SAT (Stage-1) Mock Test

Result

SAT (Stage-1) Mock Test - 43

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Weekly Quiz Competition

Question 1
1 / -0

The critical angle for a denser medium is 35°. If the light travelling from a denser medium to a rarer medium makes an angle of 60° with the boundary of two media, then which of the following statements is true?

A
Light will be refracted into the rarer medium.

B
Light will travel parallel to the boundary.

C
Light will be totally reflected back into the same medium.

D
None of these

Solution

As the angle of incidence is 30°, which is less than the critical angle of incidence, so the light travelling from the denser medium to rarer medium will undergo normal refraction.
Question 2
1 / -0

¹⁴N₇ is bombarded with ⁴He₂. The resulting nucleus is ¹⁷O₈ with the emission of a/an

A
neutrino

B
antineutrino

C
proton

D
neutron

Solution

For the given reaction , we have

¹⁴N₇ + ⁴He₂ → ¹⁶O₈ + ¹p₁

Hence proton is emitted.
Question 3
1 / -0

The sum of the integers lying between 1 and 100, which are divisible by either 3 or 7, is

A
5050

B
5000

C
3000

D
None of these

Solution

Let A = Numbers divisible by 3 up to 100 = 33
B = Numbers divisible by 7 up to 100 = 14
A ∩B is divisible by 3 and 7 both.
Sum of numbers of set A = 33/2 [2 x 3 + 32 x 3] = 33/2 x 102 = 33 x 51
Sum of numbers of set B = 14/2 [2 x 7 + 13 x 7] = 7(105)
Sum of numbers of set A ∩B = 4/2 [2 x 21 + 3 x 21] = 2(105)
So, using sum of numbers of set A ∪B = Sum of numbers of set A + Sum of numbers of set B - Sum of numbers of set A∩B
= 33 x 51 + 7 x 105 – 2 x 105 = 2208