If ‘v’ and ‘ω’ are linear and angular velocities, the centripetal acceleration of a moving body along the circular path of radius ‘r’, will be

Assertion: When a body moves along a circular path, no work is done by the centripetal force. Reason: The centripetal force is used on moving the body along the circular path and hence no work is done.

A

Both assertion and reason are true and reason is the correct explanation of the assertion

B

Both assertion and reason are true but the reason is not the correct explanation of assertion

C

Assertion is true but reason is false

D

Both assertion and reason are false

If v and $$\omega $$ are linear and angular velocities, the centripetal acceleration of a moving body along the circular path of radius r, will be

A

$$\frac{{\text{r}}}{{{{\text{v}}^2}}}$$

B

$$\frac{{{{\text{v}}^2}}}{{\text{r}}}$$

C

$$\frac{{\text{r}}}{{{\omega ^2}}}$$

D

$$\frac{{{\omega ^2}}}{{\text{r}}}$$

E

$${\text{r}}\omega $$

The linear acceleration (a) of a body rotating along a circular path of radius (r) with an angular acceleration of $$\alpha $$ rad/s², is

A

$${\text{a}} = \frac{\alpha }{{\text{r}}}$$

B

$${\text{a}} = \alpha {\text{r}}$$

C

$${\text{a}} = \frac{{\text{r}}}{\alpha }$$

D

None of these

A sample of an ideal gas is taken through the cyclic process abca as shown in the figure. The change in the internal energy of the gas along the path ca is -180 J. The gas absorbs 250 J of heat along the path ab and 60 J along the path bc. The work done by the gas along the path abc is:

A

120 J

B

130 J

C

100 J

D

140 J

Which of the following statements are comes for Network Critical Path? 1. The path of critical activities, which links the start and end events is critical path 2. It is the path of activities having zero float 3. It is the path of events having zero slack 4. The sum of the duration of the critical activities along a critical path gives the duration of the Project

A

1, 2, 3 and 4

B

1, 2 and 3 only

C

1 and 4 only

D

2, 3 and 4 only

The acceleration of a particle at any instant moving along a circular path in a direction normal to the tangent at that instant and directed towards the centre of the circular path, is known as

A

tangential component

B

normal component

C

parallel component

D

none of the mentioned

Statement (I): The term ‘encoder’ is used for a device that provides an analog output as a result of angular or linear displacement. Statement (II): An increment encoder detects changes in angular or linear displacement from some datum position where as an absolute encoder gives the actual angular or linear position.

A

Both Statement (I) and Statement (II) are individually true and Statement (II) is the correct explanation of Statement (I)

B

Both Statement (I) and Statement (II) are individually true but Statement (II) is not the correct explanation of Statement (I)

C

Statement (I) is true but Statement (II) is false

D

Statement (I) is false but Statement (II) is true

A body of mass 10 kg, is moving with a velocity of 5 m/s in a circle of radius 5 m, what is the centripetal acceleration of the body?

A

5m/s2

B

25m/s2

C

0.5 m/s2

D

50 m/s2

Outer radius of a circular path is 35 cm. Inner radius of the same path is 21 cm. What is the area of this circular path ?

A

2085 cm²

B

2464 cm²

C

3246 cm²

D

2535 cm²

A body of mass 'm' is moving uniformly along a circle having radius 'r'. The centripetal force on the body is:

A

$\dfrac{mv^2}{r}$

B

$\dfrac{mv^2}{r^2}$

C

$\dfrac{mv}{r^2}$

D

$\dfrac{mv}{r}$

If ‘v’ and ‘ω’ are linear and angular velocities, the centripetal acceleration of a moving body along the circular path of radius ‘r’, will be

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