A soap bubble of radius 3 cm is formed inside the another soap bubble of radius 6 cm. The radius of an equivalent soap bubble which has the same excess pressure as inside the smaller bubble with respect to the atmospheric pressure is____cm.

Consider a situation in which a ring, a solid cylinder and a solid sphere roll down on the same inclined plane without slipping, Assume that they start rolling from rest and having identical diameter. The correct statement for this situation is :

Easy

The sphere has the greatest and the ring has least velocity of the centre of mass at the bottom of the inclined plane
The ring has the greatest and the cylinder has the least velocity of the centre of mass at the bottom of the inclined plane
All of them will have same velocity
The cylinder has the greatest and the sphere has the least velocity of the centre of mass at the bottom of the inclined plane

Topic:

System of Particles and Rotational Motion

Exam:

JEE Mains 2021 July 22 Shift 2

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1 mole of rigid diatomic gas performs a work of

\frac{Q}{5}

when heat Q is supplied to it. The molar heat capacity of the gas during this transformation is

\frac{x R}{8}

. The value of x is _______.
[R = universal gas constant]

Topic:

Kinetic Theory

Exam:

JEE Mains 2021 Feb 26 Shift 2

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Each side of a box made of metal sheet in cubic shape is 'a' at room temperature ' T ', the coefficient of linear expansion of the metal sheet is '

α

'. The metal sheet is heated uniformly, by a small temperature

Δ T,

so that its new temperature is

T + Δ T

. Calculate the increase in the volume of the metal box.

$4 π a^{3} α Δ T$
$3 a^{3} α Δ T$
$\frac{4}{3} π a^{3} α Δ T$
$4 a^{3} α Δ T$

Topic:

Thermal properties of Matter

Exam:

JEE Mains 2021 Feb 24 Shift 1

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A particle executes S.H.M., the graph of velocity as a function of displacement is :

A parabola
A helix
A circle
An ellipse

Topic:

Oscillations

Exam:

JEE Mains 2021 Feb 26 Shift 2

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Practice questions from Mechanical Properties of Fluids in the same exam

acquires a terminal velocity

A solid sphere of radius

R

v_{1}

when falling (due to gravity) through a viscous fluid having a broken into 27 identical solid spheres. If each of these spheres acquires a terminal velocity,

v_{2}

when falling through the same fluid, the ratio

(v_{1} / v_{2})

equals
(a) 9
(b)

1/27

1/9

(d) 27

Topic:

Mechanical Properties of Fluids

Book:

Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Exam:

JEE Mains 2019

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The top of a water tank is open to air and its water level is maintained. It is giving out

0.74

m^{3}

water per minute through a circular opening of

2 cm

radius is its wall. The depth of the centre of the opening from the level of water in the tank is close to
(a)

4.8 m

(b)

6.0 m

2.9 m

(d)

9.6 m

Topic:

Mechanical Properties of Fluids

Book:

Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Exam:

JEE Mains 2019

View 2 solutions

Water is flowing continuously from a tap having an internal diameter

8 \times 1 0^{- 3} m

. The water velocity as it leaves the tap is

0.4 ms^{- 1}

. The diameter of the water stream at a distance

2 \times 1 0^{- 1} m

below the tap is close to
(a)

7.5 \times 1 0^{- 3} m

(b)

9.6 \times 1 0^{- 3} m

3.6 \times 1 0^{- 3} m

(d)

5.0 \times 1 0^{- 3} m

Topic:

Mechanical Properties of Fluids

Book:

Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Exam:

JEE Mains 2011

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If the terminal speed of a sphere of gold (density

= 19.5 kgm^{- 3}

) is

0.2 ms^{- 1}

in a viscous liquid (density

= 1.5 kgm^{- 3}

), find the terminal speed of a sphere of silver (density

= 10.5 kg / m^{3}

) of the same size in the same liquid. (a)

0.4 ms^{- 1}

(b)

0.133 ms^{- 1}

0.1 ms^{- 1}

(d)

0.2 ms^{- 1}

Topic:

Mechanical Properties of Fluids

Book:

Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Exam:

JEE Mains 2006

View 4 solutions

Practice more questions from Mechanical Properties of Fluids

Easy

Define meta centre.

Topic:

Mechanical Properties of Fluids

View solution

The length of a rubber cord floating on water is 5 cm. The force needed to pull the cord out of water is ______ N. (surface tension of water is

7.2 \times 1 0^{- 4} N m^{- 1}

)

$7.2 \times 1 0^{- 3} N$
$7.2 \times 1 0^{- 4} N$
$7.2 \times 1 0^{- 5} N$
$7.2 \times 1 0^{- 2} N$

Topic:

Mechanical Properties of Fluids

View solution

A cylinder drum, open at the top, contains

15 L

of water. It drains out through a small opening at the bottom.

5 L

of water comes out in time

t_{1}

, the next

5 L

in further time

t_{2}

and the last

5 L

in further time

t_{3}

. Then

$t_{1} < t_{2} < t_{3}$
$t_{1} > t_{2} > t_{3}$
$t_{1} = t_{2} = t_{3}$
$t_{1} > t_{2} = t_{3}$

Topic:

Mechanical Properties of Fluids

View 2 solutions

Two balls of same material of density

ρ

but radius

r_{1}

and

r_{2}

are joined by a light inextensible vertical thread and released from a large height in a medium of coefficient of viscosity

= η

. Find the terminal velocity acquired by the balls. Also find the tension in the string connecting both the balls when both of them are moving with terminal velocity. Neglect buoyancy and change in acceleration due to gravity.

Topic:

Mechanical Properties of Fluids

Book:

Problems in Physics I for IIT JEE (McGraw Hill)

View solution

Practice questions on similar concepts asked by Filo students

From the point of view of significant figures which of the following statements are cc (i)

10.2 cm + 8 cm = 18.2 cm

(iii)

4.2 m \times 1.4 m = 5.88 m^{2}

(ii)

2.53 m - 1.2 m = 1.33 m

(1) (i) \& (iv) only (2) (ii) \& (iii) only (iv)

3.6 m /1.75 sec = 2.1 m / s

(3) (iv) only (4) (ii) \& (iv) only

Topic:

Work, Energy and Power

View solution

The figure below is a square loop carrying current I = 11 A placed in the field B = 22 + 15y mWb/m. The vector torque on the square loop is:

(-2, 2, 0)
(-2, -2, 0)
(2, -2, 0)
(2, 2, 0)
-2.64ax - 3.87az N.m
1.32ax - 3.87ay N.m

Topic:

Physics

View solution

If a body is projected with a velocity '

u

' making an angle of

3 0^{\circ}

with the horizontal and another with the same velocity making an angle of

6 0^{\circ}

with the horizontal, then maximum heights reached are in the ratio

1) 3 : 1 2) 1 : 2

$1 : 3$
$2 : 1$

Topic:

Mechanics

View solution