Assertion :A light body and heavy body have same momentum. Then light body has more kinetic energy. Reason: Kinetic energy does not depend on mass of the body.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Assertion is correct but Reason is incorrect

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Both Assertion and Reason are incorrect

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C Assertion is correct but Reason is incorrect
Reason is incorrect. The kinetic energy of a body is given as $K = \frac{1}{2} m v^{2}$
Let the masses and velocities of lighter and heavier bodies be $m, M$ and $v_{1}, v_{2}$ respectively.
Since momentum is same, $m v_{1} = M v_{2}$
The kinetic energies are given as $K = \frac{1}{2} m v^{2} = \frac{p^{2}}{2 m}$
Thus the kinetic energies are $\frac{P^{2}}{2 m}$ and $\frac{P^{2}}{2 M}$
Thus the lighter body has more kinetic energy since $m < M$

Suggest Corrections

Similar questions

Q. Assertion: Average kinetic energy in one oscillation during

SHM

of a body is

\frac{1}{4} m ω^{2} A^{2}

.
Reason: Maximum kinetic energy is

\frac{1}{2} m ω^{2} A^{2}

Assertion (A) All collision of reactant molecules lead to product formation.

Reason (R) Only those collisions in which molecules have correct orientation and sufficient kinetic energy lead to compound formation.

(a) Both assertion and reason are correct and the reason is correct explanation of assertion
(b) Both assertion and reason are correct, but reason does not explain assertion.
(c) Assertion is correct, but reason is incorrect
(d) Both assertion and reason are incorrect
(e) Assertion is incorrect but reason is correct.

Q. Assertion: The compressibility factor for

H_{2}

and

H e

(1 + \frac{P b}{R T})

Reason: The compressibility factor for

H_{2}

and

H e

can be derived from Van der Waal's equation.

Assertion (A) The enthalpy of reaction remains constant in the presence of a catalyst.

Reason (R) A catalyst participating in the reaction forms different activated complex and lowers down the activation energy but the difference in enrgy of reactant and product remains the same.

Assertion: Be and Al have similar properties.

Reason: $B e^{2 +}$ and $A l^{3 +}$ have nearly the same charge/volume ratios and similar polarising power.

Join BYJU'S Learning Program