354592
A wave is travelling along a string. At an instant, shape of the string is as shown in figure. At this instant, point A is moving upwards. Which of the following statement is correct :
1 The wave is travelling to the right.
2 The wave is travelling towards left
3 Velocity of \(C\) is also directed upwards.
4 Phase difference between \(A\) and \(C\) may be equal to \(2 \pi\)
Explanation:
dotted line is next position of wave is small interveal of time \(\therefore\) option (2) only correct
PHXI15:WAVES
354593
Statement A : Speed of mechanical wave in the medium depends on the velocity of source, relative to an observer at rest. Statement B : Speed of mechanical wave depends on elastic and other properties such as mass density of the medium.
1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
Explanation:
The speed of a mechanical wave in that medium depends only on elastic and other properties of the medium. It does not depend on the velocity of the source.
PHXI15:WAVES
354594
Assertion : Particle velocity depends on time. Reason : For the propagation of wave motion, the medium must have the properties of elasticity and inertia.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
\(y=A \sin (\omega t-k x)\) \(v_{\text {particle }}=\dfrac{d y}{d t}\) and \(v=n \lambda=\dfrac{\omega}{k}\) The velocity of individual oscillating particles within the medium varies at different positions during one oscillation cycle. However, the velocity of the wave motion remains constant and is not dependent on time. So correct option is (2).
PHXI15:WAVES
354595
A boat at anchor is rocked by waves whose crests are \(100\;m\) apart and velocity is \(25\;m/\sec \). The boat bounces up once in every
1 \(75\;s\)
2 \(2500\;s\)
3 \(0.25\;s\)
4 \(4\;s\)
Explanation:
\(\lambda=100 m \Rightarrow t=\dfrac{\lambda}{v}=4 \mathrm{sec}\).
354592
A wave is travelling along a string. At an instant, shape of the string is as shown in figure. At this instant, point A is moving upwards. Which of the following statement is correct :
1 The wave is travelling to the right.
2 The wave is travelling towards left
3 Velocity of \(C\) is also directed upwards.
4 Phase difference between \(A\) and \(C\) may be equal to \(2 \pi\)
Explanation:
dotted line is next position of wave is small interveal of time \(\therefore\) option (2) only correct
PHXI15:WAVES
354593
Statement A : Speed of mechanical wave in the medium depends on the velocity of source, relative to an observer at rest. Statement B : Speed of mechanical wave depends on elastic and other properties such as mass density of the medium.
1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
Explanation:
The speed of a mechanical wave in that medium depends only on elastic and other properties of the medium. It does not depend on the velocity of the source.
PHXI15:WAVES
354594
Assertion : Particle velocity depends on time. Reason : For the propagation of wave motion, the medium must have the properties of elasticity and inertia.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
\(y=A \sin (\omega t-k x)\) \(v_{\text {particle }}=\dfrac{d y}{d t}\) and \(v=n \lambda=\dfrac{\omega}{k}\) The velocity of individual oscillating particles within the medium varies at different positions during one oscillation cycle. However, the velocity of the wave motion remains constant and is not dependent on time. So correct option is (2).
PHXI15:WAVES
354595
A boat at anchor is rocked by waves whose crests are \(100\;m\) apart and velocity is \(25\;m/\sec \). The boat bounces up once in every
1 \(75\;s\)
2 \(2500\;s\)
3 \(0.25\;s\)
4 \(4\;s\)
Explanation:
\(\lambda=100 m \Rightarrow t=\dfrac{\lambda}{v}=4 \mathrm{sec}\).
354592
A wave is travelling along a string. At an instant, shape of the string is as shown in figure. At this instant, point A is moving upwards. Which of the following statement is correct :
1 The wave is travelling to the right.
2 The wave is travelling towards left
3 Velocity of \(C\) is also directed upwards.
4 Phase difference between \(A\) and \(C\) may be equal to \(2 \pi\)
Explanation:
dotted line is next position of wave is small interveal of time \(\therefore\) option (2) only correct
PHXI15:WAVES
354593
Statement A : Speed of mechanical wave in the medium depends on the velocity of source, relative to an observer at rest. Statement B : Speed of mechanical wave depends on elastic and other properties such as mass density of the medium.
1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
Explanation:
The speed of a mechanical wave in that medium depends only on elastic and other properties of the medium. It does not depend on the velocity of the source.
PHXI15:WAVES
354594
Assertion : Particle velocity depends on time. Reason : For the propagation of wave motion, the medium must have the properties of elasticity and inertia.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
\(y=A \sin (\omega t-k x)\) \(v_{\text {particle }}=\dfrac{d y}{d t}\) and \(v=n \lambda=\dfrac{\omega}{k}\) The velocity of individual oscillating particles within the medium varies at different positions during one oscillation cycle. However, the velocity of the wave motion remains constant and is not dependent on time. So correct option is (2).
PHXI15:WAVES
354595
A boat at anchor is rocked by waves whose crests are \(100\;m\) apart and velocity is \(25\;m/\sec \). The boat bounces up once in every
1 \(75\;s\)
2 \(2500\;s\)
3 \(0.25\;s\)
4 \(4\;s\)
Explanation:
\(\lambda=100 m \Rightarrow t=\dfrac{\lambda}{v}=4 \mathrm{sec}\).
354592
A wave is travelling along a string. At an instant, shape of the string is as shown in figure. At this instant, point A is moving upwards. Which of the following statement is correct :
1 The wave is travelling to the right.
2 The wave is travelling towards left
3 Velocity of \(C\) is also directed upwards.
4 Phase difference between \(A\) and \(C\) may be equal to \(2 \pi\)
Explanation:
dotted line is next position of wave is small interveal of time \(\therefore\) option (2) only correct
PHXI15:WAVES
354593
Statement A : Speed of mechanical wave in the medium depends on the velocity of source, relative to an observer at rest. Statement B : Speed of mechanical wave depends on elastic and other properties such as mass density of the medium.
1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
Explanation:
The speed of a mechanical wave in that medium depends only on elastic and other properties of the medium. It does not depend on the velocity of the source.
PHXI15:WAVES
354594
Assertion : Particle velocity depends on time. Reason : For the propagation of wave motion, the medium must have the properties of elasticity and inertia.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
\(y=A \sin (\omega t-k x)\) \(v_{\text {particle }}=\dfrac{d y}{d t}\) and \(v=n \lambda=\dfrac{\omega}{k}\) The velocity of individual oscillating particles within the medium varies at different positions during one oscillation cycle. However, the velocity of the wave motion remains constant and is not dependent on time. So correct option is (2).
PHXI15:WAVES
354595
A boat at anchor is rocked by waves whose crests are \(100\;m\) apart and velocity is \(25\;m/\sec \). The boat bounces up once in every
1 \(75\;s\)
2 \(2500\;s\)
3 \(0.25\;s\)
4 \(4\;s\)
Explanation:
\(\lambda=100 m \Rightarrow t=\dfrac{\lambda}{v}=4 \mathrm{sec}\).
