If W 1 , W 2 and W 3 represent the work done in moving a particle from A to B along three different paths 1, 2 and 3 respectively (as shown) in the gravitational field of a point mass m , find the correct relation between W 1 , W 2 and W 3 .

Question

If $W_{1}$ , $W_{2}$ and $W_{3}$ represent the work done in moving a particle from $A$ to $B$ along three different paths 1, 2 and 3 respectively (as shown) in the gravitational field of a point mass $m$ , find the correct relation between $W_{1}$ , $W_{2}$ and $W_{3}$ . [2003]

Smart Achievers · Accepted Answer

(2)

In a conservative field work done does not depend on the path i.e., path independent. The gravitational field is a conservative field.

$∴$ $W_{1} = W_{2} = W_{3}$

Solution

Q.
If $W_{1}$ , $W_{2}$ and $W_{3}$ represent the work done in moving a particle from $A$ to $B$ along three different paths 1, 2 and 3 respectively (as shown) in the gravitational field of a point mass $m$ , find the correct relation between $W_{1}$ , $W_{2}$ and $W_{3}$ . [2003]

1 $W_{1} > W_{2} > W_{3}$

2 $W_{1} = W_{2} = W_{3}$

3 $W_{1} < W_{2} < W_{3}$

4 $W_{2} > W_{1} > W_{3}$

Ans.
(2)

In a conservative field work done does not depend on the path i.e., path independent. The gravitational field is a conservative field.

$∴$ $W_{1} = W_{2} = W_{3}$

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Solution

Q. If W1, W2 and W3 represent the work done in moving a particle from A to B along three different paths 1, 2 and 3 respectively (as shown) in the gravitational field of a point mass m, find the correct relation between W1, W2 and W3. [2003]

1 W1>W2>W3

2 W1=W2=W3

3 W1<W2<W3

4 W2>W1>W3

Ans. (2) In a conservative field work done does not depend on the path i.e., path independent. The gravitational field is a conservative field. ∴ W1=W2=W3