Assertion :Starting from rest with zero acceleration if acceleration of particle increases at a constant rate of $2 m s^{- 3}$ then velocity should increase at constant rate of $1 m s^{- 2}$ . Reason: For the given condition $\frac{d a}{d t} = 2 m s^{- 3}$ therefore $a = 2 t$ .

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

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

Assertion is incorrect but Reason is correct

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

Open in App

Solution

The correct option is D Assertion is incorrect but Reason is correct
Given $\frac{d a}{d t} = 2 m s^{- 3}$
on Integration
$a = 2 t m s^{- 2} + c_{1}$
$\Rightarrow v = t^{2} + c_{1} t + c_{2}$
There are also integrating constants hence
Reason given is correct but assertion is incorrect because rate of change of velocity is acceleration which is $t^{2}$

Suggest Corrections

Similar questions

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) Rate constant determined from Arrhenius equation are fairly accurate for simple as well as complex molecules.

Reason (R) Reactant molecules undergo chemical change irrespective of their orientation during collision.

(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 impurities such as

{SiO}_{2}

present in iron ore is removed by

{CaCO}_{3}

.

Reason:

CaO

formed by decomposition of

{CaCO}_{3}

reacts with

{SiO}_{2}

to form slag.

Assertion – The non-fusible impurities present in iron ore are removed by $C a C O_{3}$ .

Reason: $C a C O_{3}$ which decomposes into $C a O$ and $C O_{2}$ . The $C a O$ formed reacts with $S i O_{2}$ to remove silica

Q. Choose the correct option for the given assertion and reason.
Assertion: Two plane mirrors kept at right angle deviate any ray of light by

180^{\circ}

after two successive reflections.
Reason: The above condition is satisfied only for angle of incidence,

i = 45^{\circ}

Join BYJU'S Learning Program

Assertion :Starting from rest with zero acceleration if acceleration of particle increases at a constant rate of 2ms−3 then velocity should increase at constant rate of 1ms−2. Reason: For the given conditiondadt=2ms−3 therefore a=2t.

The correct option is D Assertion is incorrect but Reason is correctGiven dadt=2ms−3 on Integration a=2tms−2+c1⇒v=t2+c1t+c2There are also integrating constants henceReason given is correct but assertion is incorrect because rate of change of velocity is acceleration which is t2

Assertion :Starting from rest with zero acceleration if acceleration of particle increases at a constant rate of $2 m s^{- 3}$ then velocity should increase at constant rate of $1 m s^{- 2}$ . Reason: For the given condition $\frac{d a}{d t} = 2 m s^{- 3}$ therefore $a = 2 t$ .