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6 months ago

Physics Physics Mechanical Properties of Fluids

Two blocks of same mass but different density $ρ_{1} & ρ_{2}$ are floating in water. Block-2 has higher fraction of its volume submerged in water. If buoyant force on them are B₁ & B₂ :-

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Vishal Baghel

Contributor-Level 10

$B = m g \Rightarrow B_{1} = B_{2}$

$ρ_{1} V_{1} g = B = ρ_{w} v_{L D} g$

$\frac{ρ_{2}}{ρ_{W}} = f_{2}$

$\Rightarrow ρ_{1} > ρ_{1}$

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6 months ago

Physics Physics Wave Optics

A car is moving towards a stationary observer at a speed of 108 km/hr. The speed of sound is 330 m/s. If the observer hears the frequency of horn as 550 Hz, what frequency will he hear after the car has passed?

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Vishal Baghel

Contributor-Level 10

$v = 108 * \frac{5}{18} = 30 m / s$

$f_{1} = \frac{C}{C - v} f_{0}$

$f = \frac{330}{330 + 30} * 500 = \frac{33}{36} * 500 = \frac{5500}{12}$

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6 months ago

Physics Chemistry Chemical Kinetics

Assume temperature of 27^oC p = 10⁵ Pa, n = 1 mole diameter of air molecules as 10^-10m, which of the following is correct?

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Vishal Baghel

Contributor-Level 10

$λ = \frac{v}{\sqrt[]{2} π d^{2} n N_{a}} = \frac{R T}{\sqrt[]{2} π d^{2} p N_{a}}$

= $\frac{\frac{25}{3} * 300}{\sqrt[]{2} * π * 1 0^{- 20} * 1 0^{5} * 6 * 1 0^{23}}$

$x^{3} = \frac{v}{n N_{a}}$

$= {(\frac{\frac{25}{3} * 300}{1 0^{5} * 6 * 1 0^{23}})}^{1 / 3}$

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6 months ago

Physics Class 11th

An igloo, a hemispherical enclosure built of ice $(1.67 J / m - s ° C)$ , has as inner radius of 2.50m. The thickness of the ice is 0.5m. At what rate must thermal energy be generated to maintain the air inside the igloo at $5 ° C$ when the outside temperature is - $40 ° C ?$ Ignore all thermal energy losses through the ground or by air currents.

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Vishal Baghel

Contributor-Level 10

$\frac{d H}{d t} = - 2 π x^{2} k \frac{d T}{d x}$

$\frac{d H}{d t} = \frac{2 π * k * 45}{\frac{1}{2.5} - \frac{1}{3}} = 2.25 π k W$

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6 months ago

Physics Physics Oscillations

If we want that a simple pendulum oscillates with same time period in summer as it did in winter, what changes to the simple pendulum should we do during summer?

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Vishal Baghel

Contributor-Level 10

$T = 2 π \sqrt[]{\frac{l}{g}}$

In summer, length will increase due to expansion, hence for same time period we have to decrease $l$ in summer.

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6 months ago

Physics Class 11th

A square of mass m is made of thin wire with sides of length a. Calculate the rotational inertia about the z-axis.

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Vishal Baghel

Contributor-Level 10

$I = \frac{m}{4} * \frac{a^{2}}{3} * 2 + \frac{m}{4} * (\frac{a^{2}}{12} + {(\frac{a}{2})}^{2} + a^{2}) * 2$

$= \frac{m a^{2}}{6} + \frac{2}{3} m a^{2} = \frac{m a^{2} + 4 m a^{2}}{6} = \frac{5 m a^{2}}{6}$

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6 months ago

Physics Motion in a Plane

An electron in a research apparatus follows a circle path. On the electron's first circuit of the apparatus, its speed is v₀ and the radius of its circular path is R. Each time it makes on circuit, it passes a short region where it receives a “kick” and gains an additional speed of $\frac{v_{0}}{100} .$ The electron follows a circular path such that the magnitude of its acceleration is always the same. What is the radius of the circular path after the electron has received 10 kicks?

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Vishal Baghel

Contributor-Level 10

$a = \frac{v_{0}^{2}}{R}$ $\frac{_{}^{}}{}$

after 10 kicks, $v = v_{0} + \frac{10 v_{0}}{100} = 1.1 v_{0}$ $_{} \frac{_{}}{}_{}$

$\Rightarrow R_{1} = 1.21 R$

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6 months ago

Physics Class 11th

A projectile travels at θ below horizontal 1 sec after projection as shown. What is the value of θ?

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Vishal Baghel

Contributor-Level 10

$t a n θ = \frac{v_{y}}{v_{x}} = \frac{u_{y} - g t}{u_{x}}$

$\Rightarrow t a n θ = | \frac{8 - 10}{4} | = | - \frac{1}{2} |$

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6 months ago

Physics Units and Measurement

Which of the following is a CORRECT statement?

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Vishal Baghel

Contributor-Level 10

(1) 2.3056 -> 4 decimals

10.138 -> 3 decimals

-7.4671 -> 4 decimals

_________________

4.9765

Answer should have 3 decimals.

(2) 2.38 * 1.0 = 2.38 -> answer should have 2 significant digits

(3) $\frac{8.05}{3.1} = 2.59 \approx 2.6$ answer should have 2SD

(4) 1.11 - 0.1 = 1.01 $\approx$ 1.0 but is an intermediate step so we keep 1 digit extra. 1.01 * 9.0 = 9.09 $\approx$ 9.1 -> both 1.01 and 9.0 have 2SD

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6 months ago

Physics Waves

A source of sound S is moving with a velocity of 50 m/s towards a stationary observer. The observer measures the frequency of the source as 1000 Hz. What will be the apparent frequency (in Hz) of the source when it is moving away from the observer after crossing him? (Take speed of sound in air as 350 m/s)

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Vishal Baghel

Contributor-Level 10

Kindly consider the following figure

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