\(1\) kg of water is converted into steam at the same temperature and at \(1\) atm (\(100\) kPa). The density of water and steam are \(1000\) kgm-3 and \(0.6\) kgm-3 respectively. The latent heat of vaporization of water is \(2.25 \times 10^6 \mathrm{~J} \mathrm{~kg}^{-1}\). What will be the increase in energy?
1. \( 3 \times 10^5 \mathrm{~J} \)
2. \( 4 \times 10^6 \mathrm{~J} \)
3. \( 2.08 \times 10^6 \mathrm{~J}\) 
4.  None of these

Subtopic:  Calorimetry |
Please attempt this question first.
Hints

The ammeter shown in figure consists of a 480 \(\Omega\) coil connected in parallel to a 20 \(\Omega\) shunt. The reading of the  ammeter is:
           

1. 0.125 A
2. 1.67 A
3. 0.13 A
4. 0.67A

Subtopic:  Combination of Resistors |
Please attempt this question first.
Hints

A lead ball at 30°C is dropped from a height of 6.2 km. The ball is heated due to the air resistance and it completely melts just before reaching the ground. The molten substance falls slowly on the ground. If the specific heat of lead = 126 Jkg-1oc-1 and a melting point of lead = 330°C and suppose that any mechanical energy lost is used to heat the ball, then the latent heat of fusion of lead is:
1.  2.4 × 104 J kg-1
2.  3.6 × 104 J kg-1
3.  7.6 × 102 J kg-1
4.  42 × 103 J kg-1
Subtopic:  Calorimetry |
Please attempt this question first.
Hints

advertisementadvertisement

An inductor (L = 20 H), a resistor (R = 100 \(\Omega\)) and a battery (E = 10 V) are connected in series. After a long time, the circuit is short-circuited and then the battery is disconnected. Find the current in the circuit at 1 ms after short-circuiting.

1.  4.5 x 106 A
2.  3.2 x 10-5 A
3.  9.8 x 10-6 A
4.  6.7 x 10-4 A

Subtopic:  Different Types of AC Circuits |
Please attempt this question first.
Hints

Two charges of + 10 \(\mu\text C\) and +20 \(\mu\text C\) are separated by a distance of 2 cm. The net potential (electric) due to the pair at the middle point of the line joining the two changes, is:

1.  27 MV
2.  18 MV
3.  20 MV
4.  23 MV

Subtopic:  Electric Potential |
 54%
Please attempt this question first.
Hints

A copper rod of length 20 cm and cross-sectional area 2 mm2 is joined with a similar aluminium rod as shown below,

The resistance of a pair of rods is:
( and  \((\rho_{_{al}}=2.6\times10^{-6})~\Omega-m\) and \((\rho_{_{Cu}}=1.7\times10^{-8})~\Omega-m\)

1.  1.0 m\(\Omega\)
2.  2.0 m\(\Omega\)
3.  3.0 m\(\Omega\)
4.  None of these

Subtopic:  Combination of Resistors |
Please attempt this question first.
Hints

advertisementadvertisement

A particle is subjected to two simple harmonic motions along the X-axis while the other is along a line making an angle of 45° with the X-axis. The two motions are given by \(x = x_0\) sin \(\omega t\) and \(s = s_0\) sin \(\omega t\). The amplitude of the resultant motion is:
1. \(x_0+s_0+2x_0s_0\)
2. \(\sqrt{x^2_0+s^2_0}\)
3. \(\sqrt{x^2_0+s^2_0+2x_0s_0}\)
4. \(x^2_0=s^2_0+\sqrt2x_0s_0~^{1/2}\)

Subtopic:  Simple Harmonic Motion |
Please attempt this question first.
Hints

What is the change in the volume of \(1.0~\mathrm{L}\) kerosene when it is subjected to an extra pressure of \(2.0 \times 10^5 \mathrm{~Nm}^{-2}\) from the following data?
(The density of kerosene \(=800~\mathrm{kgm^3}\) and the speed of sound in kerosene \(=1330~\mathrm{ms^{-1}}\))
1. \( 0.97 \mathrm{~cm}^{-3} \)
2. \( 0.66 \mathrm{~cm}^{-3} \)
3. \( 0.15 \mathrm{~cm}^{-3} \)
4. \(0.59 \mathrm{~cm}^{-3}\)

Subtopic:  Elasticity |
Please attempt this question first.
Hints

A \(4\) kg block is suspended from the ceiling of an elevator through a spring having a linear mass density of \(19.2 \times 10^{-3} \mathrm{~kg} \mathrm{~m}^{-3} \). Find the speed with respect to the spring with which a wave pulse can proceed on the spring if the elevator accelerates up at the rate of \(2.0\) ms-2.
(Take \(g=10\) ms-2.)
1. \( 30 \mathrm{~m} / \mathrm{s} \)
2. \(42 \mathrm{~m} / \mathrm{s} \)
3. \( 46 \mathrm{~m} / \mathrm{s} \)
4. \( 50 \mathrm{~m} / \mathrm{s} \)

Subtopic:  Wave Motion |
Please attempt this question first.
Hints

advertisementadvertisement

The lower end of the capillary tube is immersed in mercury. The level of mercury in the tube is found to be 2 cm below the Outer level. If the same tube is immersed in water, up to what height will the water rise in the capillary?

1.  5.9
2.  4.9
3.  2.9
4.  1 .9
Subtopic:  Capillary Rise |
Please attempt this question first.
Hints