Assertion :A man carrying a bucket of water and walking on a rough level road with a uniform velocity does no work while carrying the bucket. Reason: The work is done on a body by a force (F) in giving it a displacement S is defined as $W = F . S = F S c o s θ$ where $θ$ is the angle between vectors F and S.

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

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

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!

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 A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
In the assertion, we can see that the man is applying force in vertically upward direction in carrying the bucket but his displacement is in horizontal direction. This makes the angle between force and displacement $90^{o}$ which makes the $cos θ = 0$
Thus the work done will be 0.
Also, frictional force will not do any work as the man has a uniform velocity.
Hence, the assertion is correct
The Reason is the mathematical explanation of the work done and it is also true.

Hence, correct answer is option $A$

Suggest Corrections

Similar questions

Q. Assertion : A body is moved from

x = 2

x = 1

, under a force

F = 4 x

, the work done by the force is negative.
Reason: Force and displacement are in opposite directions.

Q. Assertion : Photosensitivity of a metal is high if its work function is small.

Reason : Work function $h f_{0}$ where $f_{0}$ is the threshold frequency.

Q. Assertion
If BOD level of water in reservoir is less than 5 ppm it is not polluted.

Reason
High biological oxygen demand means low activity of bacteria in water.

Assertion (A) Bond angle in ethers is slightly less than the tetrahedral angle.
Reason (R) There is a repulsion between the two bulky (- R) groups.
(a) Assertion and reason both are correct and reason is correct explanation of assertion.
(b) Assertion and reason both are wrong statements.
(c) Assertion is correct statement but reason is wrong statement.
(d) Assertion is wrong statement but reason is correct statement.
(e) Both assertion and reason are correct statements but reason is not correct explanation of assertion.

ASSERTION: n-Pentane and n-Hexane belong to a homologous series.

REASON: n-Pentane and n-Hexane belong to the same class of hydrocarbons and they differ by a - $C H_{2}$ - group.

Join BYJU'S Learning Program

Assertion :A man carrying a bucket of water and walking on a rough level road with a uniform velocity does no work while carrying the bucket. Reason: The work is done on a body by a force (F) in giving it a displacement S is defined as W=F.S=FScosθ where θ is the angle between vectors F and S.