IF THE LINEAR MAGNIFICATION OF THE OBJECTIVE AND EYEPIECE CONVEX LENSES OF A COMPOUND MICROSCOPE ARE 4 AND 7 RESPECTIVELY. CALCULATE THE ANGULAR MAGNIFICATION OF THE MICROSCOPE
A. 2 B. 3 C. 11 D. 28 ✓ The answer to the question is: D. 28 The angular magnification of a compound microscope can be calculated using the formula: Angular Magnification = Magnification of Objective × Magnification of Eyepiece Given that…
A BODY WHICH WEIGHS 50N IN AIR DISPLACES 3.7KG OF WATER WHEN PARTIALLY IMMERSED IN WATER. CALCULATE THE UPTHRUST ON THE BODY
A. 8.7N B. 37.0N ✓ C. 87.0N D. 13.0N The answer to the question is: B. 37.0N To calculate the upthrust on the body, we can use Archimedes’ principle, which states that the buoyant force acting on a body partially or fully…
A TRANSPARENT RECTANGULAR BLOCK 5.0CM THICK IS PLACED ON A BLACK DOT. THE DOT WHEN VIEWED FROM ABOVE IS SEEM 3.0CM FROM THE TOP OF THE BLOCK, CALCULATE THE REFRACTIVE INDEX OF THE MATERIAL OF THE BLOCK
A. 2/5 B. 3/5 C. 3/2 D. 5/3 ✓ E. 5/2 The answer to the question is: D. 5/3 To calculate the refractive index of the material of the block, we can use the concept of apparent depth. When a transparent block is…
THE HALF LIFE OF A RADIOACTIVE MATERIAL IS 12 DAYS, CALCULATE THE DECAY CONSTANT
The decay constant, denoted by λ (lambda), is a measure of the rate at which a radioactive substance decays. It is related to the half-life (T1/2) of the substance through the equation: λ = ln(2) / T1/2 Where ln(2) is…
A MAN WEIGHING 200 N RUNS UP A STAIRCASE IN 5 s. IF THE HEIGHT OF THE STAIRCASE IS 9 m, CALCULATE THE POWER OF THE MAN
To calculate the power of a man running up a staircase, we can use the formula: Power = Work done / Time First, let’s calculate the work done by the man. The work done is equal to the force applied…
A PHOTON HAS A FREQUENCY OF 5.02 X 10^14 HZ, CALCULATE THE ENERGY OF THE PHOTON IN JOULES AND ELECTRON VOLTS
(i) To calculate the energy of a photon in joules, we can use the formula: E = hf Where E is the energy of the photon, h is Planck’s constant, and f is the frequency of the photon. Given: Frequency…
CALCULATE THE NUMBER OF MOLECULES IN 2.8g OF NITROGEN GAS
To calculate the number of molecules in 2.8g of nitrogen gas, we must first understand the relationship between mass and the number of particles (atoms or molecules) in a substance. The concept of this relationship is known as the molar…
A STRETCHED WIRE UNDER TENSION T PRODUCES A NOTE OF FREQUENCY 60 HZ WHEN PLUCKED, CALCULATE THE FREQUENCY IF THE TENSION IN THE WIRE IS INCREASED BY 125%
When a wire under tension is plucked, it vibrates and produces sound waves. The frequency of the sound wave is determined by various factors, including the tension in the wire. If the tension in the wire is increased, the frequency…
A HEATING COIL IS RATED AT 70 W, CALCULATE THE TIME IT WILL TAKE THIS COIL TO HEAT 1.4 KG OF WATER AT 30°C TO 100°C
To calculate the time it will take for a heating coil to heat a given amount of water, we can use the formula: Q = mcΔT where Q is the heat energy transferred, m is the mass of the water,…
IF 1.5 MOLES OF OXYGEN REACTS WITH SULPHUR (IV) OXIDE, CALCULATE THE MASS OF TETRAOXOSULPHATE(VI) ACID PRODUCED
To calculate the mass of tetraoxosulfate (VI) acid produced when 1.5 moles of oxygen reacts with sulfur (IV) oxide, we need to determine the balanced chemical equation for the reaction first. The balanced equation is as follows: 2SO2 + O2…
A RADIOACTIVE SUBSTANCE HAS A HALF-LIFE OF 3.8 DAYS, CALCULATE ITS DECAY CONSTANT.
To calculate the decay constant of a radioactive substance, we can use the equation: λ = ln(2) / t½ Where: λ is the decay constant, ln is the natural logarithm function, 2 is the constant representing the ratio of the…