JAMB Physics Past Questions & Answers - Page 355

1,771.

Two metals P and Q of length l1 and l2 are heated through the same temperature difference. If the ratio of the linear expansivities of P to Q is 2:3 and the ratio of lengths is 3:4. What is the ratio of increase in length of P to Q?

A.

7:5

B.

5:7

C.

1:2

D.

2:1

Correct answer is C

Metals P, Q
original length lP, lQ
Increase in length ΔlP, ΔlQ
Linear expansivities αP, αQ
∴ αP/αQ = 2/3 ; and lP/lQ = 3/4
But increase in length, Δl = αlΔθ
∴ΔlP = αPlPΔθ
ΔlQ = αQlQΔθ

ΔlP = αPlPΔθ = 2 x 3 = 1
ΔlQ αQlQΔθ 3 4 2


∴ Ratio of increase in length of P to Q = 1:2

1,772.

The diagram above represents balls in an undulating surface. Which of the following option represents positions of stable equilibrium?

A.

III, IV and VIII

B.

II, V and VIII

C.

III, VI and IX

D.

I, IV and VII

Correct answer is C

A bod y is said to be in stable equilibrium if after a slight displacement, the body returns to its former position. Thus, position III, VI and XI represents position of stable equilibrium

1,773.

The diagram above shows a velocity - time graph. The statement that is true about this motion is that the car?

A.

has no acceleration between point F and G

B.

decelerates between F and H

C.

has a constant soeed between points E and F

D.

Accelerates between points F and G

Correct answer is A

Above are the V-t graphs for
I Uniform acceleration
II uniform retardation
III Uniform velocity
Thus the car has no acceleration between point F and G since that portion of the graph represents uniform velocity

1,774.

From the diagram above, if the potential difference across the resistor, capacitor and inductor are 80 v, 110 v, 40 v respectively, the effective potential difference is?

A.

116.3 V

B.

50.0 V

C.

230.0 V

D.

106.3 V

Correct answer is D

V = √ \({(v_l  -  v_c)}^2 + V^2R\) 



V =√ \({(40 - 110)}^2 + 80^2\) 


V = √ \({-70}^2 + 80^2\) 

=√ 4900 + 6400 

=√ 11300 

= 106.3v

1,775.

Calculate the e.m.f of the cell in the above circuit if its internal resistance is negligible

A.

12 V

B.

8 V

C.

2 V

D.

36 V

Correct answer is B

1/R = 1/R1 + 1/R2 = 1/3 + 1/6
= 3/6
∴ R = 6/3 = 2
E = I(R + r) = 4(2 + 0) = 8v