AP EAMCET · PHYSICS · Waves and Sound

A solid ball is suspended from the ceiling of a motor car through a light string. A transverse pulse travels at the speed $60 \mathrm{~cm}^{-1}$ on the string, when the car is at rest. When the car accelerates on a horizontal road, then speed of the pulse is $66 \mathrm{~cm}^{-1}$. The acceleration of the car is nearly $\left(g=10 \mathrm{~ms}^{-2}\right)$

A $4.3 \mathrm{~ms}^{-2}$
B $2.9 \mathrm{~ms}^{-2}$
C $6.8 \mathrm{~ms}^{-2}$
D $5.5 \mathrm{~ms}^{-2}$

Verified Solution

Answer & Solution

Correct Answer

(C) $6.8 \mathrm{~ms}^{-2}$

Step-by-step Solution

Detailed explanation

When car is at rest, tension in string is $T=m g$. \[ \begin{aligned} T & =M g=m v_1^2 \\ V_1=\sqrt{\frac{T}{r}} & =\sqrt{\frac{M g}{\mu}} &..(i) \end{aligned} \] When car is accelerating tension,…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

Same subject

The volume of a liquid is proportional to......, given its density $\rho$, viscosity $\eta$ and $t$ the time of flow through a capillary tube of length $L$ and radius $R$, with a pressure difference $p$ across its ends

AP EAMCET 2021 Easy

A body is projected horizontally from the top of a tower of height

180 m

with a velocity of

20 {ms}^{- 1}

. If acceleration due to gravity is

10 {ms}^{- 2}

then match the following.

List-I		List-II
$(A)$	Velocity of the body after $1$ second $($ in ${ms}^{- 1}$ )	(I)	$5$
$(B)$	Horizontal displacement of the body after $1$ second (in meters)	(ii)	$20$
$(C)$	Vertical displacement of the body after $1$ second (in meters)	(iii)	$10$
$(D)$	Vertical velocity of the body after $1$ second $($ in ${ms}^{- 1}$ )	(iv)	$22.4$

The correct answer is

AP EAMCET 2018 Medium

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