ICSE physics

Question
ICSEENIPH10006036

Draw a ray diagram to show the refraction of a monochromatic ray through a prism when it suffers minimum deviation.

Solution

Refraction of a monochromatic ray through a prism when it goes through minimum deviation:
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Question
ICSEENIPH10006037

The human ear can detect continuous sounds in the frequency range from 20 Hz to 20,000 Hz. Assuming that the speed of sound in air is 330 ms-1 for all frequencies; calculate the wavelengths corresponding to the given extreme frequencies of the audible range.

Solution

Applying the formula, v = λ x ν
where, v = velocity of sound =330 ms-1
ν = frequency
λ = wavelength of sound
We have a range of frequencies from 20 Hz−20,000 Hz.
Hence, for frequency ν = 20 Hz, we have
330 = 20 ×λ
⇒λ = 330/20 = 16.5 m

For frequency ν = 20,000 , Hz, we have
330= 20000 ×λ
⇒ λ = 330/20000 = × 16.5 x10-3 m

Question
ICSEENIPH10006038

An enemy plane is at a distance of 300 km from a radar. In how much time the radar will be able to detect the plane? Take velocity of radio waves as x 108 ms-1.

Solution

Distance between the plane and the radar, d = 300 km = 300,000 m
Velocity of radio waves, c = 3 x 108 ms-1
Waves from the radar will travel to the plane and then reflect and travel back
to the receiver of the radar. Hence, the total distance travelled by the waves
is 2d.
∴ 2d = c xt
∴ t = 2d/c
∴ 2 x300000 /3 x108
∴ t = 2 x 10-3 s = 2ms

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Question
ICSEENIPH10006039

How is the frequency of a stretched string related to:
(i) it’s length
(ii) it’s tension?

Solution

(i) The frequency of stretched string related with its length as:
straight v space proportional to space 1 over length

(ii) The frequency of stretched string is related to tension in the string as:
    v ∝ tension

This means frequency is inversely proportional to the length of the string and
directly proportional to its tension.

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Question
ICSEENIPH10006040

Define specific resistance and state its SI unit.

Solution

Specific resistance or resistivity (ρ), of a conductor, is defined as the resistance of a conductor of unit length and unit area of cross-section.
From the factors affecting the resistance of a conductor, the resistance is given by,
straight R space equals space straight rho l over straight A
Its SI unit is ohm-m
Specific resistance or resistivity is the characteristic property of the material of the conductor and depends only on the nature of the material and temperature.