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Physics Test - 17

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Physics Test - 17
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  • Question 1
    3 / -1

    Solution

  • Question 2
    3 / -1

    The thermo-emf of a thermocouple varies with the temperature θ of the hot junction as E = aθ + bθ2 in volts ,where the ratio a/b is 700°C. If the cold junction is kept at 0°C, what is the neutral temperature?

    Solution

    The neutral temperature is the temperature corresponding to maximum thermo-emf.

    At neutral temperature \(\frac{\mathrm{d} \mathrm{E}}{\mathrm{d} \theta}=0\)

    Here, \(\frac{\mathrm{d} \mathrm{E}}{\mathrm{d} \theta}=0\) implies

    \(\mathrm{a}+2 \mathrm{~b} \theta=0\)

    on solving,

    \(\theta=\frac{-2 \mathrm{~b}}{\mathrm{a}}\)

    Given \(\frac{a}{b}=700^{\circ} \mathrm{C}\)

    gives \(\theta\)a negative value which is not possible

    (Because \(\theta\) is the temperature difference between hot and cold junction which should be positive)

  • Question 3
    3 / -1

    If the acceleration due to gravity is 'g' on the surface of Earth, then the value of acceleration due to gravity at a height of 32 km above the surface of Earth is (radius of Earth = 6400 km)

    Solution

    The acceleration due to gravity at a height h above the surface of Earth is given by

  • Question 4
    3 / -1

    The maximum height attained by a projectile is increased by 10% by increasing its speed of projection, without changing the angle of projection. The percentage increase in the horizontal range will be?

    Solution

  • Question 5
    3 / -1

    If the distance between a point charge and an infinitely large charge plate is increased by factor 2, the new force on the point charge will be

    Solution

    Since an infinitely large charged plate will create an uniform field (constant), therefore the force remains the same.

  • Question 6
    3 / -1

    Two point charges, each of charge + q, are fixed at (+ a, 0) and (– a, 0). Another positive point charge q placed at the origin is free to move along the x-axis. The charge q at the origin in equilibrium will have

    Solution

  • Question 7
    3 / -1

    Three rods made of the same material and having the same cross-section have been joined as shown in the figure below. Each rod is of the same length. The left and right ends are kept at 0oC and 90oC, respectively. The temperature of the junction of the three rods will be

    Solution

  • Question 8
    3 / -1

    Solution

  • Question 9
    3 / -1

    The resistance of bulb filament is 100W at a temperature of 100°C. If its temperature coefficient of resistance is 0.005 per °C, its resistance will become 200 W at a temperature (°C) of _____.

    Solution

    100 = R0(1 + 0.005 × 100) -------- (i)

    200 = R0(1 + 0.005 × t) --------- (ii)

    Dividing (i) by (ii) and solving

    t = 200 °C

  • Question 10
    3 / -1

    A liquid takes 6 minutes to cool from 80oC to 50oC. If the temperature of the surroundings is 20oC, then how long will it take to cool from 60oC to 30oC?

    Solution

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