मराठी
कर्नाटक बोर्ड पी.यू.सी.पीयूसी विज्ञान इयत्ता ११

Let → C = → a + → B - Physics

Advertisements
Advertisements

प्रश्न

Let \[\vec{C} = \vec{A} + \vec{B}\]

पर्याय

  • \[\left| \vec{C} \right|\] is always greater than \[\left| \vec{A} \right|\]

  • It is possible to have \[\left| \vec{C} \right|\]  < \[\left| \vec{A} \right|\] and \[\left| \vec{C} \right|\] < \[\left| \vec{B} \right|\]

  • C is always equal to A + B

  • C is never equal to A + B.

MCQ
Advertisements

उत्तर

It is possible to have \[\left| \vec{C} \right|\]  < \[\left| \vec{A} \right|\] and \[\left| \vec{C} \right|\] < \[\left| \vec{B} \right|\]

Statements (a), (c) and (d) are incorrect.
Given: \[\vec{C} = \vec{A} + \vec{B}\]

Here, the magnitude of the resultant vector may or may not be equal to or less than the magnitudes of \[\vec{A}\] and \[\vec{B}\] or the sum of the magnitudes of both the vectors if the two vectors are in opposite directions.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2: Physics and Mathematics - MCQ [पृष्ठ २८]

APPEARS IN

एचसी वर्मा Concepts of Physics Vol. 1 [English] Class 11 and 12
पाठ 2 Physics and Mathematics
MCQ | Q 2 | पृष्ठ २८

संबंधित प्रश्‍न

Suggest a way to measure the thickness of a sheet of paper.


Suppose a quantity x can be dimensionally represented in terms of M, L and T, that is, `[ x ] = M^a L^b T^c`.  The quantity mass


A dimensionless quantity


\[\int\frac{dx}{\sqrt{2ax - x^2}} = a^n \sin^{- 1} \left[ \frac{x}{a} - 1 \right]\] 
The value of n is


Choose the correct statements(s):


Find the dimensions of linear momentum . 


Find the dimensions of the specific heat capacity c.
(a) the specific heat capacity c,
(b) the coefficient of linear expansion α and
(c) the gas constant R.
Some of the equations involving these quantities are \[Q = mc\left( T_2 - T_1 \right), l_t = l_0 \left[ 1 + \alpha\left( T_2 - T_1 \right) \right]\] and PV = nRT.


Test if the following equation is dimensionally correct:
\[V = \frac{\pi P r^4 t}{8 \eta l}\]

where v = frequency, P = pressure, η = coefficient of viscosity.


Is a vector necessarily changed if it is rotated through an angle?


Is it possible to add two vectors of unequal magnitudes and get zero? Is it possible to add three vectors of equal magnitudes and get zero?


Let ε1 and ε2 be the angles made by  \[\vec{A}\] and -\[\vec{A}\] with the positive X-axis. Show that tan ε1 = tan ε2. Thus, giving tan ε does not uniquely determine the direction of \[\vec{A}\].

  

The resultant of  \[\vec{A} \text { and } \vec{B}\] makes an angle α with  \[\vec{A}\] and β with \[\vec{B}\],


The magnitude of the vector product of two vectors \[\left| \vec{A} \right|\] and \[\left| \vec{B} \right|\] may be

(a) greater than AB
(b) equal to AB
(c) less than AB
(d) equal to zero.


A vector \[\vec{A}\] makes an angle of 20° and \[\vec{B}\] makes an angle of 110° with the X-axis. The magnitudes of these vectors are 3 m and 4 m respectively. Find the resultant.


Two vectors have magnitudes 2 unit and 4 unit respectively. What should be the angle between them if the magnitude of the resultant is (a) 1 unit, (b) 5 unit and (c) 7 unit.


Give an example for which \[\vec{A} \cdot \vec{B} = \vec{C} \cdot \vec{B} \text{ but } \vec{A} \neq \vec{C}\].


A curve is represented by y = sin x. If x is changed from \[\frac{\pi}{3}\text{ to }\frac{\pi}{3} + \frac{\pi}{100}\] , find approximately the change in y. 


The electric current in a charging R−C circuit is given by i = i0 e−t/RC where i0, R and C are constant parameters of the circuit and t is time. Find the rate of change of current at (a) t = 0, (b) t = RC, (c) t = 10 RC.


In a submarine equipped with sonar, the time delay between the generation of a pulse and its echo after reflection from an enemy submarine is observed to be 80 s. If the speed of sound in water is 1460 ms-1. What is the distance of an enemy submarine? 


If π = 3.14, then the value of π2 is ______


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×