Waves - Online Test

Q1. If y(x, t) = a sin (kx + ωt + φ) represents a wave function
Answer : Option B
Explaination / Solution:

On comparing above equation with y(x, t) = a sin (-kx + ωt + φ), we get Distance traveled by wave is along - x axis Hence y(x, t) = a sin (kx + ωt + φ) represents a wave function travelling in the -ve x direction

Q2. If y(x, t) = a sin (kx + ωt + φ ) represents a wave function then ‘a’ is
Answer : Option A
Explaination / Solution:

In the equation y(x, t) = a sin (kx + ωt + φ ) the term before trignometric function is called amplitude Hence a (term before trignometric function) is the amplitude.

Q3. If y(x, t) = a sin (kx + ωt + φ ) represents a wave function then ‘k’ is
Answer : Option D
Explaination / Solution:

In the equation 

y(x, t) = a sin (kx + t +  )

the term with distance travelled 'x' is called angular wave number or propagation constant

Hence k is the angular wave number.


Q4. If y(x, t) = a sin (kx + ωt + φ ) represents a wave function then ‘ω’ is
Answer : Option A
Explaination / Solution:

In the equation 

y(x, t) = a sin (kx + t +  )

the term with time 't' is called angular angular velocity or angular frequency

Hence  is the angular frequency.


Q5. If y(x, t) = a sin (kx + ωt + φ ) represents a wave function then ‘φ’ is
Answer : Option D
Explaination / Solution:

In the equation

y(x, t) = a sin (kx + t +  )

The term  represents initial phase or epoch

Hence the term  is initial phase


Q6. The speed of propagation of a sinusoidal wave is given by V=νλ where
Answer : Option D
Explaination / Solution:
No Explaination.


Q7. The speed of transverse waves on a stretched string is  where
Answer : Option B
Explaination / Solution:
No Explaination.


Q8. Speed of Sound is given by  where
Answer : Option B
Explaination / Solution:
No Explaination.


Q9. When two or more waves traverse the same medium, the displacement of any element of the medium is the algebraic sum of the displacements due to each wave. This is known as
Answer : Option C
Explaination / Solution:
No Explaination.


Q10. Two sinusoidal waves on the same string exhibit interference, adding or cancelling according to the principle of superposition. If the two are travelling in the same direction and have the same amplitude a and frequency but differ in phase by a phase constant φ, the result is a single wave with the same frequency ωω :If φ = 0 or an integral multiple of 2 π ,
Answer : Option B
Explaination / Solution:
No Explaination.