# The temperatures of two bodies measured by a thermometer are ${\mathrm{t}}_{1}$ = 20 oC ± 0.5 oC and ${\mathrm{t}}_{2}$ = 50 oC ± 0.5 oC. The temperature difference with permissible error is: 1.  31 oC ± 0.5 oC  2.  30 oC ± 1.0 oC  3.  30 oC ± 0.0oC  4.  30 oC ± 1.5 oC

Subtopic:  Errors |
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The resistance R = $\frac{\mathrm{V}}{\mathrm{I}}$ where V = (100 ± 5)V and = (10 ± 0.2)A. The percentage error in R is:

1.  $5%$

2.  $2%$

3.  $7%$

4.  $3%$

Subtopic:  Errors |
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Two resistors of resistances  ohm and  ohm are connected in series, the equivalent resistance of the series combination is:

1.  (300 ± 7) ohm

2.  (300 ± 1) ohm

3.  (300 ± 0) ohm

4.  (100 ± 1) ohm

Subtopic:  Errors |
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Two resistors of resistances  ohm and  ohm are connected in parallel. The equivalent resistance of the parallel combination is:

1.  (300 ± 7) ohm

2.  (66.7 ± 7) ohm

3.  (66.7 ± 1.8) ohm

4.  (100 ± 1) ohm

Subtopic:  Errors |
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The relative error in Z, if Z = $\frac{{\mathrm{A}}^{4}{\mathrm{B}}^{1/3}}{{\mathrm{CD}}^{3/2}}$ is:

1.

2.

3.

4.

Subtopic:  Errors |
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The period of oscillation of a simple pendulum is . Measured value of L is 20.0 cm known to 1 mm accuracy and time for 100 oscillations of the pendulum is found to be 90 s using a wrist watch of 1 s resolution. The percentage error in is:

1.  $2%$

2.  $3%$

3.  $5%$

4.  $0%$

Subtopic:  Errors |
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Each side of a cube is measured to be 7.203 m. What are the total surface area and the volume respectively of the cube to appropriate significant figures?

1.

2.

3.

4.

Subtopic:  Significant Figures |
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5.74 g of a substance occupies 1.2 ${\mathrm{cm}}^{3}$. Its density by keeping the significant figures in view is:

1.  4.7333 $\mathrm{g}/{\mathrm{cm}}^{3}$

2.  3.8 $\mathrm{g}/{\mathrm{cm}}^{3}$

3.  4.8 $\mathrm{g}/{\mathrm{cm}}^{3}$

4.  3.7833 $\mathrm{g}/{\mathrm{cm}}^{3}$

Subtopic:  Dimensions |
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The SI unit of energy is ; that of speed v is ${\mathrm{ms}}^{-1}$ and of acceleration a is ${\mathrm{ms}}^{-2}$. Which of the formula for kinetic energy (K) given below can you rule out on the basis of dimensional arguments (m stands for the mass of the body)?

(a) K = ${\mathrm{m}}^{2}{\mathrm{v}}^{3}$

(b) K = $\left(1/2\right){\mathrm{mv}}^{2}$

(c) K = ma

(d) K = (3/16)${\mathrm{mv}}^{2}$

(e) K = (1/2)${\mathrm{mv}}^{2}$+ma

1.  (a), (c) & (d)

2.  (b) & (d)

3.  (a), (c), (d) & (e)

4.  (a), (c) & (e)

Subtopic:  Dimensions |
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Let us consider an equation $\frac{1}{2}{\mathrm{mv}}^{2}=\mathrm{mgh}$ where m is the mass of the body, v its velocity, g is the acceleration due to gravity and h is the height. The equation is:

(1) dimensionally correct.

(2) dimensionally incorrect.

(3) can not be checked by dimensional analysis.

(4) can't say anything.

Subtopic:  Significant Figures |
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