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Test: Waves-Speed of a Traveling Wave (16 Oct) - JEE MCQ


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Test: Waves-Speed of a Traveling Wave (16 Oct) - Question 1

What does 'n21' represent in the context of Snell's law of refraction?

Detailed Solution for Test: Waves-Speed of a Traveling Wave (16 Oct) - Question 1
In Snell's law of refraction, 'n21' represents the refractive index of medium 1 with respect to medium 2.
Test: Waves-Speed of a Traveling Wave (16 Oct) - Question 2

What is the condition for the reflected wavefront in reflection to be built up from secondary wavelets?

Detailed Solution for Test: Waves-Speed of a Traveling Wave (16 Oct) - Question 2
In reflection, secondary wavelets start at different times, leading to the formation of the reflected wavefront.
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Test: Waves-Speed of a Traveling Wave (16 Oct) - Question 3

In Malus Law, what does 'I' represent?

Detailed Solution for Test: Waves-Speed of a Traveling Wave (16 Oct) - Question 3
In Malus Law, 'I' represents the final intensity of light transmitted through an analyzer.
Test: Waves-Speed of a Traveling Wave (16 Oct) - Question 4
What is the name given to the angle at which light is polarized when it reflects from a transparent surface?
Detailed Solution for Test: Waves-Speed of a Traveling Wave (16 Oct) - Question 4
The angle at which light is polarized when it reflects from a transparent surface is called the polarizing angle.
Test: Waves-Speed of a Traveling Wave (16 Oct) - Question 5
What is the name given to light that has vibrations of the electric field vector in only one direction perpendicular to the direction of propagation?
Detailed Solution for Test: Waves-Speed of a Traveling Wave (16 Oct) - Question 5
Light that has vibrations of the electric field vector in only one direction perpendicular to the direction of propagation is called polarized light.
Test: Waves-Speed of a Traveling Wave (16 Oct) - Question 6
What happens to the width of the central maximum in a diffraction pattern when the width of the single slit is decreased?
Detailed Solution for Test: Waves-Speed of a Traveling Wave (16 Oct) - Question 6
When the width of the single slit in a diffraction pattern is decreased, the width of the central maximum also decreases, leading to a narrower central maximum.
Test: Waves-Speed of a Traveling Wave (16 Oct) - Question 7
What does the refractive index 'n2' represent in the context of absolute refractive index?
Detailed Solution for Test: Waves-Speed of a Traveling Wave (16 Oct) - Question 7
In the context of absolute refractive index, 'n2' represents the absolute refractive index of the second medium with respect to vacuum.
Test: Waves-Speed of a Traveling Wave (16 Oct) - Question 8

An iron load of is suspended in air from the free end of a sonometer wire of length . A tuning fork of frequency , is in resonance with times the length of the sonometer wire. If the load is immensed in water, the length of the wire in metre that will be in resonance with the same tuning fork is (Specific gravity of iron = 8)

Detailed Solution for Test: Waves-Speed of a Traveling Wave (16 Oct) - Question 8

To solve the problem, we will analyze the relationship between the frequency of the tuning fork, the tension in the wire, and the length of the sonometer wire

1. Understand the relationship between frequency (f), length (l), tension (T), and linear mass density (\muμ) of the wire. The frequency is inversely proportional to the length and directly proportional to the square root of the tension divided by the linear mass density:

2. When the iron load is suspended in air, the tension in the wire is equal to the weight of the load. The weight (W) can be calculated using the formula:

W =mg

3. When the load is immersed in water, the effective weight of the load changes due to the buoyant force. The buoyant force (Fb​) can be calculated using Archimedes' principle:

4. The effective tension in the wire when the load is immersed in water (T2​) is:

Now we can find the new length l2​ that will be in resonance with the same tuning fork frequency. From the relationship established earlier, we have:

Test: Waves-Speed of a Traveling Wave (16 Oct) - Question 9

The frequency of a tuning fork is and velocity of sound in air is . Find how far the sound has traversed while fork completes 36 vibrations?

Detailed Solution for Test: Waves-Speed of a Traveling Wave (16 Oct) - Question 9

v.t

Test: Waves-Speed of a Traveling Wave (16 Oct) - Question 10
A source of the sound of frequency is placed inside water. The speed of sound in water is and in the air, it is The frequency of sound recorded by an observer who is standing in the air is
Detailed Solution for Test: Waves-Speed of a Traveling Wave (16 Oct) - Question 10
The frequency is a characteristic of source. It is independent of the medium. Hence, the correct option is
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