Q. No.A tuning fork has a frequency of \(200\) Hz. If the velocity of sound in air is \(330\) m/s, then how far the sound has traversed while the tuning fork completes \(20\) vibrations?
| 1. | \(11~\text{m}\) | 2. | \(22~\text{m}\) |
| 3. | \(33~\text{m}\) | 4. | \(44~\text{m}\) |
A hospital uses an ultrasonic scanner to locate tumors in a tissue. What is the wavelength of sound in the tissue in which the speed of sound is \(1.7~\text{km/s}\)? The operating frequency of the scanner is \(4.2~\text{MHz}\).
| 1. | \(3.0 \times10^{-4}~\text{m}\) | 2. | \(4.0 \times10^{-4}~\text{m}\) |
| 3. | \(3.5 \times10^{-4}~\text{m}\) | 4. | \(2.0 \times10^{-4}~\text{m}\) |
\(y(x,t)=0.06\sin\Big(\dfrac{2\pi}{3}x\Big)\cos(120\pi t)\)
where \(x\) and \(y\) are in metre and \(t\) in second. The length of the string is \(1.5\) m and its mass is \(3\times10^{-2}\) kg. The tension in the string is:
1. \(540\) N
2. \(648\) N
3. \(200\) N
4. \(425\) N
Both the strings, shown in the figure, are made of the same material and have the same cross-section. The pulleys are light. The wave speed of a transverse wave in the string \(AB\) is \(v_1\) and in \(CD\) it is \(v_2\). Then \(\dfrac{v_1}{v_2}\) is:
| 1. | \(1\) | 2. | \(2\) |
| 3. | \(\sqrt2\) | 4. | \({1}/{\sqrt{2}}\) |
| (a) | directly on density of the medium. |
| (b) | square of Bulk modulus of the medium. |
| (c) | inversly on the square root of density. |
| (d) | directly on the square root of bulk modulus of the medium. |
Choose the correct option:
| 1. | (a), (c) | 2. | (a), (b), (c) |
| 3. | (b), (d) | 4. | (c), (d) |
| Assertion (A): | Sound would travel faster on a hot summer day than on a cold winter day. |
| Reason (R): | Velocity of sound is directly proportional to the square root of its absolute temperature. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | (A) is False but (R) is True. |
| 1. | \(\sqrt{3}\left(\dfrac{v_s}{v_r}\right )\) | 2. | \(\dfrac{1}{\sqrt3}\Big(\dfrac{v_s}{v_r}\Big)\) |
| 3. | \(3\Big(\dfrac{v_s}{v_r}\Big)^{2}\) | 4. | \(\dfrac13\Big(\dfrac{v_s}{v_r}\Big)^2\) |
1. \(1\)
2. \(2\)
3. \(3\)
4. \(4\)
(Gas constant \(R=8.3\) J/mol-K, molecular mass of methane \(=16\) g)
1. \(311\) m/s
2. \(10\) m/s
3. \(275\) m/s
4. \(350\) m/s
How many degrees of freedom the gas molecules have if, under \(\text{STP}\), the gas density \(\rho = 1.3~\text{kg/m}^3\) and the velocity of sound propagation in it is \(330~\text{ms}^{-1}\)?
1. \(3\)
2. \(5\)
3. \(7\)
4. \(8\)
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