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NEET Part Test - 7 - Question 1

A wall is moving with constant velocity u towards a fixed source of sound of frequency 'f'. The velocity of sound is 'v'. The wavelength of the sound reflected by the wall is

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NEET Part Test - 7 - Question 2

In the figure shown, a small block of mass m moves in fixed semicircular smooth track of radius R in vertical plane. It is released from the top. The maximum centrifugal force on the block at the lowest point of track is.

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NEET Part Test - 7 - Question 3

A uniform thin rod of mass m and length R is placed normally on surface of earth as shown. The mass of earth is M and its radius is R. Then the magnitude of gravitational force exerted by earth on the rod is

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NEET Part Test - 7 - Question 4

At the middle of the mercury barometer tube there is a little column of air with the length and there is vacuum at the top as shown. Under the normal atmospheric pressure and the temperature of 300 kelvin, _{ }= 10 cm. Neglect expansion of the tube. The length of the air column if the temperature rises to 330 kelvin will be -

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NEET Part Test - 7 - Question 5

A transverse periodic wave on a string with a linear mass density of 0.200 kg/m is described by the following equation y = 0.05 sin(420t – 21.0 x) where x and y are in metres and t is in seconds. The tension in the string is equal to :

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NEET Part Test - 7 - Question 6

A uniform thin rod of mass ‘m’ and length L is held horizontally by two vertical strings attached to the two ends. One of the string is cut. Find the angular acceleration soon after it is cut :

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NEET Part Test - 7 - Question 7

Calculate moment of inertia of the system about axis AB shown in figure. Each segment of the system is made of a uniform wire of mass per unit length , where r is radius of each segment. The axis of full ring is along Y–axis. The axis of the semicircular rings are along x and z–axis. The centres of all rings coincide at the origin.

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NEET Part Test - 7 - Question 8

An aircraft moving with a speed of 972 km/h is at a height of 6000 m, just overhead of an anti-aircraft gun. If the muzzle velocity of the gun is 540 ms, the firing angle θ for the bullet to hit the aircraft should be

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NEET Part Test - 7 - Question 9

A train is running at a speed of 108 km/hr. An inspection cart is also moving with a speed 10m/s in the same direction as train. The train hits the cart . The velocity of the cart after the collision is (in m/s) nearly.

(Assuming mass of train is much larger compared to mass of cart)

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NEET Part Test - 7 - Question 10

An ice block at 0°C is dropped from height ‘h’ above the ground. What should be the value of ‘h’ so that it just melts completely by the time it reaches the bottom assuming the loss of whole gravitational potential energy is used as heat by the ice ? [Given : L_{f} = 80 cal/gm]

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NEET Part Test - 7 - Question 11

Find maximum amplitude for safe SHM(block does not topple during SHM) of a uniform cubical block of side 'a' on a smooth horizontal floor as shown in figure (sptring is massless) :

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NEET Part Test - 7 - Question 12

In the figure shown, the pulleys and strings are massless. The acceleration of the block of mass 4m just after the system is released from rest is

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NEET Part Test - 7 - Question 13

In the figure shown, a light container is kept on a horizontal rough surface of coefficient of friction . A very small hole of area S is made at depth 'h'. Water of volume 'V' is filled in the container. The friction is not sufficient to keep the container at rest. The acceleration of the container initially is

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NEET Part Test - 7 - Question 14

A solid sphere of iron at 2°C is lying at the bottom of a bucket full of water at 2°C. If the temperature of the water is increased to 3°C, the buoyant force on the sphere due to water will.

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NEET Part Test - 7 - Question 15

Two sources S1 and S2 of same frequency f emits sound. The sources are moving as shown with speed u each. A stationary observer hears that sound. The beat frequency is (v = velocity of sound)

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NEET Part Test - 7 - Question 16

A body performs SHM along the straight line segment ABCDE with C as the mid point of segment AE (A and E are the extreme position for the SHM). Its kinetic energies at B and D are each one fourth of its maximum value. If length of segment AE is 2R, then the distance between B and D is

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NEET Part Test - 7 - Question 17

A wall is made of two layers A and B of the same thickness but different materials as shown. The thermal conductivity of A is thrice that of B. In steady state, the temperature difference across the wall is 36^{0}C. The temperature difference across the layer A is :

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NEET Part Test - 7 - Question 18

Man A is sitting in a car moving with a speed of 54 km/hr observes a man B in front of the car crossing perpendicularly a road of width 15 m in three seconds. Then the velocity of man B (in m/s) will be:

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NEET Part Test - 7 - Question 19

In the figure shown, the minimum force F to be applied perpendicular to the incline so that the block does not slide is : (The block is always in contact with the incline)

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NEET Part Test - 7 - Question 20

A large open tank has two small holes in its vertical wall as shown in figure. One is a square hole of side 'L' at a depth '4y' from the top and the other is a circular hole of radius 'R' at a depth ‘y’ from the top. When the tank is completely filled with water, the quantities of water flowing out per second from both holes are the same. Then, 'R' is equal to :

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NEET Part Test - 7 - Question 22

Given that

where a = constant. Using dimensional analysis, the value of n is

NEET Part Test - 7 - Question 24

A train passes an electric post in 8 seconds and a bridge of length 1km in 108 seconds. The speed of the engine is

NEET Part Test - 7 - Question 25

The negineer of a train moving at a speed v_{1} sights a freight train a distance d ahead of him on the same track moving in the same direction with a slow speed v_{2}. He puts on the brakes and gives his train a constant deceleration α. Then there will be no collision if

NEET Part Test - 7 - Question 27

Sixty four spherical rain drops of equal size are falling vertically through air with a terminal velocity 1.5 ms^{–1}. If these drops coalesce to form a big spherical drop, then terminal velocity of big drop is

NEET Part Test - 7 - Question 28

The average force necessary to stop a bullet of 20 kg at a speed of 250 m/s as it penetrates wood to a distance of 12 cm is

NEET Part Test - 7 - Question 29

If a body is placed on another body which is accelerating by an external force then work done by frictional force on the upper body relative to ground is

NEET Part Test - 7 - Question 31

A pump can hoist 9000 kg of coal per hour from a mine of 120 m deep. Then the power in watts, assuming that its efficiency is 75% is

NEET Part Test - 7 - Question 32

Let a_{r} and a_{t} represent radial and tangential acceleration. The motion of a particle may be circular if

NEET Part Test - 7 - Question 33

A rod is of length 3 m and its mass per unit length is directly proportional to the distance x from its one end. The cetnre of gravity of the rod from that end will be at

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