Riddle:What goes Z to A??​

Other national government units indirectly participate in the tourism industry.

• Philippine Tour Operators of the Philippines (PHILTOA)
• Manila Japan Travel Agencies and Hotel Association (MAJTAHA)
• American Association of Travel Agencies (ASTA)
• Pacific Travel Association (PATA)
• SKAL Clubs (Manila, Makati, Cebu, & Davao)

Answer:

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Class 11

>>Physics

>>Thermal Properties of Matter

>>Thermal Expansion

>>Two rods of the same length, have radii

Question

Bookmark

Two rods of the same length, have radii in the ratio 3:4. Their densities are respectively 8000 and 9000kg/m

3

. Their specific heats are in the ratio of 2:3.When the same amount of heat is supplied to both,the changes in their lengths are in the ratio. (If their linear coefficients are in the ratio 5:6)

Medium

Solution

verified

Verified by Toppr

Correct option is B)

Heat supplied: Q=msΔθ where m is the mass of the rod, , s is the specific heat of the rod and Δθ is the temp difference.

Δl=lαΔθ where α is the co-efficient of linear expansion and l is the length before being heated.

m=πr

2

lρ

Combining the above relations

Q=πr

2

lρsΔθ

Q

1

=Q

2

given

∴πr

1

2

l

1

ρ

1

s

1

Δθ

1

=∴πr

2

2

l

2

ρ

2

s

2

Δθ

2

∴πr

1

2

l

1

ρ

1

s

1

(

l

1

α

1

Δl

1

)=πr

2

2

l

2

ρ

2

s

2

(

l

1

α

2

Δl

2

)

Given l

1

=l

2

∴

Δl

2

Δl

1

=

r

1

2

ρ

1

s

1

r

2

2

ρ

2

s

2

α

2

α

1

=(

3

4

)

2

8000

9000

2

3

6

5

=

2

5

search-icon-header

Search for questions & chapters

search-icon-image

Class 11

>>Physics

>>Thermal Properties of Matter

>>Thermal Expansion

>>Two rods of the same length, have radii

Question

Bookmark

Two rods of the same length, have radii in the ratio 3:4. Their densities are respectively 8000 and 9000kg/m

3

. Their specific heats are in the ratio of 2:3.When the same amount of heat is supplied to both,the changes in their lengths are in the ratio. (If their linear coefficients are in the ratio 5:6)

Medium

Solution

verified

Verified by Toppr

Correct option is B)

Heat supplied: Q=msΔθ where m is the mass of the rod, , s is the specific heat of the rod and Δθ is the temp difference.

Δl=lαΔθ where α is the co-efficient of linear expansion and l is the length before being heated.

m=πr

2

lρ

Combining the above relations

Q=πr

2

lρsΔθ

Q

1

=Q

2

given

∴πr

1

2

l

1

ρ

1

s

1

Δθ

1

=∴πr

2

2

l

2

ρ

2

s

2

Δθ

2

∴πr

1

2

l

1

ρ

1

s

1

(

l

1

α

1

Δl

1

)=πr

2

2

l

2

ρ

2

s

2

(

l

1

α

2

Δl

2

)

Given l

1

=l

2

∴

Δl

2

Δl

1

=

r

1

2

ρ

1

s

1

r

2

2

ρ

2

s

2

α

2

α

1

=(

3

4

)

2

8000

9000

2

3

6

5

=

2

5

horse - mare (opposite gender)

wizard- witch(gender)

wizard- ordinary