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Q. No.An instrument with a small least count will have definitely:
1.
high accuracy and high precision
2.
low accuracy and low precision
3.
high accuracy
4.
high precision
Subtopic: Measurement & Measuring Devices |
Level 4: Below 35%
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Two measured quantities are given by \(A=(1.0~\text{m} \pm0.2 ~\text{m})\) and \(B=(2.0~\text{m} \pm0.2 ~\text{m}).\) What is the reported value of \(\sqrt{AB}~?\)
1. \((1.4 ~\text{m}\pm0.4~ \text{m})\)
2. \((1.4 1~\text{m}\pm0.4~ \text{m})\)
3. \((1.4 ~\text{m}\pm0.2~ \text{m})\)
4. \((2 ~\text{m}\pm0.2~ \text{m})\)
1. \((1.4 ~\text{m}\pm0.4~ \text{m})\)
2. \((1.4 1~\text{m}\pm0.4~ \text{m})\)
3. \((1.4 ~\text{m}\pm0.2~ \text{m})\)
4. \((2 ~\text{m}\pm0.2~ \text{m})\)
Subtopic: Errors |
53%
Level 3: 35%-60%
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The dimension of which group of quantities is the same?
\(h\) : Planck's constant, \(K\) : kinetic energy, \(\omega\) : angular speed/frequency, \(F\): force, \(L\) : inductance, \(i\) : current, \(q\) : charge, \(t\) : time, \(x\): distance
1. \(h, ~Ftx,~ Liq\)
2. \(K , h\omega , \omega Li\)
3. \(Fx, ~Li^2,~K \omega\)
4. \(\dfrac{Fx}{t} ,~ Kx, ~ ht\)
\(h\) : Planck's constant, \(K\) : kinetic energy, \(\omega\) : angular speed/frequency, \(F\): force, \(L\) : inductance, \(i\) : current, \(q\) : charge, \(t\) : time, \(x\): distance
1. \(h, ~Ftx,~ Liq\)
2. \(K , h\omega , \omega Li\)
3. \(Fx, ~Li^2,~K \omega\)
4. \(\dfrac{Fx}{t} ,~ Kx, ~ ht\)
Subtopic: Dimensions |
54%
Level 3: 35%-60%
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A student measures the time period of \(100\) oscillations of a simple pendulum four times. That data set is \(90\) s, \(91\) s, \(95\) s and \(92\) s. If the minimum division in the measuring clock is \(1\) s, then the reported mean time should be:
1. \(92\pm 5.0\ \)s
2. \(92\pm 1.8\ \)s
3. \(92\pm 3\ \)s
4. \(92\pm 2\ \)s
1. \(92\pm 5.0\ \)s
2. \(92\pm 1.8\ \)s
3. \(92\pm 3\ \)s
4. \(92\pm 2\ \)s
Subtopic: Errors |
Level 3: 35%-60%
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A pendulum takes \(35.2\) seconds to complete \(10\) oscillations. What is the time period of the pendulum, expressed with the correct number of significant figures?
1. \(3.52~\text s\)
2. \(3.5~\text s\)
3. \(3.520~\text s\)
4. \(3.6~\text s\)
Subtopic: Significant Figures |
Level 3: 35%-60%
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If the error in the measurement of the momentum of a particle is \((+100\text{%}) \) then the error in the measurement of kinetic energy is:
| 1. | \(100\text{%}\) | 2. | \(200\text{%}\) |
| 3. | \(300\text{%}\) | 4. | \(400\text{%}\) |
Subtopic: Errors |
Level 4: Below 35%
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A rigid spherical body is spinning around an axis without any external torque. Due to temperature, its volume increases by \(3\%\). The percentage change in its angular speed is:
| 1. | \(-2\%\) | 2. | \(-1\%\) |
| 3. | \(-3\%\) | 4. | \(1\%\) |
Subtopic: Errors |
Level 4: Below 35%
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Which of the following quantities have the same dimension?
1. (B), (C)
2. (A), (B), (C)
3. (B), (D)
4. (A), (B), (C), (D)
| (A) | \(\dfrac{\text{(Magnetic flux)}^2}{\text{Electrical resistance}}\) | (B) | \(\text{Torque}\times\text{time}\) |
| (C) | \(\text{Momentum}\times\text{length}\) | (D) | \(\dfrac{\text{Power}}{\text{time}}\) |
2. (A), (B), (C)
3. (B), (D)
4. (A), (B), (C), (D)
Subtopic: Dimensions |
Level 3: 35%-60%
Hints
What is the unit of the quantity represented by: \(\dfrac{\text{(Angular momentum)}}{\text{(electric charge)}^2}\)
1. \(\Omega\) (ohm)
2. s/m
3. \(\text{H }\)(henry)
4. \(\text{F }\) (farad)
1. \(\Omega\) (ohm)
2. s/m
3. \(\text{H }\)(henry)
4. \(\text{F }\) (farad)
Subtopic: Dimensions |
56%
Level 3: 35%-60%
Hints
The quantity \(\eta\) is defined by: \(\eta=\dfrac{1}{\mu_0\sigma}\)
where \(\mu_0\) is the permeability of free space and \(\sigma\) is the electrical conductivity (of a plasma). \(\eta\) is referred to as the magnetic diffusivity. Its SI unit is:
1. m2/s
2. m/s2
3. C-m2/s
4. T-m/s
where \(\mu_0\) is the permeability of free space and \(\sigma\) is the electrical conductivity (of a plasma). \(\eta\) is referred to as the magnetic diffusivity. Its SI unit is:
1. m2/s
2. m/s2
3. C-m2/s
4. T-m/s
Subtopic: Dimensions |
Level 3: 35%-60%
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