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Two perfectly elastic particles A and B of equal mass traveling along the line joining them with velocities 15 m/s and 10 m/s. After the collision, their velocities will be

10 m/s, 10 rn/s

15 m/s, 15 m/s

10 rn/s, 15 m/s

15 m/s, 10 m/s

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A small disc of radius 2 cm is cut from a disc of radius 6 cm. If the distance between their centres is 3.2 cm, what is the shift in the centre of mass of the disc?

0.4 cm

2.4 cm

1.8 cm

1.2 cm

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From a circular disc of radius R, a square is cut out with a radius as its diagonal. The centre of mass of remainder is at a distance (from the centre)

$\frac{R}{(4 π - 2)}$

$\frac{R}{2 π}$

$\frac{R}{(π - 2)}$

$\frac{R}{(2 π - 2)}$

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Two bodies with moment of inertia $I_{1} a n d I_{2}$ $(I_{1} > I_{2})$ and have equal angular momenta. If KE of rotation are $E_{1} a n d E_{2}$ , then

$E_{1} = E_{2}$

$E_{1} > E_{2}$

$E_{1} < E_{2}$

$E_{1} \geq E_{2}$

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Explanation

$E_{1} = \frac{1}{2} I_{1} ω_{1}^{2}, E_{2} = \frac{1}{2} I_{2} ω_{2}^{2} A s I_{1} ω_{1} = I_{2} ω_{2} I_{1}^{2} ω_{1}^{2} = I_{2}^{2} ω_{2}^{2}; I_{1} I_{1} ω_{1}^{2} = I_{2} I_{2} ω_{2}^{2} ∴ \frac{I_{1} ω_{1}^{2}}{I_{2} ω_{2}^{2}} = \frac{I_{2}}{I_{1}} o r \frac{\frac{1}{2} I_{1} ω_{1}^{2}}{\frac{1}{2} I_{2} ω_{2}^{2}} = \frac{E_{1}}{E_{2}} = \frac{I_{2}}{I_{1}} < 1 E_{1} < E_{2}$

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A mass m with velocity u strikes a wall normally and returns at the same speed. What is the magnitude of the change in momentum of the body when it returns

4 mu

2 mu

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Two particles of equal mass have coordinates (2m,4m,6m) and (6m,2m,8m). Of these one particle has velocity $v_{1} = (2 \hat{i})$ m/s and another particle has velocity $v_{2} = (2 \hat{j})$ m/s at time t = 0. The coordinate of their centre of mass at time t = 1 s will be

(4m,4m,7m)

(5m,4m,7m)

(2m,4m,6m)

(4m,5m,4m)

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Explanation

After 1 s, coordinates of first particle will become (4m,4m,6m) and co-ordinates of second particle will become (6m,4m,8m)

$∴ X_{c m} = \frac{4 + 6}{2} = 5 m Y_{c m} = \frac{4 + 4}{2} = 4 m Z_{c m} = \frac{6 + 8}{2} = 7 m$

Note : In this problem answer is independent of the fact whether the first particle has velocity $v_{1} or v_{2}$ . Think why?

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The M.I. of a body about the given axis is 1.2 kg x $m^{2}$ initially the body at rest. In order to the rotational kinetic energy of 1500 J, the angular acceleration of 25 rad/ $\sec^{2}$ must be about that axis for the duration of

4 sec

2 sec

8 sec

10 sec

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Explanation

$Rotational kinetic energy = \frac{1}{2} {Iω}^{2} = 1500 \Rightarrow \frac{1}{2} \times 1 .2 \times ω^{2} = 1500 \Rightarrow ω^{2} = \frac{3000}{1 .2} \Rightarrow ω = 50 rad / s Initially the body was at rest and after t \sec its angular velocity becomes 50 rad / s ω = ω_{0} + αt \Rightarrow 50 = 0 + 25 \times t \Rightarrow t = 2 s$

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A loop rolls down on the inclined plane. The fraction of its total kinetic energy that is associated with rotational motion is

1: 2

1: 3

1: 4

2: 3

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Explanation

$Fraction = \frac{(KE)_{rot}}{(KE)_{rot} + (KE)_{trans}} = \frac{\frac{1}{2} {lω}^{2}}{\frac{1}{2} l_{0}^{2} + \frac{1}{2} {mv}^{2}}$

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A ball kept in a closed box moves in the box making collisions with the walls. The box is kept on a smooth surface. The velocity of the centre of mass

of the box remains constant

of the box plus the ball system remains constant

of the ball remains constant

of the ball relative to the box remains constant

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Explanation

No external force is zero. Hence velocity of CM of the box and ball system will remain constant

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A body of mass $m_{1}$ moving with a velocity $3 {ms}^{- 1}$ collides elastically with another body at rest of mass $m_{2}$ . After collision the velocities of the two bodies are $2 {ms}^{- 1}$ and $5 {ms}^{- 1}$ respectively along the direction of motion of $m_{2}$ . The ratio $\frac{m_{1}}{m_{2}}$ is

$\frac{5}{12}$

$5$

$\frac{1}{5}$

$\frac{12}{5}$

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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.