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Two identical balls A and B having velocities of 0.5 m/s and –0.3 m/s respectively collide elastically in one dimension. The velocities of B and A after the collision respectively will be

(A)

0.3 m/s and 0.5 m/s

(B)

– 0.5 m/s and 0.3 m/s

(C)

0.5 m/s and – 0.3 m/s

(D)

– 0.3 m/s and 0.5 m/s

NEET - Medical UG-2016 Medium

Answer & Solution:

Let velocity of balls be \(\Large v_1\) and \(\Large v_2\)

On applying momentum energy conservation:

\(\large mv_1 + mv_2 = m(0.5) + m(-0.3) \)..... eq1 

\(\Large e = 1 = \frac{v_2 - v_1}{0.5 - (-0.3) } \)

So, \(\large v_1 = -0.3 m/s\) & \(\large v_2 = 0.5 m/s\)

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Other Questions of the same topic

Q1:

A mass m moves in a circle on a smooth horizontal plane with velocity v\(\large _{0}\) at a radius R\(\large _{0}\). The mass is attached to a string which passes through a smooth hole in the plane as shown.

The tension in the string is increased gradually and finally m moves in a circle of radius \(\large \frac{R_{0}}{2}\) . The final value of the kinetic energy is :-

(A)

\(\large \frac{1}{4}\: \: mv_{0}^{2}\)

(B)

\(\large 2 mv_{0}^{2}\)

(C)

\(\large \frac{1}{2}\: \: mv_{0}^{2}\)

(D)

\(\large mv_{0}^{2}\)

NEET - Medical UG-2015 Easy

Q2:

A block of mass 10 kg, moving in x direction with a constant speed of 10 ms\(\large ^{-1}\), is subjected to a retarding force F = 0.1 x J/m during its travel from x = 20 m to 30 m. Its final KE will be:

(A)

450 J

(B)

275 J

(C)

250 J

(D)

475 J

NEET - Medical UG-2015 Easy

Q3:

A ball is thrown vertically downwards from a height of 20 m with an initial velocity \(\large \nu _{0}\). It collides with the ground, loses 50 percent of its energy in collision and rebounds to the same height. The initial velocity

\(\large \nu _{0}\) is : (Take g = 10 ms\(\large ^{-2}\))

(A)

10 ms\(\large ^{-1}\)

(B)

14 ms\(\large ^{-1}\)

(C)

20 ms\(\large ^{-1}\)

(D)

28 ms\(\large ^{-1}\)

NEET - Medical UG-2015 Easy

Q4:

The heart of a man pumps 5 litres of blood through the arteries per minute at a pressure of 150 mm of mercury. If the density of mercury be 13.6 × 10\(\large ^{3}\) kg/m\(\large ^{3}\) and g = 10m/s\(\large ^{2}\) then the power of heart in watt is:

(A)

1.50

(B)

1.70

(C)

2.35

(D)

3.0

NEET - Medical UG-2015 Medium

Chemistry Biology

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