JAMB Physics Past Questions & Answers - Page 357

1,781.

A body of mass 12kg traveling at 4.2ms-1 collides with a second body of mass 18kg at rest. Calculate their common velocity if the two bodies coalesce after collision?

A.

1.5 ms-1

B.

1.4 ms-1

C.

2.1 ms-1

D.

1.7 ms-1

Correct answer is D

Sum of momentum before collision
M1 U1 + M2M2
12 x 4.2 + 18 x 0
12 x 4.2
= 50.4
Sum of momentum after collision
(m1 + m2)v
= (12 + 18)v
= 30v
V = 50.4/30
= 1.7ms-1

1,782.

A car accelerate uniformly from rest at 4 ms-2. How far will it travel in the fifth complete second?

A.

100 m

B.

50 m

C.

32 m

D.

18 m

Correct answer is D

From S = ut + 1/2 at2
S = 1/2 ut2, since U = 0
Let S5 = distance in 5 seconds
= 1/2 x 4 x 52 = 2 x 25 = 50m
S4 = distance covered in 4 seconds
= 1/2 x 4 x 42 = 2 x 16 = 32m
Distance covered in the fifth second
S5 - S4 = 50m - 32m = 18m

1,783.

The value of x, y and z respectively in the expression M\(^x\) L\(^y\)T \(^z\) for the universal gravitational constant G are?

A.

2, -3, -2

B.

-1, 3, -2

C.

-1, 2, -3

D.

-2, -1, 3

Correct answer is B

F ∝ M1M2
__r2

 

 

=> F = GM1M2
__r2


where F is the force of attraction
M1 and M2 are masses of the two bodies, r is the distance between them, and G is the universal gravitational constant

 

 

 

∴ G = _Fr2
M1M2

 

 

∴ dimension for force, F = ML = MLT-2
T.T

 

 

The dimension for G = MLT-2L2 = L3T-2
_MM _M


= M-1L3T-2
In comparison with MxLyTz, the values for x, y and z = -1, 3, -2

 

1,784.

14 N + 4 He → 17 O + X
7 2 8


In the equation above, the particles X is?

A.

a proton

B.

a neutron

C.

an α - particle

D.

a β - particle

Correct answer is A

for the conversion of mass 14 + 4 = 17 + x
∴ X = 18 - 17 = 1
for conservation pf charge:7 + 2 = 8 + y
y = 9 - 8 = 1
Thus, the element is 11X which is equal to hydrogen nucleus ( proton)

1,785.

If electron are accelerated from rest through a potential difference of 10kv, what is the wavelength of the associated electron
[m = 9.1 x 10-31kg, e = 1.6 x 10-19C, h = 6.6 x 10-34js]

A.

1.22 x 10-11m

B.

3.87 x 10-10m

C.

2.27 x 1011m

D.

2.27 x 1014m

Correct answer is A

λ = __h
√(2evm)

 

= ____6.6 x 10-34
√(2 x 1.6x10-19 x 10000 x 9.1x10-31)


1.223 x 10-11m