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NEET Physics Solved Question Paper 2015

Multiple Choice Questions

1.
If P and Q are two non-collinear unit vectors and if $|P + Q| = \sqrt{3}$ then the value of (P - Q)(2P + Q) will be

1

2

$\frac{1}{2}$

$\frac{3}{2}$

$\frac{1}{2}$

$Given |P + Q| = \sqrt{3} \Rightarrow P^{2} + Q^{2} + 2 PQ cosθ = 3 \Rightarrow 1^{2} + 1^{2} + 2 \times 1 \times 1 cosθ = 3 ∴ cosθ = \frac{1}{2} Now, (P - Q) (2 P + Q) = 2 P . P + P . Q - 2 Q . P - Q . Q = 2 {(1)}^{2} - 1 \times 1 cosθ - 1^{2} = 2 - \frac{1}{2} - 1 = \frac{1}{2}$

A gas bubble forms an explosion under water which oscillate with a period T ∝ p^aρ^bE^c, where p is the static pressure, ρ is the density ofwater and E is the total energy of explosion. Then, the values of a, b and c will be

$- \frac{5}{6}, \frac{1}{2}, \frac{1}{3}$
$\frac{2}{5}, \frac{1}{3}, \frac{1}{4}$
$\frac{4}{5}, \frac{9}{8}, \frac{1}{2}$
$\frac{3}{2}, \frac{1}{4}, \frac{5}{6}$

If a particle moves a distance x at a speed v₁ and comes back with speed v₂ , then the average speed and average velocity during this round trip will respectively be

0, v₁ + v₂
$\frac{2 v_{1} v_{2}}{v_{1} + v_{2}}, 0$
v₁ + v₂, 0
v₁ − v₂, $\frac{2 v_{1} v_{2}}{v_{1} + v_{2}}$

On an electron in an atom both electric and gravitational forces are collinear we neglect gravitational force (F_G) in comparision to electric force (F_E ), because

F_E > F_G
F_N > F_E
F_E >> F_G
F_N >> F_G

A metal block of mass 1 kg is resting on a frictionless horizontal plane. It is struck by a jet releasing water at a rate of 1 m/s and at a speed of 4 m/s. Then, the initial acceleration of the block will be

2 m/s²
8 m/s²
1 m/s²
4 m/s²

A body of mass 5 kg moves on a straight path as a function of time x = t³ − 12t. The force on the body at t = 5s will be

100 N
150 N
120 N
130 N

The potential energy of a certain spring when stretched through a distance x is 20 J. The amoµnt of work that must be done on this spring to stretch it through an additional distance $\frac{x}{2}$ will be

20 J
25 J
5 J
15 J

A flywheel of moment of inertia 0.4 kg-m² and radius 20 cm is free to rotate about a central axis. If a string is wrapped on its circumference and it is pulled with a force of 10 N, then the change in its angular velocity after 4 s will be

10 rad/s
20 rad/s
40 rad/s
5 rad/s

Three identical spheres of mass m each are placed at the corners of an equilateral triangle of side 1 m. Taking one of the corners as the origin, the position vector of centre of mass is

$\frac{1}{2} \overset{\land}{i} + \frac{\sqrt{3}}{2} \overset{\land}{j}$
$\frac{1}{2} \overset{\land}{i} + \frac{1}{2 \sqrt{3}} \overset{\land}{j}$
$\overset{\land}{i} + \overset{\land}{j}$
$2 \overset{\land}{i} - \overset{\land}{j}$

10.

The driver of a truck travelling with a velocity v suddenly notice a brick wall infront of him at a distance r. How the driver avoid himself by crashing into the wall ?