A heavy string attached at two ends at same horizontal level and when central dip is very small approaches the following curve

The ends of a string weighing w/metre are attached to two points at the same horizontal level. If the central dip is very small, the horizontal tension of the string throughout is

A

$$\frac{{{\text{w}}l}}{{4{\text{d}}}}$$

B

$$\frac{{{\text{w}}{l^2}}}{{4{\text{d}}}}$$

C

$$\frac{{{\text{w}}{l^2}}}{{8{\text{d}}}}$$

D

$$\frac{{{\text{w}}{l^2}}}{{16{\text{d}}}}$$

A semicircular disc rests on a horizontal surface with its top flat surface horizontal and circular portion touching down. The coefficient of friction between semi circular disc and horizontal surface is µ. This disc is to be pulled by a horizontal force applied at one edge and it always remains horizontal. When the disc is about to start moving, its top horizontal force will

A

Remain horizontal

B

Slant up towards direction of pull

C

Slant down towards direction of pull

D

None of the above

On a night when the sky is clear, the temperature may dip considerably; on a cloudy night the temperature will usually dip much less. The reason for this difference is that

A

the clear sky allows radiant energy to escape readily from the earth

B

on a cloudy night the clouds are warm and therefore retard the cooling

C

the clear sky allows the cold of outer space to reach the earth

D

current of air carry the heat away from the earth on a clear night

Gold is 19 times as heavy as water and Copper is 9 times as heavy as water. Calculate the ratio in which these two metals should be mixed so that the mixture is 15 times as heavy as water.

A

40

B

41

C

42

D

43

In a refinery petroleum crude is fractionated into gas fraction, light ends, intermediate distillates, heavy distillates, residues and by products. The group of products including gas oil, diesel oil and heavy fuel oil belongs to the fraction

A

Heavy distillates

B

Intermediate distillates

C

Light ends

D

Residues

Ponchon Savarit method is based on the use of enthalpy concentration diagram, which contains the bubble point curve (saturated liquid curve), dew point curve (saturated vapour curve) and equilibrium tie lines. As compared to McCabe-Thiele's method, this method

A

Is more accurate in finding the number of equilibrium stages

B

Accounts for the enthalpy changes in the process

C

Facilitates direct calculation of heat load on reboiler & condenser from, the diagram used in this method

D

All of the above

10 g-এর একটি ভর ঘর্ষণহীন একটি অনুভূমিক তলের ওপর দিয়ে গিয়ে দেয়ালের সাথে সংযুক্ত একটি অনুভূমিক স্প্রিংকে 6 m/s বেগে আঘাত করে। যদি স্প্রিংটির স্প্রিং ধ্রুবকের মান 400 N/m হয় তাহলে এটিতে সর্বোচ্চ সংকোচন কত হবে? (A mass of 10 g sliding on a frictionless horizontal surface hits at 6 m/s on a horizontal spring attached to a wall. If the spring has a spring constant of 400 N/m, what is its maximum compression?)

A

0.3 cm

B

3 /√10cm

C

3 cm

D

0.9 cm

Compressibility factor of a real gas is the ratio of the actual volume to that predicted by ideal gas law. As the pressure of the gas approaches zero, the compressibility factor approaches

A

∞

B

0

C

1

D

0.24

কোনো স্থানে ভূ-চুম্বকক্ষেত্রের মান 50 μT । বিনতি(dip angle) 30 ͦ হলে ঐ স্থানের ভূ-চুম্বকক্ষেত্রের আনুভুমিক উপাংশের (horizontal component) মান কত?

A

39 μT

B

25 μT

C

35 μT

D

43.3 μT

একটি পানিপূর্ণ কুয়ার গভীরতা 20m ও ব্যাস 2 m. কুয়াটিকে পানি শূণ্য করার জন্য 5 HP এর একটি পাম্প লাগানো হল। অর্ধেক পানি তোলার পর পাম্পটি নষ্ট হয়ে গেল। বাকি পানি তোলার জন্য একই ক্ষমতা সম্পন্ন আর একটি পাম্প লাগানো হল। প্রথম পাম্প দ্বারা সম্পাদিত কাজের পরিমান নির্ণয় কর।(The depth and diameter of a water filled well are 20 m and 2 m respectively. An engine of 5 HP is attached to pump out the water. The pump was ruined after emptying half of the water. Then another pump of same capacity was attached to pump out rest of the water. Determine the work done by first pump.)

A

2.54 × 104 J

B

1.44 × 104 J

C

2.34×104 J

D

1.54 × 104 J

E

1.54 ×104 J

A heavy string attached at two ends at same horizontal level and when central dip is very small approaches the following curve

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