Let N denote the set of all natural numbers. Define two binary relations on N as R 1 = x , y ∈ N × N : 2 x + y = 10 and R 2 = x , y ∈ N × N : x + 2 y = 10 . Then

both R 1 and R 2 are transitive relations

both R 1 and R 2 are symmetric relations

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Which term refers to the land granted to a noble in exchange for military service?

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Important Questions on Relations and Functions

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Mathematics>Algebra>Relations and Functions>Relations

A particle of mass

m

is moving in a circular path of constant radius

r

such that its centripetal acceleration

a_{c}

is varying with time

t

a_{c} = k^{2} r t^{2}

, where

k

is a constant. The power delivered to the particle by the force acting on it is -

EASY

Mathematics>Algebra>Relations and Functions>Relations

Let

N

denote the set of all natural numbers. Define two binary relations on

N

R_{1} = \{(x, y) \in N \times N : 2 x + y = 10\}

and

R_{2} = \{(x, y) \in N \times N : x + 2 y = 10\}

. Then

EASY

Mathematics>Algebra>Relations and Functions>Relations

Which method of heat transfer depends on gravity?

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Mathematics>Algebra>Relations and Functions>Relations

Permanent winds blowing toward the equator are called _____.

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Mathematics>Algebra>Relations and Functions>Relations

Assertion: It is hotter over the top of fire than at the same distance on the sides.

Reason: Air surrounding the fire conducts more heat upwards.

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Mathematics>Algebra>Relations and Functions>Relations

State the unit and dimensions of coefficient of convection?

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Mathematics>Algebra>Relations and Functions>Relations

It is hotter at the same distance over the top of a fire than it is on the side of it, mainly because :

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Mathematics>Algebra>Relations and Functions>Relations

Explain why felt rather than air is used for thermal insulation even though the thermal conductivity of air is less than that of felt?

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Mathematics>Algebra>Relations and Functions>Relations

A liquid of mass m and specific heat c is heated to a temperature 2T. Another liquid of mass

\frac{m}{2}

and specific heat 2c is heated to a temperature T. If these two liquids are mixed, the resulting temperature of the mixture is

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Mathematics>Algebra>Relations and Functions>Relations

Trade wind is an example of which of these?

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Mathematics>Algebra>Relations and Functions>Relations

The equatorial and polar regions of the earth receive unequal solar heat. The convection current arising due to this is called:

HARD

Mathematics>Algebra>Relations and Functions>Relations

Explain how convection causes trade winds.

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Mathematics>Algebra>Relations and Functions>Relations

Ventilators are provided in rooms just below the roof. Why?

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Mathematics>Algebra>Relations and Functions>Relations

An ordinary electric fan does not cool the air; still, it gives comfort in summer. Explain.

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Mathematics>Algebra>Relations and Functions>Relations

Why convection cannot take place in a solid?

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Mathematics>Algebra>Relations and Functions>Relations

In which of the following process, convection does not takes place primarily?

HARD

Mathematics>Algebra>Relations and Functions>Relations

Explain the role of rotation of earth in the movement of trade winds.

HARD

Mathematics>Algebra>Relations and Functions>Relations

In which of the following processes, convection of heat does not take place?

EASY

Mathematics>Algebra>Relations and Functions>Relations

Two liquids

A

and

B

are at

32 ° C and 24 ° C .

When mixed in equal masses the temperature of the mixture is found to be

28 ° C

. Their specific heats are in the ratio of

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Mathematics>Algebra>Relations and Functions>Relations

Which one of the following processes depends on gravity?

Which term refers to the land granted to a noble in exchange for military service?

Important Questions on Relations and Functions

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