TG EAPCET 2024 (Online) 9th May Morning Shift

1

PYP

TG EAPCET 2024 (Online) 9th May Morning Shift

A car is moving on circular track banked at an angle of $45^{\circ}$. If the maximum permissible speed of the car to avoid slipping is twice the optimum speed of the car to avoid the wear and tear of the tyres, then the coefficient of static friction between the wheels of the car and the road is

A

0.3

B

0.5

C

0.4

D

0.6

2

PYP

TG EAPCET 2024 (Online) 9th May Morning Shift

A block of mass 0.5 kg is at rest on a horizontal table. The coefficient of kinetic friction between the table and the block is 0.2 . If a horizontal force of 5 N is applied on the block, the kinetic energy of the block in a time of 4 s is (Acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )

A

64 J

B

128 J

C

256 J

D

512 J

3

PYP

TG EAPCET 2024 (Online) 9th May Morning Shift

The equation of motion of a damped oscillator is given by $m \frac{d^2 x}{d t^2}+b \frac{d x}{d t}+k x=0$. The dimensional formula of $\frac{b}{\sqrt{k m}}$ is

A

$\left[M^0 L^0 T^0\right]$

B

$\left[M^0 L^1 T^{-2}\right]$

C

$\left[M^1 L^1 T^{-2}\right]$

D

$\left[M^1 L^2 T^{-2}\right]$

4

PYP

TG EAPCET 2024 (Online) 9th May Morning Shift

A body is falling freely from the top of a tower of height 125 m . The distance covered by the body during the last second of its motion is $x \%$ of the height of the tower. Then, $x$ is (Acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )

A

9

B

36

C

25

D

49

5

PYP

TG EAPCET 2024 (Online) 9th May Morning Shift

A body $P$ is projected at an angle of $30^{\circ}$ with the horizontal and another body $Q$ is projected at an angle of $30^{\circ}$ with the vertical. If the ratio of the horizontal ranges of the bodies $P$ and $Q$ is $1: 2$, then the ratio of the maximum heights reached by the bodies $P$ and $Q$ is

A

$1: 4$

B

$1: 6$

C

$2: 3$

D

$1: 1$