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Byju's Answer

Standard XII

Physics

COE in Elastic Collision

Assertion A :...

Question

Assertion (A) : A body of " $m_{1}$ " collides another body of mass " $m_{2}$ " at rest elastically. The fraction of energy transferred to the second body is $\frac{m_{1}}{m_{1} + m_{2}}$
Reason (R) : In an "inelastic collision" only linear momentum is conserved

Both Assertion (A) and Reason (R) are correct
and R is the correct explanation

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Both Assertion (A) and Reason (R) are correct but
the reason does not give the correct explanation

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A is true but R is false

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A is false but R is true

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Solution

The correct option is D A is false but R is true
In elastic collision no energy loss takes place that is total energy is transferred.
However, in inelastic collision, energy loss takes place and only linear momentum is conserved.

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Similar questions

Q. Assertion (A) : A body of mass "

m_{1}

" collides elastically with another body of mass "

m_{2}

" at rest the ratio of the the final energy of the first body to the final energy of the second body is

\frac{(m_{1} - m_{2})^{2}}{4 m_{1} m_{2}}

.
Reason (R) : The collision is perfectly elastic and the coefficient of restitution is 1.

Q. Assertion (A) : A body of mass 'm' collides another body of mass nm' at rest. The energy transferred to the second body is

\frac{4 n}{(n + 1)^{2}}

Reason (R) : The above collision is a perfectly inelastic collision

(a) Both Assertion (A) and Reason (R) are true and Reason (A) and Reason (R). For selecting the correct answer, use the following code :

(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).

(d) Assertion (A) is false and Reason (R) is true.

$\begin{matrix} Assertion (A) & Reason (R) \sqrt{3} i s a n i r r a t i o n a l n u m b e r . & T h e s u m o f a r a t i o n a l n u m b e r a n d a n i r r a t i o n a l n u m b e r i s a n i r r a t i o n a l n u m b e r . \end{matrix} The correct answer is: (a)/(b)/(c)/(d).$

This question consists of two statements, namely, Assertion (A) and Reason (R). For selecting the correct answer, use the following code:

(a) Both Assertion (A) and Reason (R) are true and Reason (R) correct explanation of Assertion (A).

(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).

(d) Assertion (A) is false and Reason (R) is true.

Q. Assertion (A)

\sqrt{8}

is an irrational number.
Reason (R)
If m is a natural number which is not a perfect square, then

\sqrt{m}

is irrational.

(a) Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not correct explanation of Assertion (A).
(c) Assertion (A) is true and Reason (R) is false.
(d) Assertion (A) is false and Reason (R) is true.

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Assertion (A) : A body of "m1" collides another body of mass "m2" at rest elastically. The fraction of energy transferred to the second body ism1m1+m2Reason (R) : In an "inelastic collision" only linear momentum is conserved

The correct option is D A is false but R is trueIn elastic collision no energy loss takes place that is total energy is transferred.However, in inelastic collision, energy loss takes place and only linear momentum is conserved.

Assertion (A) : A body of " $m_{1}$ " collides another body of mass " $m_{2}$ " at rest elastically. The fraction of energy transferred to the second body is $\frac{m_{1}}{m_{1} + m_{2}}$
Reason (R) : In an "inelastic collision" only linear momentum is conserved

The correct option is D A is false but R is true
In elastic collision no energy loss takes place that is total energy is transferred.
However, in inelastic collision, energy loss takes place and only linear momentum is conserved.