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2 years ago

Consider two solid spheres of radius R with uniformly distributed charge throughout their volumes. Point

Physics

1 answer:

8090 [49]2 years ago

4 0

The ratio of the total charge on the charges, Q2/Q1 is; 9

<h3>Electric field and Total Charge</h3>

The electric field due to a charge is directly proportional to its magnitude and inversely proportional to the square of the distance to such point;

Since, E1 = E2, it follows that;

Q1/(d1)² = Q2/(d2)²

Where, d1 = 0.5 and d2 = 1.5

Q1/(0.5)² = Q2/(1.5)²

Q1/0.25 = Q2/2.25

Hence, Q2/Q1 = 2.25/0.25

Q2/Q1 = 9.

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Find the ratio of the lengths of the two mathematical pendulums, if the ratio of periods is 1.5

juin [17]

Answer:

The ratio of lengths of the two mathematical pendulums is 9:4.

Explanation:

It is given that,

The ratio of periods of two pendulums is 1.5

Let the lengths be L₁ and L₂.

The time period of a simple pendulum is given by :

$T=2\pi \sqrt{\dfrac{l}{g}}$

$T^2=4\pi^2\dfrac{l}{g}\\\\l=\dfrac{T^2g}{4\pi^2}$

Where

l is length of the pendulum

$l\propto T^2$

$\dfrac{l_1}{l_2}=(\dfrac{T_1}{T_2})^2$ ....(1)

ATQ,

$\dfrac{T_1}{T_2}=1.5$

Put in equation (1)

$\dfrac{l_1}{l_2}=(1.5)^2\\\\=\dfrac{9}{4}$

So, the ratio of lengths of the two mathematical pendulums is 9:4.

3 0

3 years ago

Kamal, Kamala, Krishna invert a sum of RS= 30,000 on a business in the ratio 2 : 3 : 5. Find the each of their investment.

Crazy boy [7]

Here's the solution,

Let the shares be 2x, 3x and 5x according to their shared investment ratio,

now, we know :

=》2x + 3x + 5x = 30000

=》10x = 30000

=》x = 3000

So, value of x = 3000

hence, the share of each shareholder is :

kamal = 2x = 6000
kamala = 3x = 9000
Krishna = 5x = 15000

i hope it helped.....

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