parallel Search

Q:

The length of diagonal BD of a parallelogram ABCD is 36 cm. P and Q are the centroids of triangle ABC and triangle ADC respectively. What is the length (in cm) of PQ?

A) 6	B) 9
C) 12	D) 18

Answer & Explanation Answer: C) 12

Explanation:

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Filed Under: Volume and Surface Area
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Q:

A parallel-plate capacitor of capacitance C1is made using two gold plates. Another parallel-plate capacitor of capacitance C2is made using two aluminium plates with same plate separation, and all the four plates are of same area. If gand aPare respectively the electrical resistivities of gold and aluminium, then which one of the following relations is correct?

A) C1>C2	B) C2>C1
C) C1pa = C2pg	D) C1 = C2

Answer & Explanation Answer: D) C1 = C2

Explanation:

C1= capacitance of gold plates

C2= capacitance of aluminium plates

rg= Gold’s resistivity

ra= Aluminium’s resistivity

As the capacitance depends on the shape, size & geometrical placing of the conductors & the medium between them, hence, the value of capacitance will be independent of resistivity. Therefore, C1= C2

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Q:

A copper wire of radius r and length lhas a resistance of R. A second copper wire with radius 2r and length lis taken and the two wires are joined in a parallel combination. The resultant resistance of the parallel combination of the two wires will be

A) 5 R	B) 5 R/4
C) 4 R/5	D) R/5

Answer & Explanation Answer: D) R/5

Explanation:

1st copper wire: R = pl/A = pl/ πr2

2ndcopper wire: R’ = p’l’/A’ = pl/(4 πr2) = R/4

If joined in parallel, (1/Req) = (1/R) + (1/R’)

= 1/R + 4/R1/Req= 5/R

Req= R/5

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Filed Under: Physics
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Q:

A parallel-plate capacitor,with air in between the plates, has capacitance C. Now the space between the two plates of the capacitor is filled with a dielectric of dielectric constant 7. Then the value of the capacitance will become

A) C	B) C/7
C) 7C	D) 14C

Answer & Explanation Answer: C) 7C

Explanation:

As the capacitance is charged by the factor equal to the value of dielectric constant, Hence, C’ = kC = 7C

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Q:

Suppose voltage V is applied across a resistance R. The power dissipated in the resistance is P. Now the same voltage V is applied across a parallel combination of three equal resistors each of resistance R. Then the power dissipated in the second case will be

A) P	B) 3P
C) p/3	D) 2p/ 3

Answer & Explanation Answer: B) 3P

Explanation:

P= I^2.R where, I= Current, P= Electric Power, R=Resistance. Here all the resistance is put in parallel combination and in parallel combination the value of Resistance decreases and dissipation of power increase, hence 3 times more power will be dissipated(3P).

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Filed Under: Physics
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Q:

49th Parallel is the boundary line between which two countries?

A) USA and Canada	B) North and South Vietnam
C) Germany and France	D) Brazil and Chile

Answer & Explanation Answer: A) USA and Canada

Explanation:

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Filed Under: World Geography
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Q:

The length of two parallel sides of a trapezium are 18 m and 24 m. If its height is 12 m, then what is the area (in sq.m) of the trapezium?

A) 126	B) 252
C) 504	D) 1024

Answer & Explanation Answer: B) 252

Explanation:

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Filed Under: Volume and Surface Area
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Q:

ABCD is a parallelogram in which AB = 7 cm, BC = 9 cm and AC = 8 cm. What is the length (in cm) of other diagonal?

A) 14	B) 14√2
C) 7	D) 7√2

Answer & Explanation Answer: A) 14

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability
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