2025 · Paper 1

Complete GATE XE 2025 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 67–69 of 175. Imported answers require review unless explicitly marked reviewed.

Question 67

Open question

XE-DMCQ1 markNeeds review

A ball of mass



approaches a stationary ball of mass



with horizontal velocity of 2 m/s from left to right. After a perfectly elastic central collision, the horizontal velocity of the heavier ball is 1 m/s from left to right.

Which one of the following statements, regarding the velocity (in m/s) of the lighter ball after impact, is TRUE?

Your answerChoose one option.

A.

Comes to rest

B.

Moves from left to right at 5 m/s

C.

Moves from right to left at 5 m/s

D.

Moves from left to right at 1 m/s

Log in to check the answer

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Question 68

Open question

XE-DMCQ1 markNeeds review

The Mohr’s circle corresponding to an infinitesimal element is shown in the figure. The plane PQ in the infinitesimal element, at an angle of



from the x-axis, is in a state of pure shear.

Which one of the following values of



(in degrees) is CORRECT?



Your answerChoose one option.

A.

90

B.

60

C.

45

D.

120

Log in to check the answer

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Question 69

Open question

XE-DMCQ1 markNeeds review

The two-dimensional state of stress, in an infinitesimal element, is given by



,



and



.

Which one of the following options is the maximum shear stress (in MPa) in the element?

Your answerChoose one option.

A.

500

B.

400

C.

800

D.

300

Log in to check the answer

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer