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1.20 Electric flux, $\phi$= –1.0 $\times {10}^3$ N$m^2$/C

Radius of Gaussian surface, r = 10 cm = 0.1 m

(a) Electric flux piercing through a surface depends on the net charge enclosed inside a body, not on the size of the body. Hence, if the radius is doubled, the net flux passing does not change. The net flux passing will remain as -1  N$\times {10}^3$ N$m^2$/C

(b) The relation between point charge and the electric flux is given by $\phi$=$\frac{q}{{?}_0},$

Where ${?}_0$= Permittivity of free space = 8.854 ×${10}^{-12}$ $C^2{N}^{-1}$$m^{-2}$

Hence point charge q = φ$\times$ ${?}_0$= –1.0 $\times {10}^3\times$ 8.854 $\times {10}^{-12}$ C = - 8.854 $\times {10}^{-9}$ C

= - 8.854$\times {10}^{-3}\mu$C

BeCl₂  (vapour)
In the vapour state, it exists as a chloro-bridged dimer.

To get into Alliance School of Computer Science and Engineering for a M.Tech course, candidates must meet the eligibility criteria set by the college. Students must pass BE/BTech with a minimum of 50% aggregate. The institute offers full-time M.Tech courses of two years' duration. Students can get into this course based on entrance exam scores. 

10.19 Wavelength of the light beam, $?$ = 500 nm = 500 $*{10}^{-9}$ m

Distance of the screen from the slit, D = 1 m $n$

Distance of the first minimum from the centre of the screen, x = 2.5 mm = 2.5 $*{10}^{-3}$ m

Let the width of the slit be = d

From the equation

$n?=x\frac{d}{D}$ we get d = $\frac{n?D}{x}$

$d=\frac{1*500\mathrm{}*{10}^{-9}*1}{2.5\mathrm{}*{10}^{-3}}$  = 2 $*{10}^{-4}$ m = 0.2 mm

Hence, the width of the slot is 0.2 mm

To get AIIMS Mangalagiri, students to secure a rank between 706 and 1357 for admission to the MBBS course, if they belong to the General AI category. 

For the OBC AI category, students need to secure a rank between 2520 and 2575. For the SC, ST, EWS and PWD category, the highest cutoff ranks were 15552, 31007, 2924, and 247614, respectively. 

10.18 Distance between the towers, d = 40 km

Height of the line joining the hills, h = 50 m

Thus, the radial spread of the radio wave should not exceed 40 km

Since the hill is located halfway between the towers,

Fresnel's distance $Z_P$  = $\frac{40}{2}$ = 20 km = 2 $*{10}^{4}m$

Aperture can be taken as a = h = 50 m

Fresnel's distance is given by the relation,

$Z_P$ = $\frac{a^2}{?}$ or

$?=\frac{a^2}{Z_P}$ =  $\frac{{50}^2}{2\mathrm{}*{10}^4}$ = 0.125 m = 12.5 cm

Therefore, the wavelength of the radio wave is 12.5 cm

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• Ana Veselinovi
• LaTosha Brown
• Robert T. Clark
• Wesley Moodie
• Jessica Meuse
• Lucy Baxley
• Hugh Shelton
• Halla Tómasdóttir
• Richard Bowman Myers
• John E. Hyten
• Rick Bright

Students need to submit their Class 12 mark sheet, Diploma/Graduation mark sheet (if applicable), and scanned copies of a recent passport-size photograph and signature. These documents are necessary for verification during the final admission confirmation process at Mohamed Sathak A J College of Engineering.

Yes, students can pursue M.Tech at Alliance School of Computer Science and Engineering. The institute offers a full-time M.Tech course of a two-year duration. M.Tech at Alliance School of Computer Science and Engineering is offered for two years. Interested students can visit the official website of the university and apply for the desired specialisation by filling out the application form.

(i) Magnesium is burnt in air to form magnesium oxide and magnesium nitride.

2Mg + O₂ → 2MgO

3Mg + N₂ → Mg₃N₂.

(ii) Quick lime is heated with silica above 1273 K to obtain calcium silicate

CaO+SiO₂ → CaSiO₃.

(iii) Chlorine reacts with slaked lime to form calcium hypochlorite- a constituent of bleaching powder.

2Ca (OH)₂ + 2Cl₂ → CaCl₂ + Ca (OCl)₂ + 2H₂O.

(iv) Calcium nitrate is heated to obtain CaO, NO₂ and O₂.

2Ca (NO₃)₂→2CaO+4NO₂+O₂.

Candidates wishing to apply for courses at PSGCT must make sure to keep the following documents with them to fill out the application form-

• Government ID
• Class 10 marksheet
• Class 12 marksheet
• Graduation marksheet
• Transfer Certificate

Candidates might be required to upload the scanned copy of these documents to successfully apply for the courses at PSGCT Coimbatore. 

With a TNEA cutoff of 193, you could potentially get into Government College of Technology (GCT), Coimbatore for Mechanical Engineering (M.Tech), or potentially Thiagarajar College of Engineering for ECE, depending on the specific cutoff trends and other factors. GCT is known for its strong Mechanical Engineering program. Thiagarajar College of Engineering has a higher cutoff overall, but it might be possible to get in with 193 for certain branches. 

The final step includes verifying documents and paying the admission fee after the merit list is released. Shortlisted students must confirm their admission by submitting the required documents and making the payment of the tuition fee, which ranges between INR 1.5 Lacs to 2 Lakh.

10.16 Wavelength of the light used, $?=$ 6000 nm = 600 $*{10}^{-9}$ m

Angular width of the fringe, $?=0.1°$ = 0.1 $*\frac{?}{180}$  rad

Angular width of a fringe is related to slit spacing (d) as $?=\frac{?}{d}$

d = $\frac{?}{?}$ = $\frac{600*{10}^{-9}}{0.1\mathrm{}*\frac{?}{180}}$ = 3.44 $*{10}^{-4}$ m

The selection is primarily based on merit, through TNEA counselling or TANCET scores. Academic performance in Class 12 or Diploma courses is also considered. Students are shortlisted based on these criteria and may proceed to the final admission steps upon meeting the cut-off and eligibility standards.

RB Skill Academy generally does not accept direct admissions for any of its courses. Although admissions are purely merit-based, students must still meet the eligibility criteria set by the college. Aspiring students need to pass Class 12 or equivalent from a recognised board to get a seat at the institute. Students can reach out to the admission help desk of the institute for more information.