Home
Class 12
PHYSICS
Assertion:- Formation of a law of physic...

Assertion:- Formation of a law of physics in terms of vectors is independent of the choice of coordinate axes.
Reason:- Vector notation often a language in which statement have a physcal constant without ever introducing a coordinate system.

A

If both Assertion `&` Reason are True `&` the Reason is a correct explanation of the Assertion.

B

If both Assertion `&` Reason are True but Reason is not a correct explanation of the Assertion.

C

If Assertion is True but the Reason is False.

D

If both Assertion `&` Reason are False.

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    ALLEN|Exercise PAPER 2|60 Videos

  • TEST PAPERS

    ALLEN|Exercise PAPER 3|100 Videos

  • TEST PAPER 4

    ALLEN|Exercise PHYSICS|45 Videos

  • UNIT & DIMENSIONS, BASIC MATHS AND VECTOR

    ALLEN|Exercise Exercise (J-A)|7 Videos

Similar Questions

Explore conceptually related problems

Statement-1 : The centre of mass of a system of n particles is the weighted average of the position vector of the n particles making up the system . Statement-2 : The position of the centre of mass of a system is independent of coordinate system

Consider a point object of mass 'm' moving in a circle of radius a=1m. For any instantaneous position of the object, theta is the angle that the radial line joining the object and the centre makes with the position X-axis of a cartesian coordinate system with the centre of circle O as the origin. hati and hatj are unit vectors along X- axis and Y-axis, respectively . Suppose that the motion is a 'Unifrom Circular Motion ' with a constant angular speed (pi)/(36) rad//sec and that the sense of rotation is counterclockwise with theta = 0 at t = 0 . For an object which moves in a circle , it is usually convenient to introduce two mutually perpendicular unit vectors hatr_(r) and hatr_(t) , as shown in the fig 3.57. Here hatr_(r) is the radial unit vector and hatr_(t) , the tangential unit vector. Answer the following questions : For any position of the objected P, the tangential unit vector can be expressed as :

Consider a point object of mass 'm' moving in a circle of radius a=1m. For any instantaneous position of the object, theta is the angle that the radial line joining the object and the centre makes with the position X-axis of a cartesian coordinate system with the centre of circle O as the origin. hati and hatj are unit vectors along X- axis and Y-axis, respectively . Suppose that the motion is a 'Unifrom Circular Motion ' with a constant angular speed (pi)/(36) rad//sec and that the sense of rotation is counterclockwise with theta = 0 at t = 0 . For an object which moves in a circle , it is usually convenient to introduce two mutually perpendicular unit vectors hatr_(r) and hatr_(t) , as shown in the fig 3.57. Here hatr_(r) is the radial unit vector and hatr_(t) , the tangential unit vector. Answer the following questions : In trems of hatr_(r), hatr_(t) and theta, hati can be expressed as :

The rate of a reaction, which may also be called its velocity or speed, can be defined with relation to the concentration of any of the reacting substances, or to that of any product of the reaction. If the species chosen is a reactant which has a concentration c at time t the rate is - dc/dt, while the rate with reference to a product having a concentration x at time t is dx/dt. Any concentration units may be used for expressing the rate, thus, if moles per liter are employed for concentration and seconds for the time, the units for the rate are moles "liter"^(-1) sec^(-1) . For gas reactions pressure units are sometimes used in place of concentrations, so that legitimate units for the rate would be (mm. Hg) sec^(-1) and atm. sec^(-1) The order of a reaction concerns the dependence of the rate upon the concentrations of reacting substances, thus, if the rate is found experimentally to be proportional to the alpha^(th) power of the concentration of one of the reactants A, to the beta^(th) power of the concentration of a second reactant B, and so forth, via., rate kC_(A)^(alpha) C_(B)^(beta)" " (1) the over-all order of the reaction is simply n = alpha +beta + ---------(2) Such a reaction is said to be of the alpha^(th) order with respect to the substance A, the beta^(th) order with respect to B and so on... (Laidler, K. J., & Glasstone, S. (1948). Rate, order and molecularity in chemical kinetics. Journal of Chemical Education, 25(7), 383.) In the following questions, a statement of assertion followed by a statement of reason is given. Choose the correct answer out of the following choices on the basis of the above passage. Assertion: The unit of k is independent of order of reaction. Reason: The unit of k is moles L^(-1)s^(-1) .

Read the passage given below and answer the question: Biopolymers are polymers that are generated from renewable natural sources, are often biodegradable and nontoxic. They can be produced by biological systems (i.e. microorganisms, plants and animals), or chemically synthesized from biological materials (e.g., sugars, starch, natural fats or oils, etc.). Two strategies are applied in converting these raw materials into biodegradable polymers: extraction of the native polymer from a plant or animal tissue, and a chemical or biotechnological route of monomer polymerization. Biodegradable biopolymers (BDP) are an alternative to petroleum-based polymers (traditional plastics). Some BDP degrade in only a few weeks, while the degradation of others takes several months. In principle the properties relevant for application as well as biodegradability are determined by the molecular structure. According to the American Society for Testing and Materials, biopolymers are degradable polymers in which degradation results from the action of naturally occurring microorganisms such as bacteria, fungi and algae. Polylactic acid (PLA) is an example of biopolymer. It is a thermoplastic polyester. Generally, there are two major routes to produce polylactic acid from the lactic acid (CH_(3)CH(OH) COOH) monomer. The first route involves condensation-water removal by the use of solvent under high vacuum and temperature. This approach produces a low to intermediate molar mass polymer. An alternative method is to remove water under milder conditions, without solvent, to produce a cyclic intermediate dimer, referred to as lactide. This intermediate is readily purified by vacuum distillation. Ring opening polymerization of the dimer is accomplished under heat, again without the need for solvent. By controlling the purity of the dimer it is possible to produce a wide range of molar masses .PLA is a good material for production of clothing, carpet tiles, interior and outdoor furnishing, geotextiles, bags, filtration systems, etc. The primary biodegradability of PLA was tested using hydrolysis tests at various composting temperatures and pH. It was demonstrated that composting is a useful method for PLA biodegradation. The degradation rate is very slow in ambient temperatures. A 2017 study found that at 25^(@)C in sea water, PLA showed no degradation over a year. As a result, it is poorly degraded in landfills and household composts, but is effectively digested in hotter industrial composts. (source: Flieger, M., Kantorová, M., Prell, A., Rezanka, T., & Votruba, J. (2003). Biodegradable plastics from renewable sources. Folia Microbiologica, 48(1), 27 44. doi:10.1007/bf02931273) In the question, a statement of assertion followed by a statement of reason is given. Choose the correct answer out of the following choices on the basis of the above passage. Assertion: Lactic acid on polymerisation forms Reason: PLA is used in producing geotextiles.

Solar Panels have to be installed carefully so that the tilt of the roof, and the direction to the sun, produce the largest possible electrical power in the solar panels. A surveyor uses his instrument to determine the coordinates of the four corners of a roof where solar panels are to be mounted. In the picture , suppose the points are labelled counter clockwise from the roof corner nearest to the camera in units of meters P_(1) (6,8,4) , P_(2) (21,8,4), P_(3) (21,16,10) and P_(4)(6,16,10) Write the vector in standard notation with hati,hatj and hatk (where hati, hatj and hatk are the unit vectors along the three axes).

ALLEN-TEST PAPERS-MATHS
  1. Assertion:- Formation of a law of physics in terms of vectors is indep...

    Text Solution

    |

  2. If complex number z(zne2) satisfies the equation z^(2)=4z+|z|^(2)+(16)...

    Text Solution

    |

  3. Let omegabe a complex number which satisfies iomega=(u^(2)-1)/(u^(2)+...

    Text Solution

    |

  4. If the function f(x)={{:((1+cospix)/(pi^(2)(x+1)^(2)),",",xlt-1),(ax...

    Text Solution

    |

  5. The value of the following limit lim(ntooo) n(n+1)(ln(1+(1)/(n))-sin((...

    Text Solution

    |

  6. number of solutions for x between 3 and 15 if int(0)^(x)[t]dt=int(0)^(...

    Text Solution

    |

  7. If the length of perpendicular from (0,0,0) to the plane ax+by+cz+d=0 ...

    Text Solution

    |

  8. A transversal cuts side AB and AD and diagonal AC of parallelogram ABC...

    Text Solution

    |

  9. Consider curve y=(1+x)^(y)+sin^(-1)(sin^(2)x). Which of the following ...

    Text Solution

    |

  10. The x-intercept of the tangent to a curve is equal to the ordinate of ...

    Text Solution

    |

  11. Suppose y=f(x)andy=g(x) are two functions whose graph intersect at th...

    Text Solution

    |

  12. A function y=f(x) satisfies f"(x)=-(1)/(x^(2))-pisin(pix),f(2)=pi+(1)...

    Text Solution

    |

  13. Let(1+X^(2))^(2)(1+X)^(n)=sum(k=0)^(n+4)a(k)X^(k).ifa(1),a(2),a(3) ar...

    Text Solution

    |

  14. If f(x) is double differentiable function such that |f"(x)|le5 for ea...

    Text Solution

    |

  15. overline(x)andoverline(y) be two variable vectors satisfying simultan...

    Text Solution

    |

  16. The curve defined by sqrt((x)/(a))+sqrt((y)/(b))=1 gives a part of pa...

    Text Solution

    |

  17. The curve defined by sqrt((x)/(a))+sqrt((y)/(b))=1 gives a part of pa...

    Text Solution

    |

  18. In a problem of differentiation of (f(x))/(g(x)), one student writes ...

    Text Solution

    |

  19. In a problem of differentiation of (f(x))/(g(x)), one student writes ...

    Text Solution

    |