NEET physics

Question 1

Radius of orbit of satellite of earth is R. Its kinetic energy is proportional to

$\frac{1}{R}$

$\frac{1}{\sqrt{R}}$

R

$\frac{1}{R^{\frac{3}{2}}}$

Solution

$\frac{1}{R}$

Kinetic energy of the satellite

$KE = \frac{1}{2} {mv}_{o}^{2} . . . . . . 1 Where v_{o} = \sqrt{\frac{GM}{R}} Now putting the value of v_{o} is {eq}^{n} (1) KE = \frac{1}{2} m {(\sqrt{\frac{GM}{R^{2}}})}^{2} = \frac{1}{2} \frac{mGM}{R} ∴ KE \propto \frac{1}{R}$

So the kinetic energy of the satellite is inversely proportional

to R. Therefore R increases then KE decreases.

Question 2

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A cone filled with water is revolved in a vertical circle of radius 4 m and the water does not fall down. What must be the maximum period of revolution?

2 s

4 s

1 s

6 s

Solution

4 s

When a cone filled with water is revolved in a vertical circle, then the velocity at the highest point is given by

$ν \geq \sqrt{g r} a l s o ν = r ω = r \frac{2 π}{T} H e n c e, \frac{2 πr}{T} \geq \sqrt{r g} T \leq \frac{2 πr}{\sqrt{r g}} = 2 π \sqrt{\frac{r}{g}} = 2 π \sqrt{\frac{4}{9.8}} = 2 \times 3.14 \times 0.6389 = 4.0 \sec so T_{\max} = 4 \sec$

Question 3

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The maximum range of a gun on horizontal terrain is 16 km if g=10m/s^2.What must be the muzzle velocity of the shell?

200 m/s

100 m/s

400 m/s

300 m/s

Solution

400 m/s

The velocity with which a bullet or shell leaves the muzzle of a gun.

We know that in projection of the particle for maximum range, θ = 45^o

Now maximum rang e R = \frac{μ^{2} \sin 2 θ}{g} R = \frac{μ^{2} \sin 90^{o}}{g} (\sin 90^{o} = 1) μ = \sqrt{Rg} . . . . . (1) Given : - R_{\max} = 16 km = 16 \times 10^{3} m g = 10 m / s^{2} Now from equation (1) μ = \sqrt{16 \times 10^{3} \times 10} = 400 m / s

Question 4

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The length, breadth and thickness of a block are given by l = 12 cm, b = 6 cm and t = 2.45 cm. The volume of the block according to the idea of significant figures should be

1 × 10² cm³

2 × 10² cm³

1.76 × 10² cm³

None of these

Solution

2 × 10² cm³

Using relation for volume

Given:- length of a block = 12 cm

breadth of a block = 6 cm

thickness of a block = 2.45cm

V =length × breadth × thickness

=12 × 6 × 2.45 = 176.4

=1.764 ×10² cm³

The minimum number of significant figures is 1 in thickness, hence the volume will contain only one significant figure.

Therefore V= 2 ×10² cm³

Question 5

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Five particles of mass 2 kg are attached to the rim of a circular disc of radius 0.1 m and negligible mass. Moment of inertia of the system about the axis passing through the centre of the disc and perpendicular to its plane is

1 kg m²

0.1 kg m²

2 kg m²

0.2 kg m²

Solution

0.1 kg m²

The moment of inertia of given system that contains 5 particles each of mass = 2 kg on the rim of circular disc of radius 0.1 m and of negligible mass is given by :

MI of disc + MI of particle

Since the mass of the disc is negligible

∴ MI of the system = MI of particle

= 5 × 2 × (0.1)²

= 0.1 Kg m²

NEET physics

Radius of orbit of satellite of earth is R. Its kinetic energy is proportional to

$\frac{1}{R}$

$\frac{1}{\sqrt{R}}$

R

$\frac{1}{R^{\frac{3}{2}}}$

A cone filled with water is revolved in a vertical circle of radius 4 m and the water does not fall down. What must be the maximum period of revolution?

2 s

4 s

1 s

6 s

The maximum range of a gun on horizontal terrain is 16 km if g=10m/s^2.What must be the muzzle velocity of the shell?

200 m/s

100 m/s

400 m/s

300 m/s

The length, breadth and thickness of a block are given by l = 12 cm, b = 6 cm and t = 2.45 cm. The volume of the block according to the idea of significant figures should be

1 × 10² cm³

2 × 10² cm³

1.76 × 10² cm³

None of these

Five particles of mass 2 kg are attached to the rim of a circular disc of radius 0.1 m and negligible mass. Moment of inertia of the system about the axis passing through the centre of the disc and perpendicular to its plane is

1 kg m²

0.1 kg m²

2 kg m²

0.2 kg m²

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NEET physics

Radius of orbit of satellite of earth is R. Its kinetic energy is proportional to 1R 1R R 1R32

A cone filled with water is revolved in a vertical circle of radius 4 m and the water does not fall down. What must be the maximum period of revolution? 2 s 4 s 1 s 6 s

The maximum range of a gun on horizontal terrain is 16 km if g=10m/s2. What must be the muzzle velocity of the shell? 200 m/s 100 m/s 400 m/s 300 m/s

The length, breadth and thickness of a block are given by l = 12 cm, b = 6 cm and t = 2.45 cm. The volume of the block according to the idea of significant figures should be 1 × 102 cm3 2 × 102 cm3 1.76 × 102 cm3 None of these

Five particles of mass 2 kg are attached to the rim of a circular disc of radius 0.1 m and negligible mass. Moment of inertia of the system about the axis passing through the centre of the disc and perpendicular to its plane is 1 kg m2 0.1 kg m2 2 kg m2 0.2 kg m2

Radius of orbit of satellite of earth is R. Its kinetic energy is proportional to

$\frac{1}{R}$

$\frac{1}{\sqrt{R}}$

R

$\frac{1}{R^{\frac{3}{2}}}$

A cone filled with water is revolved in a vertical circle of radius 4 m and the water does not fall down. What must be the maximum period of revolution?

2 s

4 s

1 s

6 s

The maximum range of a gun on horizontal terrain is 16 km if g=10m/s^2.What must be the muzzle velocity of the shell?

200 m/s

100 m/s

400 m/s

300 m/s

The length, breadth and thickness of a block are given by l = 12 cm, b = 6 cm and t = 2.45 cm. The volume of the block according to the idea of significant figures should be

1 × 10² cm³

2 × 10² cm³

1.76 × 10² cm³

None of these

Five particles of mass 2 kg are attached to the rim of a circular disc of radius 0.1 m and negligible mass. Moment of inertia of the system about the axis passing through the centre of the disc and perpendicular to its plane is

1 kg m²

0.1 kg m²

2 kg m²

0.2 kg m²