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Given A₂ =   $\frac{A_1}{2}$

Bernoulli’s b/w (1) & (2)

$\frac{P_1}{\rho g}+\frac{v_1^2}{2g}+z_1=\frac{{\rho }_2}{\rho g}+\frac{v_2^2}{2g}+z_2$

z₁ = z₂]

$\frac{P_1-P_2}{\rho g}=\frac{v_2^2-v_1^2}{2g}$

[Q = A₁V₁ = A₂V₂]

$\frac{4500}{750}=\frac{{\left(\frac{Q}{A_2}\right)}^2}{2}-{\left(\frac{Q}{A_1}\right)}^2$

$12=Q^2\left[\frac{1}{A_2^2}-\frac{1}{A_1^2}\right]$

$Q=2A_1=2\times 1.2\times 10^{-2}$  

= 2.4 × 10^-2 m³ /sec

= 24 × 10^-3 m³ /sec

= 24

    $t_1=\frac{L}{3V_1}$

$t_2=\frac{L}{3V_2}$

$t_3=\frac{L}{3V_3}$          

$V_{amg}=\frac{L}{t_1+t_2+t_3}=\frac{L}{\frac{L}{3V_1}+\frac{L}{3V_2}+\frac{L}{3V_3}}$

$V_{amg}=\frac{3}{\frac{1}{v_1}+\frac{1}{v_2}+\frac{1}{v_3}}$

$=\frac{3}{\frac{1}{11}+\frac{1}{2\times 11}+\frac{1}{3\times 11}}$              

=    $\frac{3\times 11\times 6}{6+3+2}$

= 3 × b

= 18 m/sec

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NLM² for (1)                                   

mg – T = ma

Þ 2 × 10 – T = 2a

Þ T + 2a = 20                   - (1)

Rotation equestion for (2)

T × R = I_cma

Þ T R =  $I_{CM}\frac{a}{R}$

  $\left[\alpha =\frac{a}{R},Noslippingcondition\right]$

T = $\frac{Ma}{2}$  

$T=\frac{4}{2}a$

T = 2a                  - (2)

from (1) & (2)

2T = 20

T = 10N

Given A₂ = $\frac{{}_{}}{}$ $\frac{A_1}{2}$

Bernoulli’s b/w (1) & (2)

$\frac{P_1}{\rho g}+\frac{v_1^2}{2g}+z_1=\frac{{\rho }_2}{\rho g}+\frac{v_2^2}{2g}+z_2$

[z₁ = z₂]

$\frac{P_1-P_2}{\rho g}=\frac{v_2^2-v_1^2}{2g}$

[Q = A₁V₁ = A₂V₂]

$\frac{4500}{750}=\frac{{\left(\frac{Q}{A_2}\right)}^2}{2}-{\left(\frac{Q}{A_1}\right)}^2$

$12=Q^2\left[\frac{1}{A_2^2}-\frac{1}{A_1^2}\right]$

$Q=2A_1=2\times 1.2\times 10^{-2}$

= 2.4 × 10^-2 m³ /sec

= 24 × 10^-3 m³ /sec

= 24

First resonating length = $\lambda =\frac{V}{f}=\frac{340}{340}=1m$ $\frac{}{}$

Second resonating length = $\frac{3\lambda }{4}=75cm$ $\frac{}{}$

Third resonating length = $\frac{5\lambda }{4}=125cm$ $\frac{}{}$

Height of water required = 125 – 75 = 50cm

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The total fees of the Athena School of Management PGPM course include multiple components, such as tuition fee, admission fee, application fee, etc. Moreover, the total tuition fee for the course is INR 13.5 lakh. The fee amount mentioned is sourced from the official website/sanctioning body and is subject to change. Therefore, it is indicative. 

The primary eligibility requirement to get admission into the PGPM/ MBA course at  Athena School of Management is that applicants must complete their bachelor's degree with decent scores. Moreover, for the selection process, the school accepts relevant scores of GMAT/ NMAT by GMAC/ CAT. If candidates have not appeared in any of the mentioned entrance exam, they can In case an applicant has give the ASAT - Athena Scholastic Ability Test.

Yes, the 2-year full-time programme at Athena School of Management (Mumbai) is called a PGPM (Post Graduate Programme in Management), and it is considered equivalent to an MBA in terms of structure and industry relevance. 

So if you're looking to join an MBA-style management course there, this PGPM is the programme you should apply to.