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Physics NCERT Exemplar Solutions Class 12th Chapter Nine

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2 months ago

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

The time period of oscillation of a simple pendulum of length L suspended from the roof of a vehicle, which moves without friction down an inclined plane of inclination , is given by:

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Vishal Baghel

Contributor-Level 10

goff = g cos

$∴ T = 2 π \sqrt[]{\frac{L}{g c o s α}}$

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

If the length of a wire is made double and radius is halved of its respective values. Then, the Young’s modulus of the material of wire will :

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Physics NCERT Exemplar Solutions Class 12th Chapter Nine Mechanical Properties of Solids

Given below are two statements : One is labeled as Assertion (A) and the other is labeled as Reason (R).

Assertion (A) : Clothes containing oil grease statins cannot be cleaned by water wash.

Reason (R) : Because the angle of contact between the oil/grease and water is obtuse.

In the light of the above statements, choose the correct answer from the option given below.

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Vishal Baghel

Contributor-Level 10

Water molecule doesnâ€™t stick with oil/ grease drops due to obtuse angle of contact between then.

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

Two bodies of mass 1kg and 3kg have position vectors $\hat{i} + 2 \hat{j} + \hat{k} a n d - 3 \hat{i} - 2 \hat{j} + \hat{k}$ respectively. The magnitude of position vector of centre of mass of this system will be similar to the magnitude of vector:

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Vishal Baghel

Contributor-Level 10

$m_{1} = 1 k g, {\vec{r}}_{1} = \hat{i} + 2 \hat{j} + \hat{k}$

$m_{1} = 3 k g, {\vec{r}}_{2} = - 3 \hat{i} - 2 \hat{j} + \hat{k}$

${\vec{r}}_{c o m} = \frac{m_{1} {\vec{r}}_{1} + m_{2} {\vec{r}}_{2}}{m_{1} + m_{2}} = \frac{1}{4} (\hat{i} + 2 \hat{j} + \hat{k} + - 9 \hat{i} - 6 \hat{j} + 3 \hat{k})$

= $2 \hat{i} - \hat{j} + \hat{k}$

$| {\vec{r}}_{c o m} | = \sqrt[]{4 + 1 + 1} = \sqrt[]{6 .}$

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Physics NCERT Exemplar Solutions Class 12th Chapter Nine Motion in a Plane

A ball is projected with kinetic energy E, at an angle of 60° to the horizontal. The kinetic energy of this ball at the highest point of its flight will become:

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Vishal Baghel

Contributor-Level 10

$E = \frac{1}{2} m u^{2}$

$E_{H i g h e s t p o i n t} = \frac{1}{2} m {(\frac{u}{2})}^{2} = \frac{1}{8} m u^{2} = \frac{E}{4}$

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

A smooth circular groove has a smooth vertical wall as shown in figure. A block of mass m moves against the wall with a speed v. Which of the following curve represents the correct relation between the normal reaction on the block by the wall (N) and speed of the block (v)?

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Vishal Baghel

Contributor-Level 10

$N = \frac{m v^{2}}{R}$

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

If t = $\sqrt[]{x} + 4, t h e n {(\frac{d x}{d t})}_{t = 4} i s :$

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Vishal Baghel

Contributor-Level 10

$t = \sqrt[]{x} + 4$

then $\frac{d t}{d x} = \frac{1}{2 \sqrt[]{x}} ∴ {(\frac{d x}{d t})}_{t = 4} = {(2 \sqrt[]{x})}_{t = 4} = {[2 (t - 4)]}_{a t t = 4}$

= 0

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

A ball is thrown up vertically with a certain velocity so that, it reaches a maximum height h. Find the ratio of the times in which it is at height $\frac{h}{3}$ while going up and coming down respectively.

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Vishal Baghel

Contributor-Level 10

$h = \frac{u^{2}}{2 g} \Rightarrow u = \sqrt[]{2 g h}$

$\frac{h}{3} = \sqrt[]{2 g h} t - 5 t^{2}$

$5 t^{2} - \sqrt[]{20 h} t + \frac{h}{3} = 0$

$t = \frac{\sqrt[]{20 h} \pm \sqrt[]{20 h - 4 * 5 * \frac{h}{3}}}{10}$

$∴ \frac{t_{1}}{t_{2}} = \frac{\sqrt[]{20 h} - \sqrt[]{\frac{40}{3} h}}{\sqrt[]{20 h} + \sqrt[]{\frac{40}{3} h}} = \frac{1 - \sqrt[]{\frac{2}{3}}}{1 + \sqrt[]{\frac{2}{3}}} = \frac{\sqrt[]{3} - \sqrt[]{2}}{\sqrt[]{3} + \sqrt[]{2}}$

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Physics NCERT Exemplar Solutions Class 12th Chapter Nine physics ncert exemplar solutions class 12th chapter two

Given below are two statements: One is labeled as Assertion (A) and other is labeler as Reason (R).

Assertion (A) : Time period of oscillation of a liquid drop depends on surface tension (S), if density of the liquid is $ρ$ and radius of the drop is r, then

$T = K \sqrt[]{\frac{ρ r^{3}}{S^{\frac{3}{2}}}}$ is dimensionally correct, where K is dimensionless.

Reason (R) : Using dimensional analysis we get R.H.S. having different dimension than that of time period.

In the light of above statements, choose the correct answer from the options given below.

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Vishal Baghel

Contributor-Level 10

$T = k \sqrt[]{\frac{ρ r^{3}}{S^{3 / 2}}}$

$[T]$ ${[M L^{- 3}]}^{1 / 2} {[L^{3}]}^{1 / 2} {[M L T^{- 2} L^{- 1}]}^{\frac{- 3}{4}}$

$[T]$ $= [M^{1 / 2} L^{- \frac{3}{2}} L^{\frac{3}{2}} M^{- \frac{3}{4}} T^{\frac{3}{2}}]$

$= [M^{\frac{1}{4}} T^{3 / 2}]$

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

If t = $\sqrt[]{x} + 4, t h e n {(\frac{d x}{d t})}_{t = 4} i s :$

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Vishal Baghel

Contributor-Level 10

$t = \sqrt[]{x} + 4$

then $\frac{d t}{d x} = \frac{1}{2 \sqrt[]{x}} ∴ {(\frac{d x}{d t})}_{t = 4} = {(2 \sqrt[]{x})}_{t = 4} = {[2 (t - 4)]}_{a t t = 4}$

= 0

0 0

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