The force which acts along the radius of a circle and directed ____________ the centre of the circle is known as centripetal force.

Which two classes use the Shape class correctly?

A. public class Circle implements Shape { private int radius; }B. public abstract class Circle extends Shape { private int radius; }C. public class Circle extends Shape { private int radius; public void draw(); }D. public abstract class Circle implements Shape { private int radius; public void draw(); }E. public class Circle extends Shape { private int radius; public void draw() { /* code here */ } }F. public abstract class Circle implements Shape { private int radius; public void draw() { /* code here */ } }

A

B,E

B

A,C

C

C,E

D

T,H

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

Given are the steps to draw a perpendicular to a line at a point within the line when the point is near the centre of line. Arrange the steps. Let AB be the line and P be the point in it i. Join F and P which is perpendicular to AB. ii. Now C as centre take the same radius and cut the arc at D and again D as centre with same radius cut the arc further at E. iii. With centre as P take any radius and draw an arc (more than a semicircle) cuts AB at C. iv. Now D, E as centre take radius (more than half of DE) draw arcs which cut at F.

A

i, iv, ii, iii

B

iii, ii, iv, i

C

iv, iii, i, ii

D

ii, i, iv, iii

Steps are given to find the normal and tangent to an epicycloid. Arrange the steps if C is the centre for generating circle and O is the centre of directing cycle. N is the point on epicycloid. i. Draw a line through O and D cutting directing circle at M. ii. Draw perpendicular to MN at N. We get tangent. iii. With centre N and radius equal to radius of generating circle, draw an arc cutting the locus of C at D. iv. Draw a line joining M and N which is normal.

A

iii, i, iv, ii

B

ii, i, iv, iii

C

iv, ii, i, iii

D

i, iv, iii, ii

Read Assertion (A) and Reason (R) and select the answer:
Assertion (A): Acts of state are directed against another sovereign state or its sovereign personally or its subjects.
Reason (R): Acts of executive Government in the name of President in normal course of administration are acts of state and are not open to judicial scrutiny.

A

Both A and R are correct and R is correct reason of A

B

Both A and R are correct, but R is not correct reason of A

C

A is right, but R is wrong

D

R is right, but A is wrong

Steps are given to find the normal and tangent for a cycloid. Arrange the steps if C is the centre for generating circle and PA is the directing line. N is the point on cycloid. i. Through M, draw a line MO perpendicular to the directing line PA and cutting at O. ii. With centre N and radius equal to radius of generating circle, draw an arc cutting locus of C at M. iii. Draw a perpendicular to ON at N which is tangent. iv. Draw a line joining O and N which is normal.

A

iii, i, iv, ii

B

ii, i, iv, iii

C

iv, ii, i, iii

D

i, iv, iii, ii

A wooden block of mass m1 kg accelerates at m/s when a force of 5 N acts on it. Another block of mass m2 kg accelerates at 20 m/s when the same force acts on it. If both the blocks are tied together and the same force acts on their combination, the acceleration will be about

A

6.67\m\/s2

B

1.67\m\/s2

C

5.67\m\/s2

D

4.67\m\/s2

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

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

A rigid body is rotating about an axis. One force F1 acts on the body such that its vector passes through the axis of rotation. Another force F2 acts on it such that it is perpendicular to the axis of rotation and at a point 5cm from the axis. This force F2 is perpendicular to the radius vector at its point of application. Find the net torque on the body. Let F1 = 10N & F2= 5N.

A

0

B

10.25Nm

C

0.25Nm

D

10Nm

Choose the correct statement

public class Circle{ private double radius; public Circle(double radius){ radius = radius; }}

A

The program has a compilation error because it does not have a main method.

B

The program will compile, but we cannot create an object of Circle with a specified radius. The object will always have radius 0.

C

The program has a compilation error because we cannot assign radius to radius.

D

The program does not compile because Circle does not have a default constructor.

The force which acts along the radius of a circle and directed ____________ the centre of the circle is known as centripetal force.

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