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A police jeep is chasing with a velocity of 45 km/h, a thief in another jeep moving with velocity 153 km/h. Police fire a bullet with muzzle velocity of 180 m/s. The velocity with which it will strike the car of the thief is :

150 m/s
27 m/s
450 m/s
250 m/s

172.

A car covers 2/5 of a certain distance with speed v₁ and rest 3/5 part with velocity v₂_. The average speed of the car is :

$\frac{1}{2} \sqrt{v_{1} v_{2}}$
$\frac{5 v_{1} v_{2}}{3 v_{1} + 2 v_{2}}$
$\frac{2 v_{1} v_{2}}{v_{1} + v_{2}}$
$\frac{v_{1} + v_{2}}{2}$

173.

Apparent frequency of sound of engine is changing in the ratio 5/3 under the condition that engine is first aprroaching and then receding away from the observer. If velocity of sound is 340 m/s, then velocity of engine is

340 m/s
170 m/s
85 m/s
310 m/s

174.
If a body travels half the distance with velocity v₁ and the next half with velocity v₂,its average velocity will be given by

$v = \sqrt{v_{1} v_{2}}$

$v = \frac{v_{1} + v_{1}}{2}$

$v = \frac{v_{1}}{v_{2}}$

$\frac{2}{v} = \frac{1}{v_{1}} + \frac{1}{v_{2}}$

$\frac{2}{v} = \frac{1}{v_{1}} + \frac{1}{v_{2}}$

Average velocity = $\frac{total distance travelled}{total time taken}$

Let the total distance = d

$∴ v = \frac{d}{\frac{d}{2 v_{1}} + \frac{d}{2 v_{2}}} v = \frac{d}{\frac{d}{2} (\frac{1}{v_{1}} + \frac{1}{v_{2}})} or v = \frac{2 v_{1} v_{2}}{v_{1} + v_{2}} or \frac{v_{1} + v_{2}}{v_{1} v_{2}} = \frac{2}{v} or \frac{1}{v_{1}} + \frac{1}{v_{2}} = \frac{2}{v}$

175.

The ratio of the numerical value of the average velocity and average speed of body is always

unity
unity or less
unity or more
less than unity

176.

A wheel of car is revolving at the rate of 1200 cycle/min. On pressing the accelerator, after 10s, it does 4500 cycle/min then radial acceleration of the wheel is

30 rad/s²
1880 degree/s²
40 rad/s²
1980 degree/s²

177.

If a body loses half of its velocity on penetrating 3 cm in a wooden block then how much will it penetrate more before coming to rest?

1 cm
2 cm
3 cm
4 cm

178.

A stone is dropped in 19.6 m depth well, echo is heard in 2.06 s, then velocity of sound is

315.2 m/s
320.5 m/s
326.7 m/s
332.4 m/s

179.

An observer is coming towards plane mirror with a speed of 6 m/s, then apparent velocity of his image is

6 m/s
4 m/s
12 m/s
3 m/s

180.

A man wants to slide down a rope. The breaking load for the rope is $\frac{2}{3}$ rd ofthe weight of the man. With what minimum acceleration should fireman slide down?