v, 0.7Ω

If a solid X floats in liquids P of relative density 2.0 and in liquid Q of relative density 1.5, it can be inferred that the

• A. weight of P displaced is greater than that of Q
• B. weight of P displaced is less than that of Q
• C. volume of P displaced is greater than that of Q
• D. volume of P displaced is less than that of Q

The quantity of electric charge stored in a capacitor is measured in

• A. farad
• B. ampere
• C. coulomb
• D. volt