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Swali 1 Ripoti
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Suppose three identical steel balls Q, R, and S, are placed on an undulating ground as illustrated in the diagram above. Which of the balls is/are in neutral equilibrium?
Swali 3 Ripoti
friction, force that resists the sliding or rolling of one solid object over another.
Examples of friction in our daily life
Swali 4 Ripoti
The efficiency of a wheel and axle is 100% and the ratio of their radii is 5:1. calculate the effort required to lift a load of mass 20kg using this machine, [g = \(10\ \text{m s}^{-2}\)]
Swali 5 Ripoti
A small object of mass 50 g is released from a point A. Determine the velocity of the object when it reaches a point B, a vertical distance of 30m below A. [g = \(10\ \mathrm{ms}^{-2}\)]
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Swali 8 Ripoti
A galvanometer with a full-scale deflection of 20 mA is Converted to read 8 K by connecting a \(395\,\Omega\) resistor in series with it. Determine the internal resistance of the galvanometer
r = resistance of the galvanometer
l = current through galvanometer = 20mA or 0.02A
V1 = p.d across the galvanometer = I X r = 0.02 X r
: V1 = 0.02r
V2 = p.d across the multiplier = 8 - 0.02r
R = resistance of the multiplier = 395Ω
where R = VI
--> 395 = 8−0.02r0.02
CROSS MULTIPLY
8−0.02r = 395 * 0.02
8−0.02r = 7.9
--> 0.02r = 8 - 7.9
∴ r = 0.10.02
= 5Ω
Swali 9 Ripoti
Maelezo ya Majibu
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Swali 12 Ripoti
The linear expansivity, \( \alpha \), and cubic expansivity, \( \gamma \), of a material are related by the equation?
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Swali 18 Ripoti
Arrange the following radiations in order of increasing ionization of air.
I. Alpha
Il. Gamma
IIl. Beta
Swali 19 Ripoti
Which of the illustrated graphs above represents a body moving with uniform retardation?
Swali 20 Ripoti
The engine of a car provides a forward force of \(1240\ \mathrm{N}\) and the total resistive force on the car is \(800\mathrm{N}\). If the mass of the car is \(1220\ \mathrm{kg}\), determine the distance the car has to travel from the rest before acquiring a speed of \(4\ \mathrm{m\ s^{-1}}\).
Acceleration[a] = [forward−resistive]forcemass
a = 1240−8001220 → 440−8001220
a = 0.36m/s2 , v = 4m/s, s = ?
Second equation of motion:
s is distance
u is initial velocity
v is final velocity
a is acceleration
v2 = u2 + 2as
42 = 02 + 2 * 0.36 * s
16 = 0.72s
22.2m = s
Swali 21 Ripoti
Swali 22 Ripoti
The distance between the fixed points of a mercury-in-glass thermometer is 30 cm. Determine the temperature when the mercury level is 10.5 cm above the lower fixed point
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Swali 24 Ripoti
Since the current flowing through a parallel resonance circuit is the product of voltage divided by impedance, at resonance the impedance, Z is at its maximum value.
(Z=R )
Swali 25 Ripoti
Swali 26 Ripoti
The greatest force is experienced when the conductor is at right angle to the field.
I.e at perpendicular or Ø = 90°
Swali 27 Ripoti
The diameter of a brass ring at 30 °C is 50.0 cm. To what temperature must this ring be heated to increase its diameter to 50.29 cm? [ linear expansivity of brass = \(1.9 \times 10^{-5}\ \mathrm{K}^{-1}\)]
Swali 28 Ripoti
Swali 29 Ripoti
Vernier calipers commonly used in industry provide a precision to 0.01 mm (10 micrometres), or 0.01cm or one thousandth of an inch.
Usually, it is the total length of the main scale. Vernier calipers, generally, have a range of 300 mm
300 millimeters equal 30.0 centimeters (300mm = 30.0cm).
Swali 30 Ripoti
P = 60w, V = 240v, R = ?
P = V2R
: 60 = 2402R
→ R * 60 = 57,600
R = 5
R = 960Ω
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Swali 32 Ripoti
Joule as the unit of work done or energy used.
Force = mass × acceleration
Work = Force × Distance
Work = mass x acceleration x distance
Joule = kg × ms2 × m
→ kg m2 s−2
Swali 33 Ripoti
Three cells each of emf, 1.0 V, and internal resistance, \(2\,\Omega\), are connected in parallel across a \(3\,\Omega\) resistor. Determine the current in the resistor.
Given Data: Emf = 1v, r = 2 ohms, R = 3 ohms, I = ?
3 resistance in parallel = 1r1 + 1r2 + 1r3
1rT= 12 + 12 + 12
1rT = 1+1+12
1rT = 32
cross multiply
rT = 23 or 0.67
E = I(R+r)
1 = I(3+0.67)
1 = I(3.67)
1 ÷ 3.67 = I
0.27 = I
: I ≈ 0.30A
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Swali 36 Ripoti
If the kinetic energy of an electron is 100 eV, what is the wavelength of the de-Broglie wave associated with it? [h = 6.6 x \(10^{-34}\) J s, e = 1.6 x \(10^{19}\) C, \(m_e\), = 9.1 x \(10^{-31}\) kg]
de broglie wavelength formula in terms of kinetic energy:
λ = h2mE√
λ = 6.6∗10−342∗9.1∗10−31∗100√
λ = 5.50 x 10−14 m
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Swali 38 Ripoti
Objects at a distance greater than two times of the focal length produces a real image, inverted and diminished in size.
→ 2 * 15 = 30cm
: At >30cm this is applicable
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Swali 41 Ripoti
The half-life of a radioactive substance is 15 hours. If at some instance, the sample has a mass of 512 g, calculate the time it will take \( \frac{7}{8} \) of the sample to decay
Maelezo ya Majibu
Swali 42 Ripoti
An inductor of inductance 10 H is connected across an a.c circuit source of 50 V, 100 Hz. What is the current in the circuit? [\( \pi = 3.14 \)]
Given Data: L = 10, V = 50, F = 100, I = ?
Inductive Reactance [XL ] = 2π FL → 2 * 3.14 * 100 * 10
XL
= 6,280
Current[I] = VXL → 506280
I = 0.0079
≈ 0.008A
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The period of a 10 kHz radio wave traveling at \(10^8\) ms\(^{-1}\) is--
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Swali 46 Ripoti
The area under a force-time graph represents--------
It is a graph that represents the force that acts on a body in a certain amount of time.
Force on the object is represented by the y-axis and time taken by the object is represented by the y axis.
The area under the curve indicates the impulse, the change in momentum that the object undergoes.
Swali 47 Ripoti
Which of the following statement(s) is/are correct about a fixed mass of gas compressed in an inexpansible container;
I. The average speed of the molecules increases
II. The temperature of the gas increases
III. The molecules hit the walls of the container more often than before the compression
The kinetic-molecular theory of gases assumes that ideal gas molecules:
(1) are constantly moving;
(2) have negligible volume;
(3) have negligible intermolecular forces;
(4) undergo perfectly elastic collisions; and
(5) have an average kinetic energy proportional to the ideal gas's absolute temperature.
Swali 48 Ripoti
Refraction occurs when light travels from one medium to another which changes the speed at which the light travels.
This causes light to bend upon incidence with the interface of a new material.
Angle of refraction is smaller than angle of incidence when light ray travels from rarer medium to denser medium.
I.e light can either refract towards the normal(when slowing down while crossing the boundary) or away from the normal (when speeding up while crossing the boundary).
When light undergoes refraction, its frequency remains the same.
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