Q. No.An Atwood's machine with blocks of masses \(3\) kg and \(2\) kg is set up in a laboratory. The string is taut and the blocks start moving at \(t=0.\)
The relative acceleration of the blocks has the magnitude:
1. \(\dfrac{g}{5}\)
2. \(\dfrac{2g}{5}\)
3. \(\dfrac{3g}{5}\)
4. \(\dfrac{4g}{5}\)
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The work done by tension on the \(3\) kg block has a magnitude \(W_1\) while the work done by gravity on the same block has a magnitude \(W_2,\) since the beginning of motion.
| 1. | \(W_1=W_2\) |
| 2. | \(W_1>W_2\) |
| 3. | \(W_1<W_2\) |
| 4. | Any of the above can be true |
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| 1. | \(N\) increases as \(F\) increases. |
| 2. | \(N\) does not act through the center of the block. |
| 3. | \(f\) is greater than \(F.\) |
| 4. | \(f\) acts through the centre of the block. |
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| 1. | \(m\dfrac{g+2a}{g+a}\) |
| 2. | \(m\dfrac{g+a}{g}\) |
| 3. | \(m\dfrac{g+a}{a}\) |
| 4. | \(m\dfrac{g+2a}{g}\) |
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1. \(F\)
2. \(2F\)
3. \(\sqrt2F\)
4. \(\dfrac{F}{\sqrt2}\)
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1. \(g\)
2. \(\dfrac{g}{2}\)
3. \(\dfrac{g}{\sqrt2}\)
4. \(g\sqrt2\)
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1. \(8\) N
2. \(6\) N
3. \(4\) N
4. \(2\) N
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1. \(10\) N
2. \(10 \sqrt 2\) N
3. \(5 \sqrt 2\) N
4. \(5\) N
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| 1. | \(\dfrac{g}{2}\) | 2. | \(\dfrac{g}{5}\) |
| 3. | \(\dfrac{2g}{5}\) | 4. | \(g\) |
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| 1. | \(F_1 < F_2\) |
| 2. | \(F_1 = F_2\) |
| 3. | \(F_1 >F_2\) |
| 4. | the relationship between \(F_1\) and \(F_2\) depends on the mass of the cylinder |
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