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NEET Physics Solved Question Paper 2012

Multiple Choice Questions

A 4 kg roller is attached to a massless spring of spring constant k = 100 N/m. It rolls without slipping along a frictionless horizontal road. The roller is displaced from its equilibrium position by 10 cm and then released. Its maximum speed will be

0.5 m s^-1
0.6 m s^-1
0.4 m s^-1
0.8 m s^-1

A particle is thrown vertically upwards with velocity 11.2 km s1 from the surface of earth. Calculate its velocity at height 3 R. Where R is the radius of earth

$≃$ 9.25 km s^-1
$≃$ 5.6 km s^-1
$≃$ 11.2 km s^-1
$≃$ 4.3 km s^-1

If 2 kg mass is rotating on a circular path of radius 0.8 m with angular velocity of 44 rad/sec. If radius of the path becomes 1 m, ther what will be the value of angular velocity?

28.16 rad/sec
19.28 rad/sec
8.12 rad/sec
35.26 rad/sec

Find out the correct relation for the dependance of change in acceleration due to gravity on the angle at the latitude, due to rotation of earth

dg ∝ cos $ϕ$
dg ∝ cos² $ϕ$
dg ∝ cos^3/2 $ϕ$
dg ∝ $\frac{1}{cosϕ}$

5.
A solid cylinder, a circular disc, a solid sphere and a hollow cylinder of the same radius are placed on an inclined plane. Which of the following will have maximum acceleration at the bottom of the plane?

Circular disc

Solid cylinder

Solid sphere

Hollow cylinder

Solid sphere

Let the inclination of the inclined plane be θ.

Acceleration of a rolling body is given as

a = $\frac{g sinθ}{(1 + \frac{K^{2}}{R^{2}})}$

Here K is the radius of gyration.

For circular disc

I = $\frac{1}{2} {MR}^{2}$

∴ $\frac{K^{2}}{R^{2}} = \frac{1}{2}$

a = $\frac{2}{3}$ gsinθ ....(i)

For solid cylinder

I = $\frac{1}{2} {MR}^{2}$

∴ $\frac{K^{2}}{R^{2}} = \frac{1}{2}$

∴ a = $\frac{2}{3}$ gsinθ ....(ii)

For solid sphere

I = $\frac{2}{5} {MR}^{2}$

∴ $\frac{K^{2}}{R^{2}} = \frac{2}{5}$

∴ a = $\frac{5}{7}$ gsinθ .....(iii)

For hollow cylinder

I = MR²

∴ $\frac{K^{2}}{R^{2}}$ = 1

∴ a = $\frac{1}{2}$ gsinθ ....(iV)

hence (i), (ii), (iii) and (iV) we conclude that the solid sphere will reach the bottom with maximum acceleration.

Calculate the heat emitted by a bulb of 100 W in 1 min.

100 J
1000 J
600 J
6000 J

Assertion: Animate object can accelerate in the absence of external force.

Reason: Newton's second law is not applicable on animate object.

If both assertion and reason are true and reason is the correct explanation of assertion.
If both assertion and reason are true but reason is not the correct explanation of assertion.
If assertion is true but reason is false.
If both assertion and reason is false.

Assertion: In elastic collision, kinetic energy is conserved.

Reason: Energy is always conserved.

If both assertion and reason are true and reason is the correct explanation of assertion.
If both assertion and reason are true but reason is not the correct explanation of assertion.
If assertion is true but reason is false.
If assertion is true but reason is false.