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Physics Class 11th

Two solid spheres each of mass 2 kg and radius 75 cm are arranged as shown. Find MOI of the system about the given axis.

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alok kumar singh

Contributor-Level 10

$I = (\frac{2}{5} M R^{2} + M R^{2}) * 2$

$= \frac{14}{5} * 2 * \frac{9}{16}$

$= \frac{63}{20}$

= 3.15 kg m²

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3 months ago

Physics Physics Wave Optics

Unpolarised light incident on transparent glass at incident angle 60°. If reflected ray is completely polarised, then angle of refraction is

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alok kumar singh

Contributor-Level 10

By Brewsters law

m = tani

m = $\sqrt[]{3}$

$1 * \frac{\sqrt[]{3}}{2} = \sqrt[]{3} * s i n r$

$s i n r = \frac{1}{2}$

r = 30°

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3 months ago

Physics Units and Measurement

If $E = \frac{A - x^{2}}{B t}$ where E is energy, x is displacement and t is time. Find dimensions of AB

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alok kumar singh

Contributor-Level 10

[A] = L²

$B = \frac{x^{2}}{t E} \equiv \frac{L^{2}}{T M L^{2} T^{- 2}} = \frac{1}{M T^{- 1}}$

[B] = M^–1T

[AB] = [M^–1L²T]

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3 months ago

Physics Work, Energy and Power

Force on a particle moving in straight line is given by $\vec{F} = 6 t^{2} \hat{i} - 3 t \hat{j}$ and velocity is $\vec{v} = 3 t \hat{i} + 6 t \hat{j}$ . Find power at t = 2.

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alok kumar singh

Contributor-Level 10

$P = \vec{F} \cdot \vec{v}$

= 18t⁴ – 18t²

->P (t = 2) =18 [16 − 4] = 216 W

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3 months ago

Physics Laws of Motion

For the block shown, F₁ is the minimum force required to move block upwards and F₂ is the minimum force required to prevent it from slipping, find $| {\vec{F}}_{1} - {\vec{F}}_{2} |$

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alok kumar singh

Contributor-Level 10

f_K = μmg cosq

= 0.1 * $\frac{50 * \sqrt[]{3}}{2}$

$= 2.5 \sqrt[]{3} N$

F₁= mg sinq + f_K

= 25 + 2.5 $\sqrt[]{3}$

F₂= mg sinq – f_K

= 25 – 2.5

F₁ – F₂ = 5 $\sqrt[]{3}$ N

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3 months ago

Physics Physics Thermodynamics

2 moles of monoatomic gas and 6 moles of diatomic gas are mixed. Molar specific heat, for constant volume, of mixture shall be (R is universal gas constant)

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alok kumar singh

Contributor-Level 10

${(C_{v})}_{m i x} = (\frac{2 * \frac{3}{2} + 6 * \frac{5}{2}}{2 + 6}) R$

$= \frac{(3 + 15) R}{8} = \frac{9}{4} R$

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3 months ago

Physics Dual Nature of Radiation and Matter

de Broglie wavelength of proton = λ and that of an a particle is 2λ. The ratio of velocity of proton to that of a particle is:

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alok kumar singh

Contributor-Level 10

$? = \frac{h}{p}$

$? = \frac{h}{m v_{p}}$

and $2 ? = \frac{h}{4 m v_{?}}$

$\frac{1}{2} = \frac{4 v_{?}}{v_{p}}$

$\frac{v_{p}}{v_{?}} = 8$

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3 months ago

Physics Class 12th

Determine the lowest energy of photon emitted in Balmer series of hydrogen atom.

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alok kumar singh

Contributor-Level 10

For 3 ->2 transitions

DE = 13.6 $(\frac{1}{4} ? \frac{1}{9})$

= 13.6 * $\frac{5}{36}$

= 1.88 eV

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3 months ago

Physics Physics Mechanical Properties of Solids

On increasing temperature, the elasticity of a material

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alok kumar singh

Contributor-Level 10

E = $\frac{S t r e s s}{S t r a i n}$

As temperature increases, strain increases

Elasticity decreases

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3 months ago

Physics Physics Mechanical Properties of Fluids

Water has been filled in a vertical capillary tube upto the top after closing its lower end by a finger Consider radius of capillary r = 1 mm, surface tension is 70 dyne/cm and g = 980 cm/sec2. Which of the option is correct when finger is removed?

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alok kumar singh

Contributor-Level 10

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