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JEE Physics Solved Question Paper 2010

Multiple Choice Questions

31.
A mass of 4 kg suspended from a spring of force constant 800 Nm^-1 executes simple harmonic oscillations. If the total energy of the oscillator is 4 J, the maximum accelerations (in ms^-2) of the mass is

5

15

45

20

The total energy = $\frac{1}{2} {kA}^{2}$

$u = \frac{1}{2} {kA}^{2} or A^{2} = \frac{8}{800} or A^{2} = \frac{1}{100} or A = \frac{1}{10} = 0.1 m a_{\max} = ω^{2} A = \frac{k}{m} . A = \frac{800}{4} \times 0.1 a_{\max} = 20 m / s^{2}$

32.

Velocity of sound in air is 320 ms^-1. A pipe closed at one end has a length of 1 m. Neglecting end correction, the air column in the pipe cannot resonate with sound of frequency

80 Hz
240 Hz
320 Hz
400 Hz

33.

A whistle is blown from the tower of a factory with a frequency of 220 Hz. The apparent frequency of sound heard by a worker moving towards the factory with a velocity of 30 ms^-1 is (velocity of sound = 330 ms^-1)

280 Hz
200 Hz
300 Hz
240 Hz

34.

n identical drops, each of capacitance C and charged to a potential V, coalesce to form a bigger drop. Then the ratio of the energy stored in the big drop to that in each small drop is

n^5/3 : 1
n^4/3 : 1
n : 1
n³ : 1

35.

Two resistors of resistances 200 kΩ and 1 MΩ respectively form a potential divider with outer junctions maintained at potentials of+ 3 V and −15 V. Then, the potential at the junction between the resistors is

+ 1 V
− 0.6 V
Zero
− 12 V

36.

The graph between resistivity and temperature, for a limited range of temperatures, is a straight line for a material like

copper
nichrome
silicon
mercury

37.

In the circuit shown, the current through the 5 Ω resistor is

$\frac{8}{3} A$
$\frac{9}{13} A$
$\frac{4}{13} A$
$\frac{1}{3} A$

38.

A solenoid has core of a material with relative permeability 500 and its windings carry a current of 1 A. The number of turns of the solenoid is 500 m^-1. The magnetization of the material is nearly

2.5 × 10³ Am^-1
2.5 × 10⁵ Am^-1
2.0 × 10³ Am^-1
2.0 × 10⁵ Am^-1

39.

Choose the correct statement

A paramagnetic material tends to move from a strong magnetic field to weak magnetic field
A magnetic material is in the paramagnetic phase below its Curie temperature
The resultant magnetic moment in an atom of a diamagnetic substance is zero
Typical domain size of a ferromagnetic material is 1 nm

40.

A 2 µC charge moving around a circle with a frequency of 6.25 x 10¹² Hz produces a magnetic field 6.28 T at the centre of the circle. The radius of the circle is