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NEET Practice Questions (MCQs) with Answers & Solutions

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The moment of inertia of a cube of mass m and side a about one of its edges is equal to

$\frac{2}{3} m a^{2}$

$\frac{4}{3} m a^{2}$

$3 m a^{2}$

$\frac{8}{3} m a^{2}$

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If the net external forces acting on the system of particles is zero, then which of the following may vary ?

Momentum of the system

Velocity of centre of mass

Position of centre of mass

None of the above

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A constant torque of 1000 N-m turns a wheel of moment of inertial 200 $kg - m^{2}$ about an axis through its centre. Its angular velocity after 3 s is

1 rad/s

5 rad/s

10 rad/s

15 rad/s

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Explanation

Angular acceleration

$α = \frac{τ}{I} = \frac{1000}{200} = 5 rad / s^{2} ω = αt = (5) (3) = 15 rad / s$

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A wheel is rotating about an axis through its centre at 720 r.p.m. It is acted on by a constant torque opposing its motion for 8 seconds to bring it to rest finally. The value of torque is Nm is (given l = $\frac{24}{π}$ kg $m^{2}$ )

120

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Explanation

$n = 720 rpm = \frac{720}{60} = 12 rps ∴ ω_{0} = 2 π x 12 = 24 π rad / \sec and ω = 0 applying ω = ω_{0} + α t 0 = 24 π + α x 8 α = - 3 π rad / \sec^{2} τ = I α = \frac{24}{π} x 3 π = 72 Nm$

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A circular disc A of radius r is made from an iron plate of thickness t and another circular disc B of radius 2r and thickness $\frac{t}{4}$ . The relation between moments of inertia $I_{A}$ and $I_{B}$ is

$I_{A} > I_{B}$

$I_{A} = I_{B}$

$I_{A} < I_{B}$

Depends on the actual values of t and r

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Explanation

The moment of inertia of a disc about its axis is (1/2)MR^2, where M is the mass and R is the radius. For disc B, the radius is 2r and mass is proportional to (2r)^2 * (t/4) = rt/2. Therefore, the moment of inertia of B is greater than that of A.

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A stationary bomb explodes into two parts of masses 3kg and 1kg. The total KE of the two parts after explosion is 2400 J. The KE of smaller part is

600 J

1800 J

1200 J

2160 J

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Explanation

According to the principle of conservation of momentum and kinetic energy, when an explosive body breaks into smaller parts, most of the kinetic energy is acquired by the smaller part due to its larger velocity. Hence, the 1 kg part has a higher kinetic energy of 1800 J.

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Two balls of equal masses have a head-on collision with speed 6 m/s each. If the coefficient of restitution is 1/3, the speed of each ball after impact will be

18 m/s

2 m/s

6 m/s

data insufficient

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Explanation

In a perfectly elastic collision between two equal masses, the relative velocity after collision remains the same, but the direction is reversed. With coefficient of restitution 1/3, the relative velocity after collision is 1/3 of the initial relative velocity. Hence, each ball moves with a speed of 2 m/s.

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A wheel is rotating 900 rpm about its axis. When power is cut off it comes to rest in 1 min. The angular retardation in rad/s² is

$π / 2$

$π / 4$

$π / 6$

$π / 8$

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A particle of mass 2 kg located at the position $(\hat{i} + \hat{j})$ m has a velocity of 2 $(+ \hat{i} - \hat{j} + \hat{k})$ m/s. Its angular momentum about z-axis in kg- $m^{2} / s$ is :

-4

-8

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Explanation

About origin, angular momentum will be

$m (r x v) = 2 |\begin{matrix} \hat{i} & \hat{j} & \hat{k} \\ 1 & 1 & 0 \\ 2 & - 2 & 2 \end{matrix}| = 4 \hat{i} - 4 \hat{j} - 8 \hat{k}$

Therefore, the component of angular momentum about the z-axis would be -8 kg- $m^{2} / s$ .

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An automobile engine develops 100 kW when rotating at a speed of 1800 rev/min. What torque does it deliver ?

350 N-m

440 N-m

531 N-m

628 N-m

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Yes. You can attempt every NEET question on this page for free without logging in, and check the correct answer with a detailed explanation instantly.

No account is required to attempt questions and view answers. A free account adds bookmarks, personal notes, and progress tracking.

The bank mixes NEET previous year questions (PYQs) with practice questions, each tagged with its exam appearances where applicable.