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NEET Physics Solved Question Paper 2010

Multiple Choice Questions

The ground state energy of hydrogen atom is -13.6 eV. The kinetic energy of the electron
in this state is

27.2 eV
13.6 eV
6.8 eV
3.4 eV

A satellite is in a circular orbit round the earth at an altitude R above the earth's surface,where R is the radius of the earth. If g is the acceleration due to gravity on the surface of the earth the speed of the satellite is

$\sqrt{2 Rg}$
$\sqrt{Rg}$
$\sqrt{Rg / 2}$
$\sqrt{Rg / 4}$

The moment of inertia of a ring about one of its diameter is I. What will be its moment of inertia about a tangent parallel to the diameter?

$\frac{4}{3}$ I
2 I
$\frac{3}{2}$ I
3 I

A massless spring of natural length of 0.5 m and spring constant 50 N/m has one end fixed and the other end attached to mass of 250 g. The spring mass system is on a smooth floor. The mass is pulled until the length of the spring is 0.6 and then released from rest. The kinetic energy of the mass when the length of the spring is 0.5 m is

0.0176 J
2.25 J
6.25 J
9 J

A disc, initially at rest, starts rotating about its own axis, with a constant angular acceleration of 0.2 rad/s². The time taken by the disc to rotate by 10 rad is (in second)

7.07
10
14.14
100

6.
Two satellites S₁ and S₂ revolve round a planet in coplanar circular orbits in the same sense. Their periods of revolution are 1 h and 8 h respectively. The radius of the orbit of S₁ is 10⁴ km. The speed of S₂ relative to S₁ when they are closest, in km/h is

10⁴ $π$

2 × 10⁴ $π$

10⁴ $\frac{π}{2}$

4 × 10⁴ $π$

10⁴ $π$

From Kepler's law,

$\frac{r_{2}}{r_{1}} = {(\frac{T_{2}}{T_{1}})}^{2 / 3} \frac{r_{2}}{10^{4}} = {(\frac{8}{1})}^{2 / 3} \frac{r_{2}}{10^{4}} = 4 \Rightarrow r_{2} = 4 \times 10^{4} km$

Velocity of first satellite

v₁ = $\frac{2 {πr}_{1}}{T_{1}}$

= $\frac{2 π \times 10^{4}}{1} = 2 π \times 10^{4} km / h$

Velocity of second satellite

v₂= $\frac{2 {πr}_{2}}{T_{2}}$

= $\frac{2 π \times 4 \times 10^{4}}{8} = π \times 10^{4} km / h$

Velocity of S₂ relative to

S₁= v₂ − v₁

= $π \times 10^{4} - 2 π \times 10^{4}$

= $- π \times 10^{4} km / h$

∴ Relative speed = $π \times 10^{4} km / h$

A disc of a siren containing 60 holes rotates at a constant speed of 360 rpm. The emitted sound is in unison with a tuning fork of frequency

10 Hz
360 Hz
216 Hz
60 Hz

A particle performing uniform circular motion has angular momentum L. If its angular frequency is doubled and its kinetic energy halved, then the new angular momentum is

$\frac{L}{4}$
2L
4L
$\frac{L}{2}$

A circular disc X of radius R is made from an iron plate of thickness t, and another disc Y of radius 4R is made from an iron plate of thickness t/4. Then the relation between the moments of inertia I_X and I_Y is

I_Y = 321_X
I_Y = 161_X
I_Y = I_X
I_Y = 641_X

10.

A 1 kg stone at the end of 1 m long string is whirled in a vertical circle at constant speed of 4 m/s. The tension in the string is 6 N, when the stone is a