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Ultrasonic beep frequency emitted by bat, $\nu$ = 40 kHz

Velocity of the bat, $v_b$ = 0.03v, where v = velocity of sound in air

The apparent frequency of the sound striking the wall is given as:

${\nu }^{\text{'}}=(\frac{v}{v-v_b}$ ) $\nu$ = $(\frac{v}{v-0.03v}$ ) $\times 40$ = $\frac{40}{0.97}$ kHz = 41.24 kHz

This frequency is reflected by the stationary wall ( $v_s=0)$ towards the bat

The frequency ( $\nu \text{'}\text{'})\mathrm{o}\mathrm{f}\mathrm{}\mathrm{t}\mathrm{h}\mathrm{e}\mathrm{}\mathrm{r}\mathrm{e}\mathrm{c}\mathrm{e}\mathrm{i}\mathrm{v}\mathrm{e}\mathrm{d}\mathrm{}\mathrm{s}\mathrm{o}\mathrm{u}\mathrm{n}\mathrm{d}\mathrm{}\mathrm{i}\mathrm{s}\mathrm{}\mathrm{g}\mathrm{i}\mathrm{v}\mathrm{e}\mathrm{n}\mathrm{}\mathrm{b}\mathrm{y}\mathrm{}\mathrm{t}\mathrm{h}\mathrm{e}\mathrm{}\mathrm{r}\mathrm{e}\mathrm{l}\mathrm{a}\mathrm{t}\mathrm{i}\mathrm{o}\mathrm{n}:$

${\nu }^{\text{'}\text{'}}=(\frac{v+v_b}{v}$ ) $\nu \text{'}$ = ( $\frac{v+0.03v}{v}$ ) $\times 41.24\mathrm{k}\mathrm{H}\mathrm{z}$ = 1.03 $\times 41.24$ = 42.47 kHz

The highest package offered during the 2025 placement drive at Lingaya's Vidyapeeth stood at INR 15 LPA. The same is tabulated below: 

Yes, candidates applying for admission at Greater Noida Institute of Technology IPU must have a valid score in JEE Main Paper-I for BTech programme. For lateral entry to the BTech course, aspirants need to pass IPU CET. Besides, aspirants must also fulfil the eligibility requirements for admission. Selected candidates have to confirm their seat by paying the course fee after completion of the selection process.

Let $v_s$ and $v_p$ be the velocities and $t_s$ and $t_p$ be the time taken to reach the seismograph from the epicentre of S and P waves respectively.

Let L be the distance between the epicentre and the seismograph.

We have:

L = $v_s{t}_s$ …. (i)

L = $v_p{t}_p$ …. (ii)

It is given,  $v_s$ = 4 km/s and $v_p$ = 8 km/s

From equation (i) and (ii), we get

4 $t_s$ = 8 $t_p$ or $t_s=$ 2 $t_p$ …. (iii)

It is also given,

$t_s-t_p=240s$ so $t_p=240sand{t}_s=480s$

From equation (ii), we get, L = 8 $*240$ = 1920 km

Hence, the earthquake occurred at a distance of 1920 km from the seismograph.

Koneru Lakshmaiah University Vijayawada is done through both entrance-based exams and merit scores. The university conducts in-house entrance exams such as KLEEE: KL Engineering Entrance Exam,  KLSAT: KL Science Aptitude Test,  KLECET: KL Engineering Common Entrance Test,  KLHAT: KL Humanities Aptitude Test,  KLMAT: KL Management Admission Test

Lingaya's Vidyapeeth has a good track record of placements for its BTech courses. Check out the key highlights of Lingaya's Vidyapeeth placements for the BTech Class of 2025 in the table below:

The NID B.Des Seat Allotment Round 1 will start on May 27, 2025 and will end on May 30, 2025. At the time of seat allocation, candiates will have to submit the fees and uplaod the necessary documents. 

The Andhra Pradesh EAMCET cutoff for the BTech programme at SK University may vary each year. Moreover, according to the BTech Andhra Pradesh EAMCET cutoff 2024 of SK University, the most competitive specialisations are CSE and ECE. The AP EAMCET cutoff has been announced under the General-All India category. Refer to the following table for more details:

Operating frequency of the SONAR system,  $\nu$ = 40 kHz

Speed of enemy submarine,  $v_e=$ 360 km/h = 100 m/s

Speed of sound in water, v = 1450 m/s

The source is at rest and the observer (enemy submarine) is moving towards it. Hence, the apparent frequency (f’) received and reflected by the submarine is given by the relation:

f = ( $\frac{v+v_e}{v})\nu =$  ( $\frac{1450+100}{1450})\times 40$ = 42.76 kHz

The frequency (f’) received by the enemy submarine is given by the relation:

f’ = ( $\frac{v}{v-v_e}$ )f = ( $\frac{1450}{1450-100}$ ) $\times 42.76$ = 45.93 kHz

Before selecting a BCom programme, candidates should assess specialisations offered, curriculum relevance, faculty expertise, industry exposure, internship opportunities, and overall return on investment to ensure alignment with their career goals.

Candidates can not get direct admission to Xavier School of Human Settlements as the admission process for the courses is entrance based. Candidates are required to appear for the entrance exams in order to get a shot at securing a seat in their desired course. The institute accepts candidates in a merit based process for the BPlan course. Candidates can learn more about the admission process through the official website. 

Pandit SN Shukla University BA graduates can explore career opportunities across different sectors. Candidates wanting to make a career in government sector, can apply for civil services and Indian foreign services. The government banking sector offers positions in finance and administration. To get a government job, graduates have to clear the selection procedure of the job posting department. Students can read more on Career after BA.

The average package for Lingaya’s Vidyapeeth placements 2025 is yet to be released. However, the highest package offered during the 2025 placements was INR 15 LPA.

The narrow sound pulse does not have a fixed wavelength or frequency. However, the speed of the sound pulse remains the same, which is equal to the speed in that medium. The short pip produced after 20 s does not mean that the frequency of the whistle is $\frac{1}{20}\mathrm{o}\mathrm{r}$ 0.05 Hz. It means that 0.05 Hz is the frequency of repetition of the pip of the whistle. So the answers are

(a)

(i) No

(ii) No

(iii) Yes

(b) No

As per the latest report, Lingaya's Vidyapeeth concluded the placement drive for the batch passed out in 2025 with 650 students placed. The same is tabulated below:

During the 2025 placement drive at Lingaya’s Vidyapeeth, the highest salary package offered was INR 15 LPA. The same is tabulated below: