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Class 12th Maths NCERT Exemplar Solutions Class 12th Chapter Three

If $A$ and $B$ are two matrices of the same order, then $A - B = B - A$

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Payal Gupta

Contributor-Level 10

This is a True or False Type Questions as classified in NCERT Exemplar

$\begin{array}{l} F a l s e . \\ Since s u b t r a c t i o n s o f a n y t w o m a t r i c e s o f t h e s a m e o r d e r i s n o t c o m m u t a t i v e i . e ., A - B \neq B - A \end{array}$

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Class 12th Maths NCERT Exemplar Solutions Class 12th Chapter Three

If $A$ and $B$ are two square matrices of the same order, then $A + B = B + A$ .

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Payal Gupta

Contributor-Level 10

This is a True or False Type Questions as classified in NCERT Exemplar

$\begin{array}{l} T r u e . \\ I f A a n d B a r e s q u a r e m a t r i c e s o f t h e n t h e i r a d d i t i o n i s c o m m u t a t i v e i . e ., A + B = B + A \end{array}$

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Class 12th Physics NCERT Exemplar Solutions Class 12th Chapter Seven

Two light beams of intensities 4I and 9I interfere on a screen. The phase difference between these beams on the screen at point A is zero and at point B is . The difference of resultant intensities, at the point A and B, will be_________I.

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Vishal Baghel

Contributor-Level 10

$I_{A} = 9 l + 4 l + 2 \sqrt[]{9 l * 4 l} c o s 0 °$

$= 13 l + 12 l = 25 l$

$I_{B} = 9 l + 4 l + 2 \sqrt[]{9 l * 4 l} c o s π$

$= 13 l - 12 l = l$

$∴ I_{A} - I_{B} = 24 l$

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Class 12th Physics NCERT Exemplar Solutions Class 12th Chapter Nine

A closely wounded circular coil of radius 5cm produces a magnetic field of 37.68 * 104 T at its centre. The current through the coil is_ A. [Given, number of turns in the coil is 100 and = 3.14]

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Vishal Baghel

Contributor-Level 10

$B_{c e n t r e} = N \frac{μ_{0} i}{2 r}$

$\Rightarrow \frac{100 * 4 π * 1 0^{- 7} * i}{2 * 5 * 1 0^{- 2}} = 37.68 * 1 0^{- 4}$

$∴ i = \frac{37.68}{4 * 3.14} = 3 A$

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Class 12th Physics NCERT Exemplar Solutions Class 12th Chapter Fifteen

The current I flowing through the given circuit will be_________A.

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Vishal Baghel

Contributor-Level 10

$i = \frac{v}{R_{N e t}} = \frac{6}{3} = 2 A$

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Class 12th Maths NCERT Exemplar Solutions Class 12th Chapter Three

Two matrices are equal if they have the same number of rows and the same number of columns.

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Payal Gupta

Contributor-Level 10

This is a True or False Type Questions as classified in NCERT Exemplar

$\begin{array}{l} F a l s e . \\ T h e t w o m a t r i c e s a r e s a i d t o b e e q u a l i f t h e i r c o r r e s p o n d i n g e l e m e n t s a r e s a m e . \end{array}$

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Class 12th Physics NCERT Exemplar Solutions Class 12th Chapter Ten

One mole of a monoatomic gas is mixed with three moles of a diatomic gas. The molecular specific heat of mixture of constant volume is $\frac{α^{2}}{4} R J / m o l K;$ then the value of will be________.

(Assume that the given diatomic gas has no vibrational mode.)

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Vishal Baghel

Contributor-Level 10

$C_{v} = \frac{α^{2} R}{4} J / m o l^{- k}$

As, Cv (mix) = $\frac{1 * \frac{3}{2} R + 3 * \frac{5}{2} R}{4} = \frac{9 R}{4} = \frac{α^{2} R}{4}$

$∴ α = 3$

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Class 12th Physics NCERT Exemplar Solutions Class 12th Chapter Nine

The pressure P1 and density d1 of diatomic gas $(γ = \frac{7}{5})$ changes suddenly to P2(>P1) and d2 respectively during an adiabatic process. The temperature of the gas increases and becomes ________times of its initial temperature. (given $\frac{d_{2}}{d_{1}} = 32)$

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Vishal Baghel

Contributor-Level 10

For adiabatic process – PVY = const

$T_{1} {V_{1}}^{Y - 1} = T_{2} V_{2}^{Y - 1}$

$\frac{T_{2}}{T_{1}} = {(\frac{v_{1}}{v_{2}})}^{Y - 1} = {(\frac{d_{2}}{d_{1}})}^{Y - 1} = {(32)}^{(\frac{7}{5} - 1)} = {(32)}^{2 / 5}$

$= {(2)}^{2} = 4$

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a year ago

Class 12th Maths NCERT Exemplar Solutions Class 12th Chapter Three

A square matrix where every element is unity is called an identity matrix.

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Payal Gupta

Contributor-Level 10

This is a True or False Type Questions as classified in NCERT Exemplar

$\begin{array}{l} F a l s e . \\ Since, i n a n i d e n t i t y m a t r i x a l l t h e e l e m e n t s o f p r i n c i p a l d i a g o n a l a r e u n i t y r e s t a r e z e r o . \\ e . g ., A = [\begin{matrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{matrix}] = I_{3} \end{array}$

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a year ago

Class 12th Physics NCERT Exemplar Solutions Class 12th Chapter Nine

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