RULEMATH | MATH ONLINE/DIRECT CLASS | MATH WEBSITE | SCIENCE CLASS 10, PHYSICS CLASS 11 AND 12

  CLASS 11  LAWS OF MOTION ASSIGNMENT 6 1. Define force.  State the various effects produced by force. 2. State Aristotle's law of motion. 3. State Galileo's law of inertia. 4. What is inertia? 5. Write the different types of inertia and give one example of each. 6. Define momentum.  Is it a scalar or vector quantity? 7. State Newton's laws of motion. 8. State and explain Newton's first law of motion. 9. Give a qualitative definition of force. 10.  Why is Newton's first law of motion also called as law of inertia? 11. Give one example from daily life that illustrates Newton's first law of motion based on (i) inertia of rest (ii) inertia of motion (iii) inertia of direction. 12. Explain how Newton's second law of motion gives a quantitative definition of force. 13. Define inertial mass of a body. 14. Is any external force required to keep a body in uniform motion? 15. Write the dimensions of force.  Is force a scalar or vector quantity? 16. Is it correct to ...

  CLASS 7 REVISION 2  LINES AND ANGLES AND SIMPLE EQUATIONS     2. Find the supplement of the following:      (i) 105°    (ii) 138°   (iii) 126°   3.   Find in the blanks:    x 2 7 9 15 19 30 x+12 23-x   4. Find the value of x in each of the following: (i) x + 2 = 10 (ii) x - 14 = 38 (iii) 2x + 4 = 20 (iv) (x/5) + 3 = 33 (v) 3x - 12  = 72 (vi) (4x/5) - 23 = 17 (vii) 4x - 9 = -19 (viii) 5x + 21 = -49 (ix) (2x/3) + 4/5 = 11/5 (x) (x/7) - 1/8 = 1/6 (xi) x/12 = 36/24 (xii) 6x = 72/15 5. Find the value of the unknown angle in the following triangles: ( All angles are in degrees)          36 48 x       2. 97 z 67       3. 45 65 y       4. 90 x 30       5. z 32 78       6. x 33 77       7. 25 y 105 6. Write equations for the following statements: (i) The sum of numbers x and 12 is...

  CLASS 11 ASSIGNMENT 5 UNITS AND MEASUREMENTS - SUMS 1. Convert an acceleration of 10m/s² in km/h². 2. The mass of a proton is 1.67 x 10 ⁻²⁷ kg.  How many protons would make 1 g? 3. The density of a material is 0.8 g cm⁻ﱣ³.  Express it in SI units. 4. What is the number of electrons that would weigh 1 kg?  Mass of an electron is 9.11 x 10⁻³¹  kg. 5. What is the order of magnitude of (i) 869000 (ii) 0.05? 6. What is the order of magnitude of seconds in a day? 7. Calculate the angle of 1 degree in radians. 8. If the units of force, energy and velocity are 20N, 200J and 5 ms⁻¹, find the units of length, mass and time. 9. Find the value of 100 J on a system which has 20 cm, 250 g and half minute as fundamental units of length, mass ad time. 10. Check whether the equation   E = mc² is correct by the method of dimensions. 11. The distance covered by a particle in time t is given by x = a + bt + ct² + dt³ .  Find the dimensions of a, b, c and d. 12. Consider...

  MOTION IN A STRAIGHT LINE CLASS 11 ASSIGNMENT 4 1. What is mechanics? 2. Define rest and motion.  Show that they are relative terms. 3. What are the various sub-branches of mechanics? 4. Is it true that a body is at rest in a frame within which it has been fixed? 5. Under what condition can an object in motion be considered a point object? 6. Give an example of a physical phenomenon in which earth cannot be regarded as a point mass. 7.  Define (i) one dimensional motion                   (ii) two dimensional motion                   (iii) three dimensional motion 8. Distinguish between distance and displacement. 9. Mention some important characteristics of displacement. 10. Under what condition will the distance and displacement of moving object have the same magnitude? 11. A particle is moving along a circular track of radius r.  What is the distance traversed by the particle...

 CLASS 8 REVISION 1 RATIONAL NUMBERS, LINEAR EQUATIONS IN ONE VARIABLE 1. Using appropriate properties, find      -2/5 x 4/7  +  1/7 x 3/2 -  2/3 x 4/7 2. Verify that - ( -x ) = x for       (i) x = 12/19     (ii) x = -5/9 3. Find the additive inverse of     (i) 12  (ii)  -15  (iii) 2/3   (iv)  7/-15   4. Find the multiplicative inverse of     (i) 1/5   (ii) -5   (iii)  -11/21   (iv) 8/-23 5. Multiply 1/2 by the reciprocal of -5/24.  What will be the value if the result is added to -17/5? 6.  Represent the following on the number line:    (i) 6/5   (ii)  -1/8  (iii) 2/9   (iv)  -4/11 7. Write 5 rational numbers which are greater than 6. 8. Find a rational number between 1/2 and 1/3. 9. Find 5 rational numbers between -2/5 and 5/8. 10. Solve 3x + 15 = 27. INTEGER RULES EXAMPLES...

  CLASS 11  MOTION IN A PLANE ASSIGNMENT 3 SUMS 1. Two forces of 5 N and 7 N act on a particle with an angle of 60° between them. Find the resultant force. 2. Two forces whose magnitudes are in the ratio of 3:5 give a resultant of 35 N.  If the angle of inclination be 60°, calculate the magnitude of each force. 3. Two equal forces have their resultant equal to either.  What is the inclination between them? 4. A body is simultaneously given two velocities one 30 m/s due east and the other 40 m/s due north.  Find the resultant velocity. 5. Find the unit vector parallel to the resultant of the vectors   A = i + 4j - 2k  and B = 3i - 5j + k. (use → for A, B and ˄ for unit vectors i, j, k). 6. Find the vector AB and its magnitude if it has initial point A(2,3,-1) and final point B(2,1,4). (use → for A, B and ˄ for unit vectors i, j, k). 7. One of the rectangular components of  a velocity of 80 km/h is 40 km/h.  Find the other component. 8. Fi...

  PHYSICS MAGNETIC EFFECT OF CURRENT CLASS 12 ASSIGNMENT 4 1. Explain the concept of magnetic field.  2. Describe Oersted's experiment leading the to the discovery of magnetic effect of current.  3. State Ampere's swimming rule.  4. State Biot-Savart law. 5. Explain Biot-Savart law for the magnetic field produced by a current element. Derive its vector form. How will you find the direction of the magnetic field? 6. Write any two points of similarities between Coulomb's law for the electrostatic field and Biot-Savart's law for the magnetic field. 7. Write any two points of differences between Coulomb's law for the electrostatic field and Biot=Savart's law for the magnetic field. 8. What is the SI unit of magnetic field? 9. Write a relation between μ₀ , 𝜺₀ and c. 10. Apply Biot-Savart law to derive an expression for the magnetic field produced at a point due to the current flowing through a straight wire of infinite length.   11. State the rules for finding ...